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<div title="header">
	<p>Swiss Ephemeris 			<sdfield type=PAGE subtype=RANDOM format=PAGE>75</sdfield></p>
</div>
<p><br/>

</p>
<p class="western" align="center"><font color="#808080"><font size="5" style="font-size: 20pt">Programming
interface to the Swiss Ephemeris</font></font></p>
<p class="western"><br/>

</p>
<p class="western">Copyright <b>Astrodienst AG</b> 1997-2011.</p>
<p class="western">This document describes the proprietary
programmer's interface to the Swiss Ephemeris DLL. 
</p>
<p class="western"><br/>

</p>
<p class="western">Swiss Ephemeris is made available by its authors
under a dual licensing  system. The software developer, who uses any
part of Swiss Ephemeris  in his or her software, must choose between
one of the two license models,   which are</p>
<p class="western">  a) GNU public license version 2 or later</p>
<p class="western">  b) Swiss Ephemeris Professional License</p>
<p class="western"><br/>

</p>
<p class="western">The choice must be made before the software
developer distributes software  containing parts of Swiss Ephemeris
to others, and before any public service using the developed software
is activated.</p>
<p class="western"><br/>

</p>
<p class="western">If the developer chooses the GNU GPL software
license, he or she must fulfill the conditions of that license, which
includes the obligation to place his or her whole software project
under the GNU GPL or a compatible license. See
http://www.gnu.org/licenses/old-licenses/gpl-2.0.html</p>
<p class="western"><br/>

</p>
<p class="western">If the developer chooses the Swiss Ephemeris
Professional license, he must follow the instructions as found in
http://www.astro.com/swisseph/ and purchase the Swiss Ephemeris
Professional Edition from Astrodienst and sign the corresponding
license contract.</p>
<p class="western" align="center"><br/>

</p>
<div id="Section1" dir="ltr">
	<div id="Table of Contents1" dir="ltr">
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635944"><span lang="en-US">1.
		The programming steps to get a planet&rsquo;s position	5</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635945"><span lang="en-US">2.
		The functions swe_calc_ut() and swe_calc()	7</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635946"><span lang="en-US">2.1.
		The call parameters	7</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635947"><span lang="en-US">2.2.
		Error handling and return values	7</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635948"><span lang="en-US">2.3.
		Bodies ( int ipl )	8</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635949"><span lang="en-US">Additional
		asteroids	8</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635950"><span lang="en-US">Fictitious
		planets	11</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635951"><span lang="en-US">Obliquity
		and nutation	13</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635952"><span lang="en-US">2.4.
		Options chosen by flag bits (long  iflag)	13</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635953"><span lang="en-US">2.4.1.
		The use of flag bits	13</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635954"><span lang="en-US">2.4.2.
		Ephemeris flags	13</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635955"><span lang="en-US">2.4.3.
		Speed flag	14</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635956"><span lang="en-US">2.4.4.
		Coordinate systems, degrees and radians	14</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365635957"><span lang="en-US">2.4.5.
		Specialties (going beyond common interest)	14</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635958"><span lang="en-US">a.
		True or apparent positions	14</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635959"><span lang="en-US">b.
		Topocentric positions	14</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635960"><span lang="en-US">c.
		Heliocentric positions	14</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635961"><span lang="en-US">d.
		Barycentric positions	14</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635962"><span lang="en-US">e.
		Astrometric positions	15</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635963"><span lang="en-US">f.
		True or mean equinox of date	15</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635964"><span lang="en-US">g.
		J2000 positions and positions referred to other equinoxes	15</span></a></font></font></font></p>
		<p style="margin-left: 0.56in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635965"><span lang="en-US">h.
		Sidereal positions	15</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635966"><span lang="en-US">2.5.
		Position and Speed (double xx[6])	15</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635967"><span lang="en-US">3.
		The function swe_get_planet_name()	15</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635968"><span lang="en-US">4.
		Fixed stars functions	16</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635969"><span lang="en-US">4.1
		swe_fixstar_ut	16</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635970"><span lang="en-US">4.2
		swe_fixstar()	16</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635971"><span lang="en-US">4.3
		swe_fixstar_mag()	17</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635972"><span lang="en-US">5.
		Apsides functions	17</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635973"><span lang="en-US">5.1
		swe_nod_aps_ut	17</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635974"><span lang="en-US">5.2
		swe_nod_aps()	17</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635975"><span lang="en-US">6.
		Eclipse and planetary phenomena functions	19</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635976"><span lang="en-GB">6.0.
		Example of a typical eclipse calculation</span><span lang="en-US">	19</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635977"><span lang="en-US">6.1.
		swe_sol_eclipse_when_loc() and swe_lun_occult_when_loc()	20</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635978"><span lang="en-US">6.2.
		swe_sol_eclipse_when_glob()	20</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635979"><span lang="en-US">6.3.
		swe_sol_eclipse_how ()	21</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635980"><span lang="en-US">6.4.
		swe_sol_eclipse_where ()	22</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635981"><span lang="en-US">6.5.
		swe_lun_occult_when_loc()	23</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635982"><span lang="en-US">6.6.
		swe_lun_occult_when_glob()	24</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635983"><span lang="en-US">6.7.
		swe_lun_occult_where ()	25</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635984"><span lang="en-US">6.8.
		swe_lun_eclipse_when ()	26</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635985"><span lang="en-US">6.9.
		swe_lun_eclipse_how ()	26</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635986"><span lang="en-US">6.10.
		swe_rise_trans() and swe_rise_trans_true_hor() (risings, settings,
		meridian transits)	27</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635987"><span lang="en-US">6.11.
		swe_pheno_ut() and swe_pheno(), planetary phenomena	28</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635988"><span lang="en-US">6.12.
		swe_azalt(), horizontal coordinates, azimuth, altitude	28</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635989"><span lang="en-US">6.13.
		swe_azalt_rev()	29</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635990"><span lang="en-US">6.14.
		swe_refrac(), swe_refract_extended(), refraction	29</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635991"><span lang="en-US">6.15.
		Heliacal risings etc.: swe_heliacal_ut()	30</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635992"><span lang="en-US">6.16.
		Magnitude limit for visibility: swe_vis_limit_mag()	31</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635993"><span lang="en-US">7.
		Date and time conversion functions	31</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635994"><span lang="en-US">7.1
		Calendar Date and Julian Day: swe_julday(), swe_date_conversion(),
		/swe_revjul()	31</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635995"><span lang="en-US">7.2.
		UTC and Julian day: swe_utc_time_zone(), swe_utc_to_jd(),
		swe_jdet_to_utc(), swe_jdut1_to_utc()	32</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635996"><span lang="en-US">7.3.
		Future insertion of leap seconds and the file swe_leapsec.txt	34</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635997"><span lang="en-US">7.4.
		Mean solar time versus True solar time: swe_time_equ()	34</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365635998"><span lang="en-US">8.
		Delta T-related functions	34</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365635999"><span lang="en-US">8.1
		swe_deltat()	34</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636000"><span lang="en-US">8.2
		swe_set_tid_acc(), swe_get_tid_acc()	35</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636001"><span lang="en-US">8.3.
		Future updates of Delta T and the file swe_deltat.txt	35</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636002"><span lang="en-US">9.
		The function swe_set_topo() for topocentric planet positions	35</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636003"><span lang="fr-FR">10.
		Sidereal mode functions</span><span lang="en-US">	35</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636004"><span lang="fr-FR">10.1.
		swe_set_sid_mode()</span><span lang="en-US">	35</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636005"><span lang="en-US">10.2.
		swe_get_ayanamsa_ut() and swe_get_ayanamsa()	37</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636006"><span lang="en-US">11.
		The Ephemeris file related functions	37</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636007"><span lang="en-US">11.1
		swe_set_ephe_path()	37</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636008"><span lang="en-US">11.2
		swe_close()	38</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636009"><span lang="en-US">11.3
		swe_set_jpl_file()	38</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636010"><span lang="en-US">11.4
		swe_version()	38</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636011"><span lang="en-US">12.
		House cusp calculation	39</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636012"><span lang="en-US">12.1
		swe_houses()	39</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636013"><span lang="en-US">12.2
		swe_houses_armc()	39</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636014"><span lang="en-US">12.3
		swe_houses_ex()	39</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636015"><span lang="en-US">12.4
		swe_house_name()	39</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636016"><span lang="en-US">13.
		The sign of geographical longitudes in Swisseph functions	41</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636017"><span lang="en-US">14.
		Getting the house position of a planet with swe_house_pos()	41</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636018"><span lang="en-US">14.1.
		Calculating the Gauquelin sector position of a planet with
		swe_house_pos() or swe_gauquelin_sector()	42</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636019"><span lang="en-US">15.
		Sidereal time with swe_sidtime() and swe_sidtime0()	43</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636020"><span lang="en-US">16.
		Summary of SWISSEPH functions	44</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636021"><span lang="en-US">16.1.
		Calculation of planets and stars	44</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636022"><span lang="en-US">Planets,
		moon, asteroids, lunar nodes, apogees, fictitious bodies	44</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636023"><span lang="en-US">Fixed
		stars	44</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636024"><span lang="en-US">Set
		the geographic location for topocentric planet computation	44</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636025"><span lang="en-US">Set
		the sidereal mode for sidereal planet positions	44</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636026"><span lang="en-US">16.2
		Eclipses and planetary phenomena	45</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636027"><span lang="en-US">Find
		the next eclipse for a given geographic position	45</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636028"><span lang="en-US">Find
		the next eclipse globally	45</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636029"><span lang="en-US">Compute
		the attributes of a solar eclipse for a given tjd, geographic
		long., latit. and height	45</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636030"><span lang="en-US">Find
		out the geographic position where a central eclipse is central or a
		non-central one maximal	45</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636031"><span lang="en-US">Find
		the next occultation of a body by the moon for a given geographic
		position	46</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636032"><span lang="en-US">Find
		the next occultation globally	46</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636033"><span lang="en-US">Find
		the next lunar eclipse	46</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636034"><span lang="en-US">Compute
		the attributes of a lunar eclipse at a given time	46</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636035"><span lang="en-US">Compute
		risings, settings and meridian transits of a body	46</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636036"><span lang="en-US">Compute
		planetary phenomena	47</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636037"><span lang="en-US">16.3.
		Date and time conversion	47</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636038"><span lang="en-US">Delta
		T from Julian day number	47</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636039"><span lang="en-US">Julian
		day number from year, month, day, hour, with check whether date is
		legal	48</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636040"><span lang="en-US">Julian
		day number from year, month, day, hour	48</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636041"><span lang="en-US">Year,
		month, day, hour from Julian day number	48</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636042"><span lang="en-US">Local
		time to UTC and UTC to local time	48</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636043"><span lang="en-US">UTC
		to jd (TT and UT1)	48</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636044"><span lang="en-US">TT
		(ET1) to UTC	49</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636045"><span lang="en-US">UTC
		to TT (ET1)	49</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636046"><span lang="en-US">Get
		tidal acceleration used in swe_deltat()	49</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636047"><span lang="en-US">Set
		tidal acceleration to be used in swe_deltat()	49</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636048"><span lang="en-US">Equation
		of time	49</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636049"><span lang="en-US">16.4.
		Initialization, setup, and closing functions	49</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636050"><span lang="en-US">Set
		directory path of ephemeris files	49</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636051"><span lang="en-US">16.5.
		House calculation	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636052"><span lang="en-US">Sidereal
		time	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636053"><span lang="en-US">Name
		of a house method	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636054"><span lang="en-US">House
		cusps, ascendant and MC	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636055"><span lang="en-US">Extended
		house function; to compute tropical or sidereal positions	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636056"><span lang="en-US">Get
		the house position of a celestial point	50</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636057"><span lang="en-US">Get
		the Gauquelin sector position for a body	51</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636058"><span lang="en-US">16.6.
		Auxiliary functions	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636059"><span lang="en-US">Coordinate
		transformation, from ecliptic to equator or vice-versa	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636060"><span lang="en-US">Coordinate
		transformation of position and speed, from ecliptic to equator or
		vice-versa	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636061"><span lang="en-US">Get
		the name of a planet	52</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636062"><span lang="en-US">16.7.
		Other functions that may be useful	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636063"><span lang="en-US">Normalize
		argument into interval [0..DEG360]	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636064"><span lang="en-US">Distance
		in centisecs p1 - p2 normalized to [0..360]	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636065"><span lang="en-US">Distance
		in degrees	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636066"><span lang="en-US">Distance
		in centisecs p1 - p2 normalized to [-180..180]	52</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636067"><span lang="en-US">Distance
		in degrees	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636068"><span lang="en-US">Round
		second, but at 29.5959 always down	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636069"><span lang="en-US">Double
		to long with rounding, no overflow check	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636070"><span lang="en-US">Day
		of week	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636071"><span lang="en-US">Centiseconds
		-&gt; time string	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636072"><span lang="en-US">Centiseconds
		-&gt; longitude or latitude string	53</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636073"><span lang="en-US">Centiseconds
		-&gt; degrees string	53</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636074"><span lang="en-US">17.
		The SWISSEPH DLLs	53</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636075"><span lang="en-US">17.1
		DLL Interface for brain damaged compilers	53</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636076"><span lang="en-US">18.
		Using the DLL with  Visual Basic 5.0	54</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636077"><span lang="en-US">19.
		Using the DLL with  Borland Delphi and C++ Builder	54</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636078"><span lang="en-US">19.1
		Delphi 2.0 and higher (32-bit)	54</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636079"><span lang="en-US">19.2
		Borland C++ Builder	55</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636080"><span lang="en-US">20.
		Using the Swiss Ephemeris with Perl	55</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636081"><span lang="en-US">21.
		The C sample program	56</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636082"><span lang="en-US">21.
		The source code distribution	57</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636083"><span lang="en-US">22.
		The PLACALC compatibility API	57</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636084"><span lang="en-US">23.
		Documentation files	58</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636085"><span lang="en-US">24.
		Swisseph with different hardware and compilers	58</span></a></b></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636086"><span lang="en-US">25.
		Debugging and Tracing Swisseph	58</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636087"><span lang="en-US">25.1.
		If you are using the DLL	58</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636088"><span lang="en-US">25.2
		If you are using the source code	59</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636089"><span lang="en-US">Appendix	59</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636090"><span lang="en-US">Update
		and release history	59</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636091"><span lang="en-US">Changes
		from version 1.79 to 1.80	61</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636092"><span lang="en-US">Changes
		from version 1.78 to 1.79	61</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636093"><span lang="en-US">Changes
		from version 1.77 to 1.78	61</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636094"><span lang="en-US">Changes
		from version 1.76 to 1.77	62</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636095"><span lang="en-US">Changes
		from version 1.75 to 1.76	62</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636096"><span lang="en-US">Changes
		from version 1.74 to version 1.75	62</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636097"><span lang="en-US">Changes
		from version 1.73 to version 1.74	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636098"><span lang="en-US">Changes
		from version 1.72 to version 1.73	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636099"><span lang="en-US">Changes
		from version 1.71 to version 1.72	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636100"><span lang="en-US">Changes
		from version 1.70.03 to version 1.71	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636101"><span lang="en-US">Changes
		from version 1.70.02 to version 1.70.03	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636102"><span lang="en-US">Changes
		from version 1.70.01 to version 1.70.02	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636103"><span lang="en-US">Changes
		from version 1.70.00 to version 1.70.01	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636104"><span lang="en-US">Changes
		from version 1.67 to version 1.70	63</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636105"><span lang="en-US">Changes
		from version 1.66 to version 1.67	64</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636106"><span lang="en-US">Changes
		from version 1.65 to version 1.66	64</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636107"><span lang="en-US">Changes
		from version 1.64.01 to version 1.65.00	64</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636108"><span lang="en-US">Changes
		from version 1.64 to version 1.64.01	64</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636109"><span lang="en-US">Changes
		from version 1.63 to version 1.64	64</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636110"><span lang="en-US">Changes
		from version 1.62 to version 1.63	65</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636111"><span lang="en-US">Changes
		from version 1.61.03 to version 1.62	65</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636112"><span lang="en-US">Changes
		from version 1.61 to 1.61.01	65</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636113"><span lang="en-US">Changes
		from version 1.60 to 1.61	65</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636114"><span lang="en-US">Changes
		from version 1.51 to 1.60	65</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636115"><span lang="en-US">Changes
		from version 1.50 to 1.51	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636116"><span lang="en-US">Changes
		from version 1.40 to 1.50	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636117"><span lang="en-US">Changes
		from version 1.31 to 1.40	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636118"><span lang="en-US">Changes
		from version 1.30 to 1.31	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636119"><span lang="en-US">Changes
		from version 1.27 to 1.30	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636120"><span lang="en-US">Changes
		from version 1.26 to 1.27	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636121"><span lang="en-US">Changes
		from version 1.25 to 1.26	66</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636122"><span lang="en-US">Changes
		from version 1.22 to 1.23	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636123"><span lang="en-US">Changes
		from version 1.21 to 1.22	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636124"><span lang="en-US">Changes
		from version 1.20 to 1.21	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636125"><span lang="en-US">Changes
		from version 1.11 to 1.20	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636126"><span lang="en-US">Changes
		from version 1.10 to 1.11	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636127"><span lang="en-US">Changes
		from version 1.04 to 1.10	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636128"><span lang="en-US">Changes
		from Version 1.03 to 1.04	67</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636129"><span lang="en-US">Changes
		from Version 1.02 to 1.03	68</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636130"><span lang="en-US">Changes
		from Version 1.01 to 1.02	68</span></a></font></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636131"><span lang="en-US">Changes
		from Version 1.00  to 1.01	68</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636132"><span lang="en-US">1.
		Sidereal time	68</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636133"><span lang="en-US">2.
		Houses	68</span></a></font></font></font></p>
		<p style="margin-left: 0.42in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt"><a class="western" href="#__RefHeading___Toc365636134"><span lang="en-US">3.
		Ecliptic obliquity and nutation	68</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636135"><span lang="en-US">Appendix
		A	69</span></a></b></font></font></p>
		<p style="margin-left: 0.28in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><a class="western" href="#__RefHeading___Toc365636136"><span lang="en-US">What
		is missing ?	69</span></a></font></font></font></p>
		<p style="margin-left: 0.14in; margin-top: 0.08in"><font color="#000080"><font face="Verdana, sans-serif"><b><a class="western" href="#__RefHeading___Toc365636137"><span lang="en-US">Index	70</span></a></b></font></font></p>
	</div>
	<p style="margin-left: 0.14in; margin-top: 0.08in"><br/>

	</p>
</div>
<div id="Section2" dir="ltr">
	<p lang="de-DE" class="western"><br/>

	</p>
	<ol>
		<ol>
			<li/>
<h2 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365635944"></a><a name="c1"></a>
			1. The programming steps to get a planet&rsquo;s position</h2>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><a name="_Hlk477829414"></a><a name="OLE_LINK2"></a><a name="_Hlk477409073"></a>
	To compute a celestial body or point with SWISSEPH, you have to do
	the following steps (use<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">
	swetest.c</span></span></font></font></font> as an example). The
	details of the functions will be explained in the following
	chapters.</p>
	<p class="western"><br/>

	</p>
	<p class="western">1. 	Set the directory path of the ephemeris
	files, e.g.: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<b>swe_set_ephe_path</b>(&rdquo;C:\\SWEPH\\EPHE&rdquo;);</font></font></font></p>
	<p><br/>

	</p>
	<p class="western">2.&#61486;	From the birth date, compute the
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">Julian
	day number</span></span></font></font></font><u>:</u></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	jul_day_UT
	= <b>swe_julday</b>(year, month, day, hour, gregflag);</font></font></font></p>
	<p><br/>

	</p>
	<p class="western">3&#61486;.	Compute a planet or other bodies:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">ret_flag
	= </span><span lang="da-DK"><b>swe_calc_ut</b></span><span lang="da-DK">(jul_day_UT,
	planet_no, flag, lon_lat_rad, err_msg); </span></font></font></font>
	</p>
	<p class="western"><span lang="da-DK">	</span>or a fixed star:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">ret_flag
	= </span><span lang="da-DK"><b>swe_fixstar_ut</b></span><span lang="da-DK">(star_nam,
	jul_day_UT, flag, lon_lat_rad, err_msg);</span></font></font></font></p>
	<p lang="da-DK"><br/>

	</p>
	<p class="western"><span lang="da-DK">	</span><font size="1" style="font-size: 8pt">Note:</font></p>
	<p class="western"><font size="1" style="font-size: 8pt">	The
	functions swe_calc_ut() and swe_fixstar_ut() were introduced with
	Swisseph version 1.60.</font></p>
	<p class="western"><font size="1" style="font-size: 8pt">	If you use
	a Swisseph version older than 1.60 or if you want to work with
	</font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font size="1" style="font-size: 8pt"><span lang="en-US">Ephemeris
	Time</span></font></span></font></font></font><font size="1" style="font-size: 8pt">,
	you have to proceed as follows instead:</font></p>
	<p class="western"><br/>

	</p>
	<p class="western"><font face="Symbol, serif"><font size="1" style="font-size: 8pt">	</font></font><font size="1" style="font-size: 8pt">First,
	if necessary, convert Universal Time (UT) to Ephemeris Time (ET):</font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">jul_day_ET
	= jul_day_UT + </span><span lang="da-DK"><b>swe_deltat</b></span><span lang="da-DK">(jul_day_UT);</span></font></font></font></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p class="western"><font size="1" style="font-size: 8pt"><span lang="da-DK">	</span></font><font size="1" style="font-size: 8pt">Then
	Compute a planet or other bodies:</font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">ret_flag
	= </span><span lang="da-DK"><b>swe_calc</b></span><span lang="da-DK">(jul_day_ET,
	planet_no, flag, lon_lat_rad, err_msg); </span></font></font></font>
	</p>
	<p class="western"><font size="1" style="font-size: 8pt"><span lang="da-DK">	</span></font><font size="1" style="font-size: 8pt">or
	a fixed star:</font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">ret_flag
	= </span><span lang="da-DK"><b>swe_fixstar</b></span><span lang="da-DK">(star_nam,
	jul_day_ET, flag, lon_lat_rad, err_msg);</span></font></font></font></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p class="western">5.&#61486;	At the end of your computations close
	all files and free memory calling <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_close();</span></span></font></font></font></p>
	<p><br/>

	</p>
	<p style="text-indent: 0.49in"><font color="#000080">Here is a
	miniature sample program, it is in the source distribution as
	</font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swemini.c</span></span></font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#include
	&quot;swephexp.h&quot; 	/* this includes  &quot;sweodef.h&quot; */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	main()</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">{</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*sp, sdate[AS_MAXCH], snam[40], serr[AS_MAXCH];  </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	jday = 1, jmon = 1, jyear = 2000;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	jut = 0.0;</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, te, x2[6];</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">long
	iflag, iflgret;</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	p;</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	= SEFLG_SPEED;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">while
	(TRUE) {</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">printf(&quot;\nDate
	(d.m.y) ?&quot;);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">gets(sdate);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		/*
	stop if a period . is entered */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(*sdate == '.') </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">return
	OK;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(sscanf (sdate, &quot;%d%*c%d%*c%d&quot;, &amp;jday,&amp;jmon,&amp;jyear)
	&lt; 1) exit(1);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	   /*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    * we have day, month and year and convert to Julian day number</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_ut
	= swe_julday(jyear,jmon,jday,jut,SE_GREG_CAL);        </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	   /*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    * compute Ephemeris time from Universal time by adding delta_t</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    * not required for Swisseph versions smaller than 1.60</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	      <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	te = tjd_ut + swe_deltat(tjd_ut); */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">printf(&quot;date:
	%02d.%02d.%d at 0:00 Universal time\n&quot;, jday, jmon, jyear);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">printf(&quot;planet
	    \tlongitude\tlatitude\tdistance\tspeed long.\n&quot;);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	   /*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    * a loop over all planets</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">for
	(p = SE_SUN; p &lt;= SE_CHIRON; p++) {</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(p == SE_EARTH) continue;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		/*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		
	* do the coordinate calculation for this planet p</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		
	*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflgret
	= swe_calc_ut(tjd_ut, p, iflag, x2, serr);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	Swisseph versions older than 1.60 require the following </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	statement instead */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	iflgret = swe_calc(te, p, iflag, x2, serr); */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	     /*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      * if there is a problem, a negative value is returned and an </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      * error message is in serr.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(iflgret &lt; 0) </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="pt-BR">printf(&quot;error:
	%s\n&quot;, serr);</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="pt-BR">	
	     </span>/*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      * get the name of the planet p</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_get_planet_name(p,
	snam);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	     /*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      * print the coordinates</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	      */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">printf(&quot;%10s\t%11.7f\t%10.7f\t%10.7f\t%10.7f\n&quot;,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	    snam, x2[0], x2[1], x2[2], x2[3]);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">return
	OK;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}</font></font></font></p>
	<ol>
		<ol start="2">
			<li/>
<h2 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365635945"></a><a name="_Hlk477399311"></a>
			2. The functions swe_calc_ut() and swe_calc()</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635946"></a>
				2.1. The call parameters</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut()</span></span></font></font></font>
	was introduced with Swisseph <b>version 1.60</b> and makes planetary
	calculations a bit simpler. For the steps required, see the chapter 
	<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#__RefHeading___Toc476664303">The
	programming steps to get a planet&rsquo;s position</a></u></font></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">.</span></span></font></font></font></p>
	<p class="western"><a name="_Hlk477831317"></a><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut()</span></span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc()</span></span></font></font></font>
	work exactly the same way except that <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc()</span></span></font></font></font>
	requires <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477830987">Ephemeris
	Time</a></u></font></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">
	</span></span></font></font></font>( more accurate: <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">Dynamical
	Time</span></span></font></font></font> ) as a parameter whereas
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut()</span></span></font></font></font>
	expects <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">Universal
	Time</span></span></font></font></font>. For common astrological
	calculations, you will only need <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut()</span></span></font></font></font>
	and will not have to think anymore about the conversion between
	Universal Time and Ephemeris Time.</p>
	<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut()</span></span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc()</span></span></font></font></font>
	compute positions of planets, asteroids, lunar nodes and apogees.
	They are defined as follows:</p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><a name="_Hlk477319384"></a>
	<br/>

	</p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><a name="_Hlk477412409"></a><a name="_Hlk477830210"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_calc_ut</b> ( double <font color="#0000ff">tjd_ut</font>, int
	<font color="#0000ff">ipl</font>, int <font color="#0000ff">iflag</font>,
	double* <font color="#0000ff">xx</font>, char* <font color="#0000ff">serr</font>),</font></font></font></p>
	<p class="western"><a name="F_Ref401629455"></a>where</p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_ut	=<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477330118">Julian
	day</a></u></font></font></font>, Universal Time</font></font></font></p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ipl	=body
	number</font></font></font></p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag	=a
	32 bit integer containing bit flags that indicate what kind of
	computation is wanted</font></font></font></p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xx
		=array of 6 doubles for longitude, latitude, distance, speed in
	long., speed in lat., and speed in dist.</font></font></font></p>
	<p style="margin-left: 0.56in; text-indent: -0.44in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">serr[256]
	=character string to return error messages in case of error.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p class="western">and</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477320293"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_calc</b>(double tjd_et, int ipl, int iflag, double *xx, char
	*serr),</font></font></font></p>
	<p class="western">same but</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_et	=	Julian
	day, Ephemeris time,  where tjd_et = tjd_ut + swe_deltat(tjd_ut)</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">A detailed description of these
	variables will be given in the following sections.</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635947"></a><a name="_Hlk477831517"></a>
				2.2. Error handling and return values</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477831658"></a>On
	success, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc</span></span></font></font></font>
	( or <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc_ut</span></span></font></font></font><b>
	</b>)<i> </i>returns a 32-bit integer containing flag bits that
	indicate what kind of computation has been done. This value may or
	may not be equal to<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>.
	If an option specified by<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>
	cannot be fulfilled or makes no sense, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc</span></span></font></font></font>
	just does what can be done. E.g., if you specify that you want JPL
	ephemeris, but<b> </b><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc</span></span></font></font></font><i>
	</i>cannot find the ephemeris file, it tries to do the computation
	with any available ephemeris. This will be indicated in the return
	value of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc</span></span></font></font></font>.
	So, to make sure that <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc
	()</span></span></font></font></font> did exactly what you had
	wanted, you may want to check whether or not the return code <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>==
	iflag</b></font></font>.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477831866"></a>However,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swe_calc()</span></span></font></font></font>
	might return an <font color="#800000"><b>fatal error code (&lt; 0)</b></font>
	and an error string in one of the following cases:</p>
	<p style="margin-left: 0.25in; text-indent: -0.25in"><br/>

	</p>
	<ul>
		<li/>
<p>if an illegal <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477832010">body
		number</a></u></font></font></font> has been specified</p>
		<li/>
<p>if a Julian day beyond the ephemeris limits has been
		specified</p>
		<li/>
<p>if the length of the ephemeris file is not correct
		(damaged file)</p>
		<li/>
<p>on read error, e.g. a file index points to a position
		beyond file length ( data on file are corrupt )</p>
		<li/>
<p>if the copyright section in the ephemeris file has been
		destroyed.</p>
	</ul>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">If any of these errors occurs,</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ul>
		<li/>
<p>the return code of the function is -1,</p>
		<li/>
<p>the position and speed variables are set to zero, 
		</p>
		<li/>
<p>the type of error is indicated in the error string <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>serr</b></font></font><b>.</b></p>
	</ul>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365635948"></a><a name="F_Ref401634330"></a><a name="_Hlk477320729"></a>
				2.3. Bodies ( int ipl )</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477832010"></a>To tell<b>
	swe_calc()</b><i> </i>which celestial body or factor should be
	computed, a fixed set of body numbers is used. The body numbers are
	defined in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><span lang="en-US">swephexp.h:</span></span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	planet numbers for the ipl parameter in swe_calc() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_NUT	-1      </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SUN          	0       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MOON         	1       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MERCURY      	2       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_VENUS        	3       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MARS         	4       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_JUPITER      	5       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SATURN       	6       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_URANUS       	7       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NEPTUNE      	8       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_PLUTO        	9       </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MEAN_NODE    	10      </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_TRUE_NODE    	11</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MEAN_APOG    	12      </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_OSCU_APOG    	13    </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_EARTH        	14 </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CHIRON       	15 </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_PHOLUS       	16 </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CERES        	17 </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_PALLAS       	18 </font></font></font>
	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_JUNO         	19</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_VESTA        	20</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_INTP_APOG        	21</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_INTP_PERG        	22</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NPLANETS        	23</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_FICT_OFFSET  	40</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NFICT_ELEM           	15</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477832724"></a><a name="_Hlk477832209"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	Hamburger or Uranian &quot;planets&quot; */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CUPIDO       	40</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_HADES        	41</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ZEUS         	42</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_KRONOS       	43</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_APOLLON      	44</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ADMETOS      	45</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_VULKANUS     	46</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_POSEIDON     	47</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	other fictitious bodies */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ISIS         	48</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NIBIRU       	49</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_HARRINGTON      	50</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NEPTUNE_LEVERRIER 	51</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NEPTUNE_ADAMS    	52</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_PLUTO_LOWELL     	53</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_PLUTO_PICKERING   	54</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_AST_OFFSET	10000</font></font></font></p>
	<p><br/>

	</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635949"></a><a name="_Hlk477320798"></a>
					Additional asteroids</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p class="western">Body numbers of other asteroids are above
	<font color="#000080">SE_AST_OFFSET (=10000)</font> and have to be
	constructed as follows:</p>
	<p class="western"><font color="#000080">ipl = SE_AST_OFFSET +
	Minor_Planet_Catalogue_number;</font></p>
	<p class="western">e.g. Eros :  <font color="#000080">ipl =
	SE_AST_OFFSET +  433</font></p>
	<p class="western">The names of the asteroids and their catalogue
	numbers can be found in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt.
	</span></font></font></font>
	</p>
	<p class="western" style="page-break-before: always">Examples are:</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">5	Astraea	</font></font></font></p>
	<p lang="pt-BR" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">6	Hebe	</font></font></font></p>
	<p lang="pt-BR" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">7	Iris	</font></font></font></p>
	<p lang="pt-BR" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">8	Flora</font></font></font></p>
	<p lang="pt-BR" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">9	Metis</font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">10	Hygiea	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">30	Urania	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">42	Isis	not
	identical with &quot;Isis-Transpluto&quot;</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">153	Hilda	(has
	an own asteroid belt at 4 AU)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">227	Philosophia	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">251	Sophia	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">259	Aletheia	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">275	Sapientia	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">279	Thule	(asteroid
	close to Jupiter)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">375	Ursula	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">433	Eros	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">763	Cupido	different
	from Witte's Cupido</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">944	Hidalgo	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">1181	Lilith	(not
	identical with Dark Moon 'Lilith')</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">1221	Amor	</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">1387	Kama	</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">1388	Aphrodite	</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">1862	Apollo	(different
	from Witte's Apollon)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">3553	Damocles	highly
	eccentric orbit betw. Mars and Uranus</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">3753	Cruithne	(&quot;second
	moon&quot; of earth)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">4341	Poseidon	Greek
	Neptune (different from Witte's Poseidon)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">4464	Vulcano	fire
	god (different from Witte's Vulkanus and intramercurian Vulcan)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">5731	Zeus	Greek
	Jupiter (different from Witte's Zeus)</font></font></font></p>
	<p style="margin-left: 0.38in; text-indent: 0.03in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">7066	Nessus	third
	named Centaur (beween Saturn and Pluto)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There are two ephemeris files for
	each asteroid (except the main asteroids), a long one and a short
	one:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">se09999.se1	long-term
	ephemeris of asteroid number 9999, 3000 BC &ndash; 3000 AD</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">se09999s.se1	short
	ephemeris of asteroid number 9999, 1500 &ndash; 2100 AD</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p class="western">The larger file is about 10 times the size of the
	short ephemeris. If the user does not want an ephemeris for the time
	before 1500 he might prefer to work with the short files. If so,
	just copy the files ending with <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;s.se1&rdquo;</span></font></font></font>
	to your hard disk. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swe_calc()</span></font></font></font><i>
	</i>tries the long one and on failure automatically takes the short
	one.</p>
	<p>Asteroid ephemerides are looked for in the subdirectories <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast0,
	ast1, ast2 .. ast9 etc</span></font></font></font> of the ephemeris
	directory and, if not found there, in the ephemeris directory
	itself. Asteroids with numbers 0 &ndash; 999 are expected in
	directory <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast0</span></font></font></font>,
	those with numbers 1000 &ndash; 1999 in directory <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast1</span></font></font></font>
	etc. 
	</p>
	<p><br/>

	</p>
	<p style="margin-bottom: 0.08in"><a name="_Hlk477863570"></a><a name="_Hlk478116834"></a>
	<font color="#000000">Note that </font><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">
	not all asteroids </span></b></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000">
	can be computed</font></span></font></font></font><font color="#000000">
	for the whole period of Swiss Ephemeris. The orbits of some of </font>them
	are extremely sensitive to perturbations by major planets. E.g.
	<b>CHIRON</b>, cannot be computed for the time before <b>650 AD</b>
	and after <b>4650 AD</b> because of close encounters with Saturn.
	Outside this time range, Swiss Ephemeris returns the error code, an
	error message, and a position value 0. Be aware, that the user will
	<b>have to handle</b><i> </i>this case in his program. Computing
	Chiron transits for Jesus or Alexander the Great <font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">will
	not work</span></b></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#800000"><b>.</b></font></span></font></font></font></p>
	<p style="margin-bottom: 0.08in">The same is true for Pholus before
	<b>3850 BC</b>, and for many other asteroids, as e.g. 1862 Apollo.
	He becomes chaotic before the year <b>1870 AD</b>, when he
	approaches Venus very closely. Swiss Ephemeris does not provide
	positions of Apollo for earlier centuries !</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p class="western"><b>Note on asteroid names</b></p>
	<p style="margin-right: -0.02in">Asteroid names are listed in the
	file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt</span></font></font></font>.
	This file is in the ephemeris directory.</p>
	<p style="margin-right: -0.02in; page-break-before: always"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635950"></a><a name="_Hlk477320919"></a>
					Fictitious planets</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">Fictitious planets have numbers greater than or
	equal to 40. The user can define his or her own fictitious planets.
	The orbital elements of these planets must be written into the file
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seorbel.txt</span></font></font></font>.
	The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font><i>
	</i>looks for the file <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seorbel.txt</span></font></font></font>
	in the ephemeris path set by <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>.
	If no orbital elements file is found, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font><i>
	</i>uses the built-in orbital elements of the above mentioned
	<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477832724">Uranian
	planets </a></u></font></font></font>and some other bodies. The
	planet number of a fictitious planet is defined as 
	</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ipl
	= SE_FICT_OFFSET_1 + number_of_elements_set;</font></font></font></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p class="western"><span lang="da-DK">e.g. for Kronos: </span><font color="#000080"><span lang="da-DK">ipl
	= 39 + 4 = 43</span></font><span lang="da-DK">.</span></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p class="western">The file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seorbel.txt</span></font></font></font>
	has the following structure:</p>
	<p><br/>

	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Orbital elements of fictitious planets</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	27 Jan. 2000</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	This file is part of the Swiss Ephemeris, from Version 1.60 on.</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Warning! These planets do not exist!</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	The user can add his or her own elements.</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	960 is the maximum number of fictitious planets.</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	The elements order is as follows:</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	1. epoch of elements (Julian day)</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	2. equinox (Julian day or &quot;J1900&quot; or &quot;B1950&quot; or
	&quot;J2000&quot; or &ldquo;JDATE&rdquo;)</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	3. mean anomaly at epoch</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	4. semi-axis</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	5. eccentricity</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	6. argument of perihelion (ang. distance of perihelion from node)</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	7. ascending node</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	8. inclination</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	9. name of planet</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	use '#' for comments</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	to compute a body with swe_calc(), use planet number </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	ipl = SE_FICT_OFFSET_1 + number_of_elements_set,</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	e.g. number of Kronos is ipl = 39 + 4 = 43</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Witte/Sieggruen planets, refined by James Neely</font></font></p>
	<p lang="es-ES" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 163.7409, 40.99837, 0.00460, 171.4333, 129.8325, 1.0833,
	Cupido   # 1</font></font></p>
	<p lang="nl-NL" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900,  27.6496, 50.66744, 0.00245, 148.1796, 161.3339, 1.0500,
	Hades    # 2</font></font></p>
	<p lang="nl-NL" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 165.1232, 59.21436, 0.00120, 299.0440,   0.0000, 0.0000, Zeus
	    # 3</font></font></p>
	<p lang="es-ES" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 169.0193, 64.81960, 0.00305, 208.8801,   0.0000, 0.0000,
	Kronos   # 4</font></font></p>
	<p lang="es-ES" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 138.0533, 70.29949, 0.00000,   0.0000,   0.0000, 0.0000,
	Apollon  # 5</font></font></p>
	<p lang="pt-BR" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 351.3350, 73.62765, 0.00000,   0.0000,   0.0000, 0.0000,
	Admetos  # 6</font></font></p>
	<p lang="fi-FI" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900,  55.8983, 77.25568, 0.00000,   0.0000,   0.0000, 0.0000,
	Vulcanus # 7</font></font></p>
	<p lang="fi-FI" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,
	J1900, 165.5163, 83.66907, 0.00000,   0.0000,   0.0000, 0.0000,
	Poseidon # 8</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Isis-Transpluto; elements from &quot;Die Sterne&quot; 3/1952, p.
	70ff. </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Strubell does not give an equinox. 1945 is taken in order to </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	reproduce the as best as ASTRON ephemeris. (This is a strange </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	choice, though.)</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	The epoch according to Strubell is 1772.76. </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	1772 is a leap year!</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	The fraction is counted from 1 Jan. 1772</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2368547.66,
	2431456.5, 0.0, 77.775, 0.3, 0.7, 0, 0, Isis-Transpluto            
	# 9</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Nibiru, elements from Christian Woeltge, Hannover</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">1856113.380954,
	1856113.380954, 0.0, 234.8921, 0.981092, 103.966, -44.567, 158.708,
	Nibiru # 10</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Harrington, elements from Astronomical Journal 96(4), Oct. 1988 </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2374696.5,
	J2000, 0.0, 101.2, 0.411, 208.5, 275.4, 32.4, Harrington            
	# 11</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in">    <font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	according to W.G. Hoyt, &quot;Planets X and Pluto&quot;, Tucson
	1980, p. 63 </font></font>
	</p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2395662.5,
	2395662.5, 34.05, 36.15, 0.10761, 284.75, 0, 0, Leverrier (Neptune) 
	# 12</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2395662.5,
	2395662.5, 24.28, 37.25, 0.12062, 299.11, 0, 0, Adams (Neptune)     
	# 13</font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2425977.5,
	2425977.5, 281, 43.0, 0.202, 204.9, 0, 0, Lowell (Pluto)            
	# 14</font></font></p>
	<p lang="de-CH" style="border: 1px solid #000000; padding: 0.01in"><font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">2425977.5,
	2425977.5, 48.95, 55.1, 0.31, 280.1, 100, 15, Pickering (Pluto)     
	# 15</font></font></p>
	<p lang="de-CH" class="western" style="border: 1px solid #000000; padding: 0.01in">
	<font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J1900,JDATE,
	252.8987988 + 707550.7341 * T, 0.13744, 0.019,
	322.212069+1670.056*T, 47.787931-1670.056*T, 7.5, Vulcan # 16</font></font></p>
	<p class="western" style="border: 1px solid #000000; padding: 0.01in">
	<font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">#
	Selena/White Moon</font></font></p>
	<p class="western" style="border: 1px solid #000000; padding: 0.01in">
	<font face="Lucida Console, monospace"><font size="2" style="font-size: 9pt">J2000,JDATE,
	242.2205555, 0.05279142865925, 0.0, 0.0, 0.0, 0.0, Selena/White
	Moon, geo # 17</font></font></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p lang="da-DK" class="western">All orbital elements except epoch
	and equinox may have T  terms, where</p>
	<p lang="da-DK" class="western">T = (tjd &ndash; epoch) / 36525. 
	</p>
	<p lang="da-DK" class="western">(See, e.g., Vulcan, the second last
	elements set (not the &rdquo;Uranian&rdquo; Vulcanus but the
	intramercurian hypothetical planet Vulcan).) &rdquo;T * T&rdquo;,
	&rdquo;T2&rdquo;, &rdquo;T3&rdquo; are also allowed. 
	</p>
	<p lang="da-DK" class="western">The equinox can either be entered as
	a Julian day or as &rdquo;J1900&rdquo; or &rdquo;B1950&rdquo; or
	&rdquo;J2000&rdquo; or, if the equinox of date is required, as
	&rdquo;JDATE&rdquo;. If you use T terms, note that precession has to
	be taken into account with JDATE, whereas it has to be neglected
	with fixed equinoxes. 
	</p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p lang="da-DK" class="western">No T term is required with the mean
	anomaly, i.e. for the speed of the body, because our software can
	compute it from semi-axis and gravity. However, a mean anomaly T
	term had to be added with Vulcan because its speed is not in
	agreement with the laws of physics. In such cases, the software
	takes the speed given in the elements and does not compute it
	internally.</p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p lang="da-DK" class="western">From Version 1.62 on, the software
	also accepts orbital elements for fictitious bodies that move about
	the earth. As an example, study the last elements set in the excerpt
	of seorbel.txt above. After the name of the body, &rdquo;, geo&rdquo;
	has to be added.</p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p style="page-break-before: always"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635951"></a><a name="_Hlk477320958"></a>
					Obliquity and nutation</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><a name="_Hlk477832844"></a>A special body number
	SE_ECL_NUT is provided to compute the obliquity of the ecliptic and
	the nutation. Of course nutation is already added internally to the
	planetary coordinates by <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	but sometimes it will be needed as a separate value. 
	</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">iflgret
	= </span><span lang="fr-FR"><b>swe_calc</b></span><span lang="fr-FR">(tjd_et,
	SE_ECL_NUT, 0, x, serr);</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><i>x</i>
	is an array of 6 doubles as usual. They will be filled as follows:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">x[0]
	= true obliqutiy of the Ecliptic (includes nutation)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">x[1]
	= mean obliquity of the Ecliptic</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">x[2]
	= nutation in longitude</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">x[3]
	= nutation in obliquity</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">x[4]
	= x[5] = 0</font></font></font></p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635952"></a>
				2.4. Options chosen by flag bits<span style="font-weight: normal">
				(long  iflag)</span></h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635953"></a><a name="_Hlk477321208"></a>
					2.4.1. The use of flag bits</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">If no bits are set, i.e. if  <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag
	== 0</b></font></font>, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	computes what common astrological ephemerides (as available in book
	shops) supply, i.e. an <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833007">apparent</a></u></font></font></font>
	 body position in <b>geocentric</b> ecliptic polar coordinates (
	longitude, latitude, and distance) relative to the true<b> </b><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833149">equinox
	of the date</a></u></font></font></font>. 
	</p>
	<p style="margin-right: -0.02in">If the speed of the body is
	required, set <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	= SEFLG_SPEED</font></font></font></p>
	<p style="margin-right: -0.02in">For mathematical points as the mean
	lunar node and the mean apogee, there is no apparent position.
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swe_calc()</span></font></font></font><i>
	</i>returns true positions for these points.</p>
	<p style="margin-right: -0.02in">If you need another kind of
	computation, use the flags explained in the following paragraphs
	(c.f.<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swephexp.h</span></font></font></font>). Their names begin with
	&sbquo;<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_</font></font></font>&lsquo;.
	To combine them, you have to concatenate them (inclusive-or) as in
	the following example:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">iflag
	= SEFLG_SPEED | SEFLG_TRUEPOS;  (or: </span>iflag = SEFLG_SPEED +
	SEFLG_TRUEPOS;<span lang="da-DK">) // C</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">iflag
	= SEFLG_SPEED </span><span lang="da-DK"><b>or</b></span><span lang="da-DK">
	SEFLG_TRUEPOS;(or: </span>iflag = SEFLG_SPEED + SEFLG_TRUEPOS;<span lang="da-DK">)
	// Pascal</span></font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">With this value of<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	will compute true positions ( i.e. not accounted for light-time )
	with speed.</p>
	<p style="margin-right: -0.02in">The flag bits, which are defined in
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font>,
	are:</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_JPLEPH    	1L	// use JPL ephemeris </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_SWIEPH    	2L	// use SWISSEPH ephemeris, default</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_MOSEPH    	4L	// use Moshier ephemeris </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_HELCTR         	8L	// return heliocentric position </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_TRUEPOS 	16L	// return true positions, not apparent </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_J2000          	32L	// no precession, i.e. give J2000 equinox </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_NONUT          	64L	// no nutation, i.e. mean equinox of date </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_SPEED3         	128L	// speed from 3 positions (do not use it,
	SEFLG_SPEED is</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				//
	faster and preciser.) </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_SPEED          	256L	// high precision speed (analyt. comp.)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_NOGDEFL 	512L	// turn off gravitational deflection </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_NOABERR 	1024L	// turn off 'annual' aberration of light </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_EQUATORIAL	2048L	// equatorial positions are wanted </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_XYZ            	4096L	// cartesian, not polar, coordinates </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_RADIANS       	8192L	// coordinates in radians, not degrees </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_BARYCTR       	16384L	// barycentric positions </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_TOPOCTR 	(32*1024L)	// topocentric positions </font></font></font>
	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_SIDEREAL	(64*1024L)	// sidereal positions </font></font></font>
	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_ICRS	(128*1024L)	// ICRS (DE406 reference frame) </font></font></font>
	</p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635954"></a><a name="_Hlk477321234"></a>
					2.4.2. Ephemeris flags</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">The flags to choose an ephemeris
	are: (s. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font>)</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_JPLEPH
	          /* use JPL ephemeris */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_SWIEPH
	          /* use Swiss Ephemeris */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_MOSEPH
	          /* use Moshier ephemeris */</font></font></font></p>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">If none of this flags is specified,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	tries to compute the default ephemeris. The default ephemeris is
	defined in<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swephexp.h:</span></font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SEFLG_DEFAULTEPH SEFLG_SWIEPH</font></font></font></p>
	<p style="margin-right: -0.02in"><a name="_Hlk477833574"></a>In this
	case the default ephemeris is Swiss Ephemeris. If you have not
	specified an ephemeris in<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	tries to compute a Swiss Ephemeris position. If it does not find the
	required Swiss Ephemeris file either, it computes a Moshier
	position. 
	</p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635955"></a><a name="_Hlk477321274"></a>
					2.4.3. Speed flag</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swe_calc()</span></font></font></font><i>
	</i>does not compute speed if you do not add the speed flag
	SEFLG_SPEED. E.g. 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	|= SEFLG_SPEED; </font></font></font>
	</p>
	<p class="western">The computation of speed is usually cheap, so you
	may set this bit by default even if you do not need the speed.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635956"></a><a name="_Hlk477321265"></a>
					2.4.4. Coordinate systems, degrees and radians</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477833734"></a>SEFLG_EQUATORIAL		returns
	equatorial positions: rectascension and declination.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477833826"></a>SEFLG_XYZ			returns
	x, y, z coordinates instead of longitude, latitude, and distance.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477833841"></a>SEFLG_RADIANS
			returns position in radians, not degrees.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">E.g. to compute rectascension and
	declination, write:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	= SEFLG_SWIEPH | SEFLG_SPEED | SEFLG_EQUATORIAL;</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="5">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365635957"></a>
					2.4.5. Specialties (going beyond common interest)</h4>
					<ol>
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635958"></a><a name="_Hlk477321411"></a>
						a. True or apparent positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477833007"></a>Common
	ephemerides supply apparent geocentric positions. Since the journey
	of the light from a planet to the earth takes some time, the planets
	are never seen where they actually are, but where they were a few
	minutes or hours before. Astrology uses to work with the positions
	<b>we see</b>. ( More precisely: with the positions we would see, if
	we stood at the center of the earth and could see the sky. Actually,
	the geographical position of the observer could be of importance as
	well and <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833975">topocentric
	positions</a></u></font></font></font><i> </i>could be computed, but
	this is usually not taken into account in astrology.). The
	geocentric position for the earth (SE_EARTH) is returned as zero.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477834072"></a>To
	compute the <b>true</b><i> </i>geometrical position of a planet,
	disregarding light-time, you have to add the flag <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_TRUEPOS.</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="2">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635959"></a><a name="_Hlk477321643"></a>
						b. Topocentric positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477833975"></a>To
	compute topocentric positions, i.e. positions referred to the place
	of the observer (the birth place) rather than to the center of the
	earth, do as follows:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">call <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_topo</b></font></font></font><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(geo_lon,
		geo_lat, altitude_above_sea)</font></font></font>  (The longitude
		and latitude must be in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">degrees</span></font></font></font>,
		the altitude in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">meters</span></font></font></font>.)</p>
		<li/>
<p style="margin-right: -0.02in">add the flag <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_TOPOCTR</font></font></font>
		to<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font></p>
		<li/>
<p style="margin-right: -0.02in">call <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_calc(...)</font></font></font></p>
	</ul>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="3">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635960"></a><a name="_Hlk477321658"></a>
						c. Heliocentric positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">To compute a heliocentric position,
	add <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_HELCTR.</font></font></font></p>
	<p style="margin-right: -0.02in">A heliocentric position can be
	computed for all planets including the moon. For the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sun,
	lunar nodes</span></font></font></font> and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">lunar
	apogees</span></font></font></font> the coordinates are returned as
	zero; <b>no error message appears</b>.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="4">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635961"></a><a name="_Hlk477321673"></a>
						d. Barycentric positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_BARYCTR</font></font></font>
	yields coordinates as referred to the solar system barycenter.
	However, this option is not completely implemented.  It was used for
	program tests during development.  It works only with the JPL and
	the Swiss Ephemeris, <b>not with the Moshier</b> ephemeris; and <b>only
	with physical bodies</b>, but not with the nodes and the apogees.</p>
	<p style="margin-right: -0.02in">Moreover, the barycentric Sun of
	Swiss Ephemeris has &rdquo;only&rdquo; a precision of 0.1&rdquo;.
	Higher accuracy would have taken a lot of storage, on the other hand
	it is not needed for precise geocentric and heliocentric positions.
	For more precise barycentric positions the JPL ephemeris file should
	be used.</p>
	<p style="margin-right: -0.02in">A barycentric position can be
	computed <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">for
	all planets</span></font></font></font> including the sun and moon.
	For the lunar nodes and lunar apogees the coordinates are returned
	as zero; no error message appears.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="5">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635962"></a><a name="_Hlk477321696"></a>
						e. Astrometric positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">For astrometric positions, which
	are sometimes given in the Astronomical Almanac, the light-time
	correction is computed, but annual aberration and the
	light-deflection by the sun neglected. This can be done with
	SEFLG_NOABERR and SEFLG_NOGDEFL. For positions related to the mean
	equinox of 2000, you must set SEFLG_J2000 and SEFLG_NONUT, as well.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="6">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635963"></a><a name="_Hlk477321511"></a><a name="_Hlk477833149"></a>
						f. True or mean equinox of date</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swe_calc()</span></font></font></font>
	usually computes the positions as referred to the true equinox of
	the date ( i.e. with nutation ). If you want the mean equinox, you
	can turn nutation off, using the flag bit SEFLG_NONUT.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="7">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635964"></a><a name="_Hlk477321486"></a>
						g. J2000 positions and positions referred to other equinoxes</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swe_calc()</span></font></font></font>
	usually computes the positions as referred to the equinox of date.
	SEFLG_J2000 yields data referred to the equinox J2000. For positions
	referred to other equinoxes, SEFLG_SIDEREAL has to be set and the
	equinox specified by <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>.
	For more information, read the description of this function.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<ol start="8">
						<li/>
<h5 class="western"><a name="__RefHeading___Toc365635965"></a><a name="_Hlk477321473"></a>
						h. Sidereal positions</h5>
					</ol>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">To compute sidereal positions, set
	bit SEFLG_SIDEREAL and use the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>
	in order to define the <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha</b></font></font>
	you want. For more information, read the description of this
	function.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="5">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635966"></a><a name="_Hlk477325102"></a>
				2.5. Position and Speed <span style="font-weight: normal">(double
				xx[6])</span></h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font><i>
	</i>returns the coordinates of position and velocity in the
	following order:</p>
	<p><br/>

	</p>
	<table width="627" cellpadding="7" cellspacing="0">
		<col width="256">
		<col width="340">
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p class="western" align="center"><b>Ecliptic position</b></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p class="western" align="center"><b>Equatorial position (
				</b>SEFLG_EQUATORIAL<b> )</b></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Longitude</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Rectascension</font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Latitude</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Declination</font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Distance
				in AU</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">distance
				in AU</font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in longitude (deg/day)</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in rectascension (deg/day)</font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in latitude (deg/day)</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in declination (deg/day)</font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="256" style="border-top: 1px solid #000000; border-bottom: 1px solid #000000; border-left: 1px solid #000000; border-right: none; padding-top: 0in; padding-bottom: 0in; padding-left: 0.08in; padding-right: 0in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in distance (AU/day)</font></font></font></p>
			</td>
			<td width="340" style="border: 1px solid #000000; padding: 0in 0.08in">
				<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Speed
				in distance (AU/day)</font></font></font></p>
			</td>
		</tr>
	</table>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477324768"></a>If you
	need rectangular coordinates ( SEFLG_XYZ ), <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	returns <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">x,
	y, z, dx, dy, dz</span></font></font></font> in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">AU</span></font></font></font>.</p>
	<p style="margin-right: -0.02in">Once you have computed a planet,
	e.g., in ecliptic coordinates, its equatorial position or its
	rectangular coordinates are available, too.  You can get them very
	cheaply ( little CPU time used ), calling again <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font><i>
	</i>with the same parameters, but adding SEFLG_EQUATORIAL or
	SEFLG_XYZ to<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>
	iflag</b></font></font>.<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swe_calc()</span></font></font></font> will not compute the body
	again, just return the data specified from internal storage.</p>
	<p class="western"><a name="OLE_LINK1"></a><br/>

	</p>
	<ol>
		<ol start="3">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635967"></a>
			3. The function swe_get_planet_name()</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477834622"></a>This
	function allows to find a planetary or asteroid name, when the
	planet number is given. The function definition is 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477324852"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	<b>swe_get_planet_name</b>(int ipl, char *spname); </font></font></font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">If an asteroid name is wanted, the
	function does the following:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">The name is first looked for
		in the asteroid file. 
		</p>
		<li/>
<p style="margin-right: -0.02in">Because many asteroids,
		especially the ones with high catalogue numbers, have no names yet
		(or have only a preliminary designation like 1968 HB), and because
		the Minor Planet Center of the IAU add new names quite often, it
		happens that there is no name in the asteroid file although the
		asteroid has already been given a name. For this, we have the file
		<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt</span></font></font></font>,
		a file that contains a list of all named asteroid and is usually
		more up to date. If <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
		finds a preliminary designation, it looks for a name in this file. 
		</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt</span></font></font></font>
	can be updated by the user. To do this, download the names list from
	the Minor Planet Center
	<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="http://cfa-www.harvard.edu/iau/lists/MPNames.html">http://cfa-www.harvard.edu/iau/lists/MPNames.html</a></u></font></font></font>,
	rename it as <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt</span></font></font></font>
	and move it into your ephemeris directory.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">seasnam.txt</span></font></font></font>
	need not be ordered in any way. There must be one asteroid per line,
	first its catalogue number, then its name. The asteroid number may
	or may not be in brackets.</p>
	<p style="margin-right: -0.02in; page-break-before: always">Example:</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(3192)
	A'Hearn</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(3654)
	AAS</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(8721)
	AMOS</font></font></font></p>
	<p lang="nl-NL" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(3568)
	ASCII</font></font></font></p>
	<p lang="nl-NL" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(2848)
	ASP</font></font></font></p>
	<p lang="nl-NL" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(677)
	Aaltje</font></font></font></p>
	<p lang="nl-NL" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">...</font></font></font></p>
	<ol>
		<ol start="4">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635968"></a>
			4. Fixed stars functions</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635969"></a>
				4.1 swe_fixstar_ut</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar_ut()</span></font></font></font>
	was introduced with Swisseph <b>version 1.60</b>. It does exactly
	the same as <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>
	except that it expects Universal Time rather than Ephemeris time as
	an input value. (cf. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc_ut()</span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>)</p>
	<p style="margin-right: -0.02in">The functions <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar_ut()</span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font><i>
	</i>computes fixed stars. They are defined as follows:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477325162"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_fixstar_ut</b>(char* <font color="#0000ff">star</font>,
	double <font color="#0000ff">tjd_ut</font>, long <font color="#0000ff">iflag</font>,
	double* <font color="#0000ff">xx</font>, char* <font color="#0000ff">serr</font>);</font></font></font></p>
	<p class="western">where</p>
	<p style="margin-left: 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">star	=name
	of fixed star to be searched, returned name of found star</font></font></font></p>
	<p style="margin-left: 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_ut	=Julian
	day in Universal Time</font></font></font></p>
	<p style="margin-left: 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag	=an
	integer containing several flags that indicate what 	kind of
	computation is wanted</font></font></font></p>
	<p style="margin-left: 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xx	=array
	of 6 doubles for longitude, latitude, distance, speed in long.,
	speed in lat., and speed in dist.</font></font></font></p>
	<p style="margin-left: 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">serr[256]
	=character string to contain error messages in case of error.</font></font></font></p>
	<p><font color="#000080"> <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">For
	more info, see below under 4.2. swe_fixstar()</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635970"></a>
				4.2 swe_fixstar()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477325176"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_fixstar</b>(char *<font color="#0000ff">star</font>, double
	<font color="#0000ff">tjd_et</font>, long <font color="#0000ff">iflag</font>,
	double* <font color="#0000ff">xx</font>, char* <font color="#0000ff">serr</font>);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">same,
	but  tjd_et= Julian day in Ephemeris Time</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477835149"></a>The 
	parameter <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>star</b></font></font>
	must provide for at least 41 characters for the returned star name.
	If a star is found, its name is returned in this field in the
	following format:<br><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">traditional_name,
	nomenclature_name</span></font></font></font> <span lang="da-DK">e.g.
	</span><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&quot;Aldebaran,alTau&quot;</span></font></font></font><span lang="da-DK">.</span></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477835264"></a>The
	function has three modes to search for a star in the file<font face="Verdana, sans-serif">
	</font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font><font face="Verdana, sans-serif">:</font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>star</b></font></font>
		contains a positive number ( in ASCII string format, e.g.<font color="#000080">
		&quot;234&quot;</font>): The 234-<font size="2" style="font-size: 9pt">th</font>
		non-comment line in the file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font>
		is used. Comment lines begin with # and are ignored.</p>
		<li/>
<p style="margin-right: -0.02in"><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>star</b></font></font><b>
		</b>contains a traditional name: the first star in the file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		fixstars.cat</span></font></font></font> is used whose traditional
		name fits the given name. All names are mapped to lower case before
		comparison. If <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>star</b></font></font>
		has <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>n</b></font></font>
		characters, only the first <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>n</b></font></font>
		characters of the traditional name field are compared. If a comma
		appears after a non-zero-length traditional name, the traditional
		name is cut off at the comma before the search. This allows the
		reuse of the returned star name from a previous call in the next
		call.</p>
		<li/>
<p style="margin-right: -0.02in"><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>star</b></font></font><b>
		</b>begins with a comma, followed by a nomenclature name, e.g.
		<font color="#000080">&quot;,alTau&quot;</font>: the star with this
		name in the nomenclature field ( the second field ) is returned.
		Letter case is observed in the comparison for nomenclature names. 
		</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">For correct spelling of
	nomenclature names, see file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	fixstars.cat</span></font></font></font>. Nomenclature names are
	usually composed of a Greek letter and the name of a star
	constellation. The Greek letters were originally used to write
	numbers, therefore to number the stars of the constellation. The
	abbreviated nomenclature names we use in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font>
	are constructed from two lowercase letters for the Greek letter
	(e.g. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;al&rdquo;</span></font></font></font>
	for <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;alpha&rdquo;</span></font></font></font>)
	and three letters for the constellation (e.g. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;Tau&rdquo;</span></font></font></font>
	for <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;Tauri&rdquo;</span></font></font></font>).</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function and the DLL should
	survive damaged <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font>
	files which contain illegal data and star names exceeding the
	accepted length. Such fields are cut to acceptable length.</p>
	<p class="western">There are two special entries in the file
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat:</span></font></font></font></p>
	<p class="western"><br/>

	</p>
	<ul>
		<li/>
<p class="western">an entry for the Galactic Center, named
		<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&quot;Gal.
		Center&quot;</span></font></font></font> with one blank.</p>
		<li/>
<p class="western">a star named <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&quot;AA_page_B40&quot;</span></font></font></font>
		which is the star calculation sample of Astronomical Almanac  (our
		bible of the last two years), page B40.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">You may edit the star catalogue and
	move the stars you prefer to the top of the file. This will increase
	the speed of your computations. The search mode is linear through
	the whole star file for each call of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>.</p>
	<p style="margin-right: -0.02in">As for the explanation of the other
	parameters, see <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc().</span></font></font></font></p>
	<p style="margin-right: -0.02in">Barycentric positions are not
	implemented. The difference between geocentric and heliocentric fix
	star position is noticeable and arises from parallax and
	gravitational deflection. 
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477863706"></a><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">Attention:</span></b></font></font>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font><font color="#800000"><i><b>
	</b></i></font><font color="#800000"><b>does not compute speeds</b></font><font color="#800000">
	</font>of the fixed stars. If you need them, you have to compute
	them on your own, calling <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font><i>
	</i>for a second ( and third ) time.</p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635971"></a>
				4.3 swe_fixstar_mag()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_fixstar_mag</b>(char *<font color="#0000ff">star</font>,
	double* <font color="#0000ff">mag</font>, char* <font color="#0000ff">serr</font>);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Function calculates the magnitude
	of a fixed star. The function returns OK or ERR. The magnitude value
	is returned in the parameter <font color="#0000ff">mag</font>. 
	</p>
	<p style="margin-right: -0.02in">For the definition and use of the
	parameter <font color="#0000ff">star</font> see function
	swe_fixstar(). The parameter <font color="#0000ff">serr</font> and
	is, as usually, an error string pointer.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="5">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635972"></a>
			5. Apsides functions</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635973"></a>
				5.1 swe_nod_aps_ut</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477836016"></a>The
	functions <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_nod_aps_ut()</span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_nod_aps()</span></font></font></font>
	compute planetary nodes and apsides ( perihelia, aphelia, second
	focal points of the orbital ellipses ). Both functions do exactly
	the same except that they expect a different time parameter (cf.
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc_ut()</span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()
	</span></font></font></font>).</p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The definitions are: 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477325741"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_nod_aps_ut</b>(double <font color="#0000ff">tjd_ut</font>,
	int32 <font color="#0000ff">ip</font>l, int32 <font color="#0000ff">iflag</font>,
	int32 <font color="#0000ff">method</font>, double *<font color="#0000ff">xnasc</font>,
	double *<font color="#0000ff">xndsc</font>, double *<font color="#0000ff">xperi</font>,
	double *<font color="#0000ff">xaphe</font>, char *<font color="#0000ff">serr</font>);</font></font></font></p>
	<p>where</p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_ut	=Julian
	day in Universal Time</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ipl
		=planet number</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag	=same
	as with swe_calc_ut() and swe_fixstar_ut()</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">method	=another
	integer that specifies the calculation method, see explanations
	below</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xnasc	=array
	of 6 doubles for ascending node</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xndsc	=array
	of 6 doubles for descending node</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xperi	=array
	of 6 doubles for perihelion</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xaphe	=array
	of 6 doubles for aphelion</font></font></font></p>
	<p style="margin-left: 0.44in; text-indent: -0.04in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">serr[256]
		=character string to contain error messages in case of error.</font></font></font></p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635974"></a>
				5.2 swe_nod_aps()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477325759"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_nod_aps</b>(double tjd_et, int32 ipl, int32 iflag, int32
	method, double *xnasc, double *xndsc, double *xperi, double *xaphe,
	char *serr);</font></font></font></p>
	<p class="western">same, but</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_et	=	Julian
	day in Ephemeris Time</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The parameter <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>
	allows the same specifications as with the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc_ut()</span></font></font></font>.
	I.e., it contains the Ephemeris flag, the heliocentric, topocentric,
	speed, nutation flags etc. etc.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477836150"></a>The
	parameter <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>method</b></font></font>
	tells the function what kind of nodes or apsides are required:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NODBIT_MEAN		1</font></font></font></p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This is also the default. Mean
	nodes and apsides are calculated for the bodies that have them, i.e.
	for the Moon and the planets Mercury through Neptune, osculating
	ones for Pluto and the asteroids.</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NODBIT_OSCU		2</font></font></font></p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Osculating nodes and apsides are
	calculated for all bodies.</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NODBIT_OSCU_BAR	4</font></font></font></p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Osculating nodes and apsides are
	calculated for all bodies. With planets beyond Jupiter, they are
	computed from a barycentric ellipse. Cf. the explanations in<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swisseph.doc.</span></font></font></font></p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">If this bit is combined with
	SE_NODBIT_MEAN, mean values are given for the planets Mercury -
	Neptun.</p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NODBIT_FOPOINT	256</font></font></font></p>
	<p lang="ru-RU" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The second focal point of the
	orbital ellipse is computed and returned in the array of the
	aphelion. This bit can be combined with any other bit.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">It is not meaningful to compute
	mean oribital elements topocentrically. The concept of mean elements
	precludes consideration of any short term fluctuations in
	coordinates.</p>
	<p style="margin-right: -0.02in; page-break-before: always"><br/>

	</p>
	<ol>
		<ol start="6">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635975"></a>
			6. Eclipse and planetary phenomena functions</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There are the following functions
	for eclipse and occultation calculations. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Solar eclipses:</b></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_eclipse_when_loc(
		tjd...)</span></font></font></font> finds the next eclipse for a
		given geographic position.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_eclipse_when_glob(
		tjd...)</span></font></font></font> finds the next eclipse
		globally.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_eclipse_where()</span></font></font></font>
		computes the geographic location of a solar eclipse for a given
		tjd. 
		</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_eclipse_how()</span></font></font></font>
		computes attributes of a solar eclipse for a given <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">tjd</span></font></font></font>,
		geographic <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">longitude,
		latitude</span></font></font></font> and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">height</span></font></font></font>.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Occultations of planets by the
	moon:</b></p>
	<p style="margin-right: -0.02in">These functions can also be used
	for solar eclipses. But they are slightly less efficient.</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_lun_occult_when_loc(
		tjd...)</span></font></font></font> finds the next occultation for
		a body and a given geographic position.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_lun_occult_when_glob(
		tjd...)</span></font></font></font> finds the next occultation of a
		given body globally.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_lun_occult_where()</span></font></font></font>
		computes the geographic location of an occultation for a given tjd.
				</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Lunar eclipses:</b></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_lun_eclipse_when(tjd...)</span></font></font></font>
		finds the next lunar eclipse.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_lun_eclipse_how()
		</span></font></font></font>computes the attributes of a lunar
		eclipse for a given <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">tjd.</span></font></font></font></p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Risings, settings, and meridian
	transits of planets and stars:</b></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_rise_trans()</span></font></font></font></p>
		<li/>
<p style="margin-right: -0.02in">swe_rise_trans_true_hor( )
		returns rising and setting times for a local horizon with altitude
		!= 0</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Planetary phenomena:</b></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_pheno_ut()</span></font></font></font>
		and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_pheno()</span></font></font></font>
		compute phase angle, phase, elongation, apparent diameter, and
		apparent magnitude of the Sun, the Moon, all planets and asteroids.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 lang="en-GB" class="western"><a name="__RefHeading___Toc365635976"></a>
				6.0. Example of a typical eclipse calculation</h3>
			</ol>
		</ol>
	</ol>
	<p lang="en-GB" style="margin-right: -0.02in">Find the next total
	eclipse, calculate the geographical position where it is maximal and
	the four contacts for that position (for a detailed explanation of
	all eclipse functions see the next chapters):</p>
	<p lang="en-GB" style="margin-right: -0.02in"><br/>

	</p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tret[10], attr[20], geopos[10];</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	serr[255];</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	whicheph = 0; /* default ephemeris */ </font></font></font>
	</p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start = 2451545; /* Julian day number for 1 Jan 2000 */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype = SE_ECL_TOTAL &brvbar; SE_ECL_CENTRAL &brvbar;
	SE_ECL_NONCENTRAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	find next eclipse anywhere on earth */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eclflag
	= swe_sol_eclipse_when_glob(tjd_start, whicheph,  ifltype, tret, 0,
	serr);</font></font></font></p>
	<p lang="de-DE" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(eclflag == ERR)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">return
	ERR;</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	the time of the greatest eclipse has been returned in tret[0]; </font></font></font>
	</p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	now we can find geographical position of the eclipse maximum */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_start
	= tret[0];</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eclflag
	= swe_sol_eclipse_where(tjd_start, whicheph, geopos, attr, serr);</font></font></font></p>
	<p lang="de-DE" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(eclflag == ERR)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">return
	ERR;</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	the geographical position of the eclipse maximum is in geopos[0] and
	geopos[1];</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	now we can calculate the four contacts for this place. The start
	time is chosen</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	a day before the maximum eclipse: */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_start
	= tret[0] - 1;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eclflag
	= swe_sol_eclipse_when_loc(tjd_start, whicheph, geopos, tret, attr,
	0, serr);</font></font></font></p>
	<p lang="de-DE" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(eclflag == ERR)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">return
	ERR;</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	now tret[] contains the following values:</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	tret[0] = time of greatest eclipse (Julian day number)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	tret[1] = first contact</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	tret[2] = second contact</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	tret[3] = third contact</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	tret[4] = fourth contact */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635977"></a>
				6.1. swe_sol_eclipse_when_loc() and swe_lun_occult_when_loc()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477836581"></a>To find
	the next eclipse for a given geographic position, use
	swe_sol_eclipse_when_loc(). 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326105"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_when_loc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* 3 doubles for geo. lon, lat, height eastern longitude
	is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,  northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag	-1 (ERR) on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_ANNULAR or SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_VISIBLE,
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_MAX_VISIBLE,
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_1ST_VISIBLE,
	SE_ECL_2ND_VISIBLE</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_3ST_VISIBLE,
	SE_ECL_4ND_VISIBLE</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477836682"></a>
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[0]	time
	of maximum eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[1]	time
	of first contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[2]	time
	of second contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[3]	time
	of third contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[4]	time
	of forth contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[5]	time
	of sunrise between first and forth contact (not implemented so far)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[6]	time
	of sunset beween first and forth contact  (not implemented so far)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	fraction
	of solar diameter covered by moon;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			with
	total/annular eclipses, it results in magnitude acc. to IMCCE.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	ratio
	of lunar diameter to solar one</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]	fraction
	of solar disc covered by moon (obscuration)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]	diameter
	of core shadow in km</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of sun at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	elongation
	of moon in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">attr[8]
	     	  magnitude acc. to NASA;</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                      <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">=
	attr[0] for partial and attr[1] for annular and total eclipses</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[9]	saros
	series number	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[10]	saros
	series member number</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635978"></a>
				6.2. swe_sol_eclipse_when_glob()</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477836848"></a>To find
	the next eclipse globally: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326215"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_when_glob</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 	/* eclipse type wanted: SE_ECL_TOTAL etc. or 0, if any
	eclipse type */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This function requires the time
	parameter <i>tjd_start</i> in <i>Universal Time </i>and also yields
	the return values (<i>tret[]</i>) in UT.  For conversions between ET
	and UT, use the function swe_deltat().</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Note: An implementation of this
	function with parameters in Ephemeris Time would have been possible.
	The question when the next solar eclipse will happen anywhere on
	earth is independent of the rotational position of the earth and
	therefore independent of Delta T. However, the function is often
	used in combination with other eclipse functions (see example
	below), for which input and output in ET makes no sense, because
	they concern local circumstances of an eclipse and therefore <i>are
	</i>dependent on the rotational position of the earth. For this
	reason, UT has been chosen for the time parameters of all eclipse
	functions. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">ifltype specifies the eclipse type
	wanted. It can be a combination of the following bits (see
	swephexp.h): 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_CENTRAL		1</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_NONCENTRAL		2</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_TOTAL 			4</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_ANNULAR 		8</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_PARTIAL 		16</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL_ANNULAR_TOTAL	32</font></font></font></p>
	<p lang="en-GB" style="margin-right: -0.02in"><br/>

	</p>
	<p lang="en-GB" style="margin-right: -0.02in">Recommended values for
	ifltype:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">/*</span>
	search for any eclipse, no matter which type */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= 0;  </font></font></font>
	</p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search a total eclipse; note: non-central total eclipses are very
	rare */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_TOTAL &brvbar; SE_ECL_CENTRAL &brvbar; SE_ECL_NONCENTRAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search an annular eclipse */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_TOTAL &brvbar; SE_ECL_CENTRAL &brvbar; SE_ECL_NONCENTRAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search an annular-total (hybrid) eclipse */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype_
	= SE_ECL_ANNULAR_TOTAL &brvbar; SE_ECL_CENTRAL &brvbar;
	SE_ECL_NONCENTRAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search a partial eclipse */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_PARTIAL;</font></font></font></p>
	<p lang="en-GB" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">If
	your code does not work, please study the sample code in swetest.c.</span></b></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns: 
	</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag	-1 (ERR) on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_ANNULAR or SE_ECL_PARTIAL or SE_ECL_ANNULAR_TOTAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_NONCENTRAL</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[0]	time
	of maximum eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[1]	time,
	when eclipse takes place at local apparent noon</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[2]	time
	of eclipse begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[3]	time
	of eclipse end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[4]	time
	of totality begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[5]	time
	of totality end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[6]	time
	of center line begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[7]	time
	of center line end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[8]	time
	when annular-total eclipse becomes total not implemented so far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[9]	time
	when annular-total eclipse becomes annular again not implemented so
	far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#ff0000">	</font><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as tret[10] at least !</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635979"></a>
				6.3. swe_sol_eclipse_how ()</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837220"></a>To
	calculate the attributes of an eclipse for a given geographic
	position and time:</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326421"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_how</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos	/* geogr. longitude, latitude, height above sea</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
			 * eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag 	-1 (ERR) on error (e.g. if swe_calc() for sun or moon
	fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_ANNULAR or SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			0,
	if no eclipse is visible at geogr. position.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	fraction
	of solar diameter covered by moon;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			with
	total/annular eclipses, it results in magnitude acc. to IMCCE.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	ratio
	of lunar diameter to solar one</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]	fraction
	of solar disc covered by moon (obscuration)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]	diameter
	of core shadow in km</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of sun at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	elongation
	of moon in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">attr[8]
	     	  magnitude acc. to NASA;</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                      <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">=
	attr[0] for partial and attr[1] for annular and total eclipses</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[9]	saros
	series number	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[10]	saros
	series member number</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="5">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635980"></a>
				6.4. swe_sol_eclipse_where ()</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837360"></a>This
	function can be used to find out the geographic position, where, for
	a given time, a central eclipse is central or where a non-central
	eclipse is maximal. 
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837327"></a><a name="_Hlk477837444"></a>
	If you want to draw the eclipse path of a total or annular eclipse
	on a map, first compute the start and end time of the total or
	annular phase with <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_eclipse_when_glob()</span></font></font></font>,
	then <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">call
	swe_sol_eclipse_how()</span></font></font></font> for several time
	intervals to get geographic positions on the central path. The
	northern and southern limits of the umbra and penumbra are not
	implemented yet. 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326645"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_where </b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* return array, 2 doubles, geo. long. and lat.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in">The function returns:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	-1 (ERR)	on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">0		if
	there is no solar eclipse at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_ANNULAR</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL
	| SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL
	| SE_ECL_NONCENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_ANNULAR
	| SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">SE_ECL_ANNULAR
	| SE_ECL_NONCENTRAL</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 </font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[0]:	geographic
	longitude of central line</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[1]:	geographic
	latitude of central line</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">not
	implemented so far:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[2]:	geographic
	longitude of northern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[3]:	geographic
	latitude of northern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[4]:	geographic
	longitude of southern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[5]:	geographic
	latitude of southern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[6]:	geographic
	longitude of northern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[7]:	geographic
	latitude of northern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[8]:	geographic
	longitude of southern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[9]:	geographic
	latitude of southern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eastern
	longitudes are positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">western
	longitudes are negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">northern
	latitudes are positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">southern
	latitudes are negative</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	fraction
	of solar diameter covered by the moon</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	ratio
	of lunar diameter to solar one</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]	fraction
	of solar disc covered by moon (obscuration)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]	diameter
	of core shadow in km</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of sun at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	angular
	distance of moon from sun in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[8]			eclipse
	magnitude (= attr[0] or attr[1] depending on eclipse type)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[9]			saros
	series number	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[10]			saros
	series member number</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as attr[20]!</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="6">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635981"></a>
				6.5. swe_lun_occult_when_loc()</h3>
			</ol>
		</ol>
	</ol>
	<p><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">To
	find the next occultation of a planet or star by the moon for a
	given location, use swe_lun_occult_when_loc().</font></font></p>
	<p style="margin-right: -0.02in">The same function can also be used
	for local solar eclipses instead of swe_sol_eclipse_when_loc(), but
	is a bit less efficient. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	Same declaration as swe_sol_eclipse_when_loc().</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	In addition:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	int32 ipl          	planet number of occulted body</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	char* starname     	name of occulted star. Must be NULL or &quot;&quot;,
	if a planetary</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	occultation is to be calculated. For use of this
	field, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                       	see swe_fixstar().</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	int32 ifl        	ephemeris flag. If you want to have only one
	conjunction</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	of the moon with the body tested, add the
	following flag:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	backward |= SE_ECL_ONE_TRY. If this flag is not
	set,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the function will search for an occultation
	until it</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	finds one. For bodies with ecliptical latitudes
	&gt; 5,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the function may search successlessly until it
	reaches</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the end of the ephemeris. </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_when_loc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* 3 doubles for geo. lon, lat, height eastern longitude
	is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,  northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#000000">If
	an occultation of </font><font color="#000000"><i>any </i></font><font color="#000000">planet
	is wanted, call the function for all planets you want to consider
	and find the one with the smallest tret[1] (first contact). (If
	searching backward, find the one with the greatest tret[1]). For
	efficiency, set ifl |= SE_ECL_ONE_TRY. With this flag, only the next
	conjunction of the moon with the bodies is checked. If no
	occultation has been found, repeat the calculation with tstart =
	tstart + 20. </font></font></font></font>
	</p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">-1
	(ERR) on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">0
	 (if no occultation/no eclipse found)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_ANNULAR or SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_VISIBLE,
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_MAX_VISIBLE,
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_1ST_VISIBLE,
	SE_ECL_2ND_VISIBLE</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_3ST_VISIBLE,
	SE_ECL_4ND_VISIBLE</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">These
	return values (except the SE_ECL_ANNULAR) also appear with
	occultations.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[0]	time
	of maximum eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[1]	time
	of first contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[2]	time
	of second contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[3]	time
	of third contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[4]	time
	of forth contact</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[5]	time
	of sunrise between first and forth contact (not implemented so far)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[6]	time
	of sunset beween first and forth contact  (not implemented so far)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	fraction
	of solar diameter covered by moon (magnitude)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	ratio
	of lunar diameter to solar one</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]	fraction
	of solar disc covered by moon (obscuration)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]	diameter
	of core shadow in km</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of sun at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	elongation
	of moon in degrees	*/</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="7">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635982"></a>
				6.6. swe_lun_occult_when_glob()</h3>
			</ol>
		</ol>
	</ol>
	<p><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">To
	find the next occultation of a planet or star by the moon globally
	(not for a particular geographic location), use
	swe_lun_occult_when_glob().</font></font></p>
	<p style="margin-right: -0.02in">The same function can also be used
	for global solar eclipses instead of swe_sol_eclipse_when_glob(),
	but is a bit less efficient. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	Same declaration as swe_sol_eclipse_when_glob().</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	In addition:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	int32 ipl          	planet number of occulted body</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	char* starname     	name of occulted star. Must be NULL or &quot;&quot;,
	if a planetary</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	occultation is to be calculated. For use of this
	field, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                       	see swe_fixstar().</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	int32 ifl        	ephemeris flag. If you want to have only one
	conjunction</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	of the moon with the body tested, add the
	following flag:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	backward |= SE_ECL_ONE_TRY. If this flag is not
	set,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the function will search for an occultation
	until it</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	finds one. For bodies with ecliptical latitudes
	&gt; 5,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the function may search successlessly until it
	reaches</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	                   	the end of the ephemeris. </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_when_glob</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 	/* eclipse type wanted */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* 3 doubles for geo. lon, lat, height eastern longitude
	is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,  northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#000000">If
	an occultation of </font><font color="#000000"><i>any </i></font><font color="#000000">planet
	is wanted, call the function for all planets you want to consider
	and find the one with the smallest tret[1] (first contact). (If
	searching backward, find the one with the greatest tret[1]). For
	efficiency, set ifl |= SE_ECL_ONE_TRY. With this flag, only the next
	conjunction of the moon with the bodies is checked. If no
	occultation has been found, repeat the calculation with tstart =
	tstart + 20. </font></font></font></font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns: 
	</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">-1
	(ERR) on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">0
	 (if no occultation / eclipse has been found)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_ANNULAR or SE_ECL_PARTIAL or SE_ECL_ANNULAR_TOTAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_NONCENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[0]	time
	of maximum eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[1]	time,
	when eclipse takes place at local apparent noon</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[2]	time
	of eclipse begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[3]	time
	of eclipse end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[4]	time
	of totality begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[5]	time
	of totality end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[6]	time
	of center line begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[7]	time
	of center line end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[8]	time
	when annular-total eclipse becomes total not implemented so far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[9]	time
	when annular-total eclipse becomes annular again not implemented so
	far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#ff0000">	</font><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as tret[10] at least !</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="8">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635983"></a>
				6.7. swe_lun_occult_where ()</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">Similar to swe_sol_eclipse_where(),
	this function can be used to find out the geographic position,
	where, for a given time, a central eclipse is central or where a
	non-central eclipse is maximal. With occultations, it tells us, at
	which geographic location the occulted body is in the middle of the
	lunar disc or closest to it. Because occultations are always visible
	from a very large area, this is not very interesting information.
	But it may</p>
	<p style="margin-right: -0.02in">become more interesting as soon as
	the limits of the umbra (and penumbra) will be implemented.</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_where </b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* return array, 2 doubles, geo. long. and lat.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in">The function returns:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	-1 (ERR)	on error (e.g. if swe_calc() for sun or moon fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">0		if
	there is no solar eclipse (occultation) at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_ANNULAR</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL
	| SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_TOTAL
	| SE_ECL_NONCENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_ANNULAR
	| SE_ECL_CENTRAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">SE_ECL_ANNULAR
	| SE_ECL_NONCENTRAL</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 </font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[0]:	geographic
	longitude of central line</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[1]:	geographic
	latitude of central line</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">not
	implemented so far:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[2]:	geographic
	longitude of northern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[3]:	geographic
	latitude of northern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[4]:	geographic
	longitude of southern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[5]:	geographic
	latitude of southern limit of umbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[6]:	geographic
	longitude of northern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[7]:	geographic
	latitude of northern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[8]:	geographic
	longitude of southern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">geopos[9]:	geographic
	latitude of southern limit of penumbra</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eastern
	longitudes are positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">western
	longitudes are negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">northern
	latitudes are positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">southern
	latitudes are negative</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	fraction
	of solar diameter covered by moon (magnitude)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	ratio
	of lunar diameter to solar one</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]	fraction
	of solar disc covered by moon (obscuration)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]	diameter
	of core shadow in km</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of sun at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of sun above horizon at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	angular
	distance of moon from sun in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as attr[20]!</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<ol>
		<ol>
			<ol start="9">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635984"></a>
				6.8. swe_lun_eclipse_when ()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477837545"></a>To find
	the next lunar eclipse:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326807"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_eclipse_when</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 	/* eclipse type wanted: SE_ECL_TOTAL etc.  or 0, if any
	eclipse type */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p lang="en-GB" style="margin-right: -0.02in">Recommended values for
	ifltype:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">/*</span>
	search for any lunar eclipse, no matter which type */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= 0;  </font></font></font>
	</p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search a total lunar eclipse */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_TOTAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search a partial lunar eclipse */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_PARTIAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	search a penumbral lunar eclipse */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ifltype
	= SE_ECL_PENUMBRAL;</font></font></font></p>
	<p lang="it-IT" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">If
	your code does not work, please study the sample code in swetest.c.</span></b></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag 	-1 (ERR) on error (e.g. if swe_calc() for sun or moon
	fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_PENUMBRAL or SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[0]	time
	of maximum eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[1]	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[2]	time
	of partial phase begin (indices consistent with solar eclipses)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[3]	time
	of partial phase end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[4]	time
	of totality begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[5]	time
	of totality end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[6]	time
	of penumbral phase begin</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tret[7]	time
	of penumbral phase end</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="10">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635985"></a>
				6.9. swe_lun_eclipse_how ()</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837573"></a>This
	function computes the attributes of a lunar eclipse at a given time:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477326863"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_eclipse_how</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* input array, geopos, geolon, geoheight</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			eastern
	longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			western
	longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			northern
	latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			southern
	latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	retflag 	-1 (ERR) on error (e.g. if swe_calc() for sun or moon
	fails)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">		SE_ECL_TOTAL
	or SE_ECL_PENUMBRAL or SE_ECL_PARTIAL</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			0	
	if there is no eclipse</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]	umbral
	magnitude at tjd</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]	penumbral
	magnitude</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]	azimuth
	of moon at tjd. Not implemented so far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[5]	true
	altitude of moon above horizon at tjd. Not implemented so far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[6]	apparent
	altitude of moon above horizon at tjd. Not implemented so far</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[7]	distance
	of moon from opposition in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[8]			eclipse
	magnitude (= attr[0])</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[9]			saros
	series number	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[10]			saros
	series member number</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as attr[20] at least !</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<ol>
		<ol>
			<ol start="11">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635986"></a>
				6.10. swe_rise_trans() and swe_rise_trans_true_hor() (risings,
				settings, meridian transits)</h3>
			</ol>
		</ol>
	</ol>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837700"></a>The
	function swe_rise_trans() computes the times of rising, setting and
	meridian transits for all planets, asteroids, the moon, and the
	fixed stars. The function swe_rise_trans_true_hor() does the same
	for a local horizon that has an altitude != 0. Their definitions are
	as follows: 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477327296"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_rise_trans</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	epheflag, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	rsmi,		/* integer specifying that rise, set, orone of the two
	meridian transits is</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	wanted. see definition below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* geograph. long., lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar/hPa */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	/* atmospheric temperature in deg. C */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret,		/* return address (double) for rise time etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return address for error message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_rise_trans_true_hor</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	epheflag, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	rsmi,		/* integer specifying that rise, set, orone of the two
	meridian transits is</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	wanted. see definition below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* geograph. long., lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar/hPa */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	/* atmospheric temperature in deg. C */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	horhgt,	/* height of local horizon in deg at the point where the
	body rises or sets*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret,		/* return address (double) for rise time etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return address for error message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The second function has one
	additional parameter horhgt for the height of the local horizon at
	the point where the body rises or sets.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477328165"></a>The
	variable<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>
	rsmi</b></font></font> can have the following values:</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	for swe_rise_transit() and swe_rise_transit_true_hor() */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CALC_RISE	1</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CALC_SET	2</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CALC_MTRANSIT	4	/* upper meridian transit (southern for northern
	geo. latitudes) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_CALC_ITRANSIT	8	/* lower meridian transit (northern, below the
	horizon) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	the following bits can be added (or&rsquo;ed) to SE_CALC_RISE or
	SE_CALC_SET */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_DISC_CENTER         256     /* for rising or setting of disc
	center */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_DISC_BOTTOM      8192     /* for rising or setting of lower
	limb of disc */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_NO_REFRACTION    512 <i>     </i>/* if refraction is not to
	be considered */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_CIVIL_TWILIGHT    1024 <i>   </i>/* in order to calculate
	civil twilight */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_NAUTIC_TWILIGHT 2048 <i>   </i>/* in order to calculate
	nautical twilight */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_ASTRO_TWILIGHT   4096 <i>   </i>/* in order to calculate
	astronomical twilight */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_BIT_FIXED_DISC_SIZE (16*1024) /* neglect the effect of distance
	on disc size */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in"><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>rsmi
	</b></font></font>= 0 will return risings.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477837912"></a><a name="_Hlk477328180"></a><a name="_Hlk477328191"></a>
	The rising times depend on the atmospheric pressure and temperature.
	<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	expects the atmospheric pressure in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">millibar
	(hectopascal)</span></font></font></font>; <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>attemp</b></font></font>
	the temperature in degrees <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Celsius</span></font></font></font>.</p>
	<p style="margin-right: -0.02in">If <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	is given the value 0, the function estimates the pressure from the
	geographical altitude given in <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>geopos[2]</b></font></font>
	and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>attemp</b></font></font>.
	If <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>geopos[2]</b></font></font>
	is 0, <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	will be estimated for sea level.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="12">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635987"></a>
				6.11. swe_pheno_ut() and swe_pheno(), planetary phenomena</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477838007"></a>These
	functions compute phase, phase angle, elongation, apparent diameter,
	apparent magnitude for the Sun, the Moon, all planets and asteroids.
	The two functions do exactly the same but expect a different time
	parameter.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477328995"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_pheno_ut</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut,	/* time Jul. Day UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477329016"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_pheno</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_et,	/* time Jul. Day ET */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">The function returns:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[0]
	= phase angle (earth-planet-sun)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[1]
	= phase (illumined fraction of disc)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[2]
	= elongation of planet</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[3]
	= apparent diameter of disc</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">attr[4]
	= apparent magnitude</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">declare
	as attr[20] at least !</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	</font><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Note:
	the lunar magnitude is quite a complicated thing,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">but
	our algorithm is very simple. </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">The
	phase of the moon, its distance from the earth and</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">the
	sun is considered, but no other factors.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 </font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="de-CH">iflag
	also allows SEFLG_TRUEPOS, SEFLG_HELCTR</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="13">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635988"></a>
				6.12. swe_azalt(), horizontal coordinates, azimuth, altitude</h3>
			</ol>
		</ol>
	</ol>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477838340"></a><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_azalt()</span></font></font></font><i>
	</i>computes the horizontal coordinates (azimuth and altitude) of a
	planet or a star from either ecliptical or equatorial coordinates. 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><a name="_Hlk477329169"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_azalt</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	tjd_ut,	// UT </span></font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="pt-BR">int32
	calc_flag,	// SE_ECL2HOR or SE_EQU2HOR</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	// array of 3 doubles: geograph. long., lat., height</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress,	// atmospheric pressure in mbar (hPa)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	// atmospheric temperature in degrees Celsius</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xin, 	// array of 3 doubles: position of body in either  ecliptical
	or equatorial coordinates, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			//
	depending on calc_flag </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xaz); 	// return array of 3 doubles, containing azimuth, true
	altitude, apparent altitude</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.8in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">If
	<b>calc_flag</b>=SE_ECL2HOR, set xin[0]= ecl. long., xin[1]= ecl.
	lat., (xin[2]=distance (not required));</font></font></font></p>
	<p class="western" style="text-indent: 0.25in">else 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.8in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	<b>calc_flag</b>= SE_EQU2HOR, set xin[0]=rectascension,
	xin[1]=declination, (xin[2]= distance (not required));</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.68in"><br/>

	</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ECL2HOR		0</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_EQU2HOR		1</font></font></font></p>
	<p lang="it-IT" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The return values are: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477838689"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xaz[0]
	= azimuth, i.e. position degree, measured from the south point to
	west.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477838704"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xaz[1]
	= true altitude above horizon in degrees.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xaz[2]
	= apparent (refracted) altitude above horizon in degrees.</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The apparent altitude of a body
	depends on the atmospheric pressure and temperature. If only the
	true altitude is required, these parameters can be neglected.</p>
	<p style="margin-right: -0.02in">If <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	is given the value 0, the function estimates the pressure from the
	geographical altitude given in geopos[2] and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>attemp</b></font></font>.
	If geopos[2] is 0, <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	will be estimated for sea level.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="14">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635989"></a>
				6.13. swe_azalt_rev()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_azalt_rev()</span></font></font></font><i>
	</i>is not precisely the reverse of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_azalt()</span></font></font></font>.
	It computes either ecliptical or equatorial coordinates from azimuth
	and true altitude. If only an apparent altitude is given, the true
	altitude has to be computed first with the function
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_refrac()</span></font></font></font>&nbsp;(see
	below).</p>
	<p style="margin-right: -0.02in">It is defined as follows:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477329516"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_azalt_rev</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	tjd_ut,</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	calc_flag,	/* either SE_HOR2ECL or SE_HOR2EQU */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* array of 3 doubles for geograph. pos. of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xin, 		/* array of 2 doubles for azimuth and true altitude of
	planet */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xout); 	// return array of 2 doubles for either ecliptic or</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				//
	equatorial coordinates, depending on calc_flag </font></font></font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">For the definition of the azimuth
	and true altitude, see chapter 4.9 on <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_azalt()</span></font></font></font>.</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_HOR2ECL		0</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_HOR2EQU		1</font></font></font></p>
	<ol>
		<ol>
			<ol start="15">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635990"></a>
				6.14. swe_refrac(), swe_refract_extended(), refraction</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477838834"></a>The
	refraction function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_refrac()</span></font></font></font><i>
	</i>calculates either the true altitude from the apparent altitude
	or the apparent altitude from the apparent altitude. Its definition
	is: 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477329626"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_refrac</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	inalt, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar (hPa) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp, 	/* atmospheric temperature in degrees Celsius */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	calc_flag);	/* either SE_TRUE_TO_APP or SE_APP_TO_TRUE */</font></font></font></p>
	<p style="margin-right: -0.02in">where</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_TRUE_TO_APP	  0</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_APP_TO_TRUE	  1</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">The refraction depends on the
	atmospheric pressure and temperature at the location of the
	observer. 
	</p>
	<p style="margin-right: -0.02in">If <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	is given the value 0, the function estimates the pressure from the
	geographical altitude given in geopos[2] and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>attemp</b></font></font><b>.</b>
	If geopos[2] is 0, <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>atpress</b></font></font>
	will be estimated for sea level.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There is also a more sophisticated
	function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_refrac_extended()</span></font></font></font>,
	 It allows correct calculation of refraction for altitudes above sea
	&gt; 0, where the ideal horizon and planets that are visible may
	have a negative height. (for swe_refrac(), negative apparent heights
	do not exist!)</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_refract_extended</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	inalt, 	/* altitude of object above geometric horizon in degrees,
	where</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	
	   geometric horizon = plane perpendicular to gravity */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	geoalt, 	/* altitude of observer above sea level in meters */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar (hPa) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	lapse_rate, 	/* (dattemp/dgeoalt) = [&deg;K/m] */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp, 	/* atmospheric temperature in degrees Celsius */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	calc_flag);	/* either SE_TRUE_TO_APP or SE_APP_TO_TRUE */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">function returns:</p>
	<p style="margin-right: -0.02in">case 1, conversion from true
	altitude to apparent altitude:</p>
	<p style="margin-right: -0.02in">- apparent altitude, if body
	appears above is observable above ideal horizon</p>
	<p style="margin-right: -0.02in">- true altitude (the input value),
	otherwise</p>
	<p style="margin-right: -0.02in">  &quot;ideal horizon&quot; is the
	horizon as seen above an ideal sphere (as seen from a plane over the
	ocean with 
	</p>
	<p style="margin-right: -0.02in">  a clear sky)</p>
	<p style="margin-right: -0.02in">case 2, conversion from apparent
	altitude to true altitude:</p>
	<p style="margin-right: -0.02in">- the true altitude resulting from
	the input apparent altitude, if this value is a plausible apparent
	altitude, 
	</p>
	<p style="margin-right: -0.02in">  i.e. if it is a position above
	the ideal horizon</p>
	<p style="margin-right: -0.02in">- the input altitude otherwise</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">in addition the array dret[]
	returns the following values</p>
	<p style="margin-right: -0.02in">- dret[0] true altitude, if
	possible; otherwise input value</p>
	<p style="margin-right: -0.02in">- dret[1] apparent altitude, if
	possible; otherwise input value</p>
	<p style="margin-right: -0.02in">- dret[2] refraction</p>
	<p style="margin-right: -0.02in">- dret[3] dip of the horizon</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The body is above the horizon if
	the dret[0] != dret[1]</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="16">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635991"></a>
				6.15. Heliacal risings etc.: swe_heliacal_ut()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_heliacal_ut()</span></font></font></font><i>
	</i>the Julian day of the next heliacal phenomenon after a given
	start date. It works between geographic latitudes 60s &ndash; 60n.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_heliacal_ut</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjdstart, 	/* Julian day number of start date for the search of the
	heliacal event */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dgeo                /* geographic position (details below) */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*datm, 	/* atmospheric conditions (details below) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dobs, 	/* observer description (details below) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*objectname,        /* name string of fixed star or planet */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	event_type, 	/* event type (details below) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	helflag, 	/* calculation flag, bitmap (details below) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dret,	/* result: array of at least 50 doubles, of which 3 are used
	at the moment */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	* serr	/* error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">);	</font></font></font></p>
	<p><br/>

	</p>
	<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Function
	returns OK or ERR</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Details for dgeo[] (array of
	doubles):</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dgeo[0]:
	geographic longitude</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dgeo[1]:
	geographic latitude</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dgeo[2]:
	geographic altitude (eye height) in meters </font></font></font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Details for datm[] (array of
	doubles):</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">datm[0]:
	atmospheric pressure in mbar (hPa)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">datm[1]:
	atmospheric temperature in degrees Celsius</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">datm[2]:
	relative humidity in %</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">datm[3]:
	if datm[3]&gt;=1, then it is Meteorological Range [km]</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	            <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	1&gt;datm[3]&gt;0, then it is the total atmsopheric coeffcient
	(ktot)</font></font></font></p>
	<p><font color="#000080">                      <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">datm[3]=0,
	then the other atmospheric parameters determine the total </font></font></font>
	</p>
	<p><font color="#000080">                                           
	                                             <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">atmsopheric
	coeffcient (ktot)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Default
	values:</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">If
	this is too much for you, set all these values to 0. The software
	will then set the following defaults:</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Pressure
	1013.25, temperature 15, relative humidity 40. The values will be
	modified depending </font></font></font>
	</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">on
	the altitude of the observer above sea level.</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">If
	the extinction coefficient (meteorological range) datm[3] is 0, the
	software will calculate its value</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">from
	datm[0..2].</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Details for dobs[] (array of
	doubles):</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dobs[0]:
	age of observer in years (default = 36)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dobs[1]:
	Snellen ratio of observers eyes (default = 1 = normal)</font></font></font></p>
	<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">The
	following parameters are only relevant if the flag
	SE_HELFLAG_OPTICAL_PARAMS is set:</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dobs[2]:
	0 = monocular, 1 = binocular (actually a boolean)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dobs[3]:
	telescope magnification: 0 = default to naked eye (binocular), 1 =
	naked eye</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">dobs[4]:
	optical aperture (telescope diameter) in mm</span></font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dobs[5]:
	optical transmission</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">Details for event_type:</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">event_type
	= SE_HELIACAL_RISING (1): morning first (exists for all visible
	planets and stars)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">event_type
	= SE_HELIACAL_SETTING (2): evening last (exists for all visible
	planets and stars) </font></font></font>
	</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">event_type
	= SE_EVENING_FIRST (3): evening first (exists for Mercury, Venus,
	and the Moon)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">event_type
	= SE_MORNING_LAST (4): morning last (exists for Mercury, Venus, and
	the Moon)</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Details for helflag:</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">helflag
	contains ephemeris flag, like iflag in swe_calc() etc. In addition
	it can contain the following bits:</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_HELFLAG_LONG_SEARCH
	(128): A heliacal event is searched until found. </font></font></font>
	</p>
	<p><font color="#000080">             <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">If
	this bit is NOT set and no event is found within 5 synodic periods,
	the function stops </font></font></font>
	</p>
	<p><font color="#000080">             <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">searching
	and  returns ERR.</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_HELFLAG_HIGH_PRECISION
	(256): More rigorous but also slower algorithms are used</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_HELFLAG_OPTICAL_PARAMS
	(512): Use this with calculations for optical instruments. </font></font></font>
	</p>
	<p><font color="#000080">              <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Unless
	this bit is set, the values of dobs[2-5] are ignored.</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_HELFLAG_NO_DETAILS
	(1024): provide the date, but not details like visibility start,
	optimum, and end.</font></font></font></p>
	<p><font color="#000080">              <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">This
	bit makes the program a bit faster.</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">Details for return array dret[]
	(array of doubles):</p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dret[0]:
	start visibility (Julian day number)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dret[1]:
	optimum visibility (Julian day number)</font></font></font></p>
	<p><font color="#000080">        <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">dret[2]:
	end of visibility (Julian day number)</font></font></font></p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="17">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635992"></a>
				6.16. Magnitude limit for visibility: swe_vis_limit_mag()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_vis_lim_mag()</span></font></font></font><i>
	</i>determines the limiting visual magnitude in dark skies:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	</span><span lang="fr-FR"><b>swe_vis_limit_mag</b></span><span lang="fr-FR">(</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjdut, 	/* Julian day number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dgeo                /* geographic position (details under
	swe_heliacal_ut() */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*datm, 	/* atmospheric conditions (details under swe_heliacal_ut())
	*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dobs, 	/* observer description (details under swe_heliacal_ut()) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*objectname,        /* name string of fixed star or planet */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	helflag, 	/* calculation flag, bitmap (details under
	swe_heliacal_ut()) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dret,	/* result: magnitude required of the object to be visible */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	* serr	/* error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">);	</font></font></font></p>
	<p><br/>

	</p>
	<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Function
	returns </font></font></font>
	</p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">-1	on
	error</font></font></font></p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">-2
		object is below horizon</font></font></font></p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">0	OK,
	photopic vision</font></font></font></p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">&amp;1	OK,
	scotopic vision</font></font></font></p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">&amp;2	OK,
	near limit photopic/scotopic vision</font></font></font></p>
	<p lang="en-GB"><br/>

	</p>
	<ol>
		<ol start="7">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635993"></a><a name="_Hlk477330063"></a>
			7. Date and time conversion functions 
			</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635994"></a>
				7.1 Calendar Date and Julian Day: swe_julday(),
				swe_date_conversion(), /swe_revjul()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">These functions are needed to
	convert calendar dates to the astronomical time scale which measures
	time in Julian days. 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477329697"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_julday</b>(int year, int month, int day, double hour, int
	gregflag); </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477331070"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_date_conversion</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	y , int m , int d ,	/* year, month, day */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	    <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	hour, 			/* hours (decimal, with fraction) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	    <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	char
	c,  			/* calendar &lsquo;g&rsquo;[regorian]|&rsquo;j&rsquo;[ulian]
	*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*tjd);			/* return value for Julian day */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477329710"></a><a name="_Hlk477839146"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_revjul</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd, 		/* Julian day number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	gregflag,		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	*year,		/* target addresses for year, etc. */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	*month, int *day, double *hour);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477839957"></a><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_julday()</span></font></font></font><i>
	</i>and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_date_conversion()</span></font></font></font>
	compute a Julian day number from year, month, day, and hour.
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_date_conversion()</span></font></font></font><i>
	</i>checks in addition whether the date is legal. It returns OK or
	ERR.</p>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_revjul()</span></font></font></font>
	is the reverse function of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_julday()</span></font></font></font>.<i>
	</i>It computes year, month, day and hour from a Julian day number.<font face="Courier New, monospace">
	</font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477329877"></a>The
	variable <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>gregflag</b></font></font>
	tells the function whether the input date is Julian calendar (
	<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>gregflag</b></font></font>
	= SE_JUL_CAL) or Gregorian calendar ( <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>gregflag</b></font></font>
	= SE_GREG_CAL). 
	</p>
	<p style="margin-right: -0.02in">Usually, you will set <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>gregflag</b></font></font><i>
	</i>= SE_GREG_CAL. 
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477330118"></a>The
	Julian day number has nothing to do with Julius Cesar, who
	introduced the Julian calendar, but was invented by the monk
	Julianus. The Julian day number tells for a given date the number of
	days that have passed since the creation of the world which was then
	considered to have happened on 1 Jan &ndash;4712 at noon. E.g. the
	1.1.1900 corresponds to the Julian day number 2415020.5.</p>
	<p style="margin-right: -0.02in">Midnight has always a JD with
	fraction 0.5, because traditionally  the astronomical day started at
	noon. This was practical because then there was no change of date
	during a night at the telescope.  From this comes also the fact that
	noon ephemerides were printed before midnight ephemerides were
	introduced early in the 20th century. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635995"></a>
				7.2. UTC and Julian day: swe_utc_time_zone(), swe_utc_to_jd(),
				swe_jdet_to_utc(), swe_jdut1_to_utc()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The following functions, which were
	introduced with Swiss Ephemeris version 1.76, do a similar job as
	the functions described under 7.1. The difference is that input and
	output times are Coordinated Universal Time (UTC). For
	transformations between wall clock (or arm wrist) time and Julian
	Day numbers, these functions are more correct. The difference is
	below 1 second, though.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Use these functions to convert 
	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">local time to UTC and UTC to
		local time,</p>
		<li/>
<p style="margin-right: -0.02in">UTC to a Julian day number,
		and</p>
		<li/>
<p style="margin-right: -0.02in">a Julian day number to UTC. 
		</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><b>Note</b>, in case of leap
	seconds, the input or output time may be 60.9999 seconds. Input or
	output forms have to allow for this.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	transform local time to UTC or UTC to local time</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	input:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  iyear ... dsec     date and time</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  d_timezone         timezone offset</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  iyear_out ... dsec_out</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For time zones east of Greenwich, d_timezone is positive.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For time zones west of Greenwich, d_timezone is negative.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For conversion from local time to utc, use +d_timezone.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For conversion from utc to local time, use -d_timezone.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	FAR PASCAL_CONV <b>swe_ utc_time_zone</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iyear, int32 imonth, int32 iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">int32
	ihour, int32 imin, double dsec,</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	d_timezone,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	*iyear_out, int32 *imonth_out, int32 *iday_out,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	*ihour_out, int32 *imin_out, double *dsec_out</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: date and time (wall clock time), calendar flag.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: an array of doubles with Julian Day number in ET (TT) and UT
	(UT1)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	            an error message (on error)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	<span lang="en-GB">The function returns OK or ERR.</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_utc_to_jd</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int32
	iyear, int32 imonth, int32 iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	ihour, int32 imin, double dsec,   /* note&nbsp;: second is a decimal
	*/</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	dret	/*
	return array, two doubles:</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* dret[0] = Julian day in ET (TT)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* dret[1] = Julian day in UT (UT1) */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	serr	/*
	error string */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: Julian day number in ET (TT), calendar flag</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: year, month, day, hour, min, sec in UTC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_jdet_to_utc</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">double
	tjd_et,	/* Julian day number in ET (TT) */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">	</span>int32
	*iyear, int32 *imonth, int32 *iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	*ihour, int32 *imin, double *dsec,   /* note&nbsp;: second is a
	decimal */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: Julian day number in UT (UT1), calendar flag</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: year, month, day, hour, min, sec in UTC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_jdut1_to_utc</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">double
	tjd_ut,	/* Julian day number in ET (TT) */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">	</span>int32
	*iyear, int32 *imonth, int32 *iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	*ihour, int32 *imin, double *dsec,   /* note&nbsp;: second is a
	decimal */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">How do I get correct planetary
	positions, sidereal time, and house cusps, starting from a wall
	clock date and time?</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iday, imonth, iyear, ihour, imin, retval;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	gregflag = SE_GREG_CAL;</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	d_timezone = 5.5&nbsp;; /* time zone = Indian Standard Time; note:
	east is positive */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	dsec, tjd_et, tjd_ut;</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	dret[2];</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	serr[256];</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">&hellip;</font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	if date and time is in time zone different from UTC, the time zone
	offset must be subtracted</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	first in order to get UTC: */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_utc_time_zone(iyear,
	imonth, iday, ihour, imin, dsec, d_timezone,</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	               <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">&amp;iyear_utc,
	&amp;imonth_utc, &amp;iday_utc, &amp;ihour_utc, &amp;imin_utc,
	&amp;dsec_utc)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	calculate Julian day number in UT (UT1) and ET (TT) from UTC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">retval
	= swe_utc_to_jd (iyear_utc, imonth_utc, iday_utc, ihour_utc,
	imin_utc, dsec_utc, gregflag, dret, serr);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">if
	(retval == ERR) {</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="de-CH">fprintf(stderr,
	serr);  /* error handling */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_et
	= dret[0];  /* this is ET (TT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_ut
	= dret[1];  /* this is UT (UT1) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	calculate planet with tjd_et */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_calc(tjd_et,
	&hellip;);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	calculate houses with tjd_ut */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_houses(tjd_ut,
	&hellip;)</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">And how do you get the date and
	wall clock time from a Julian day number? Depending on whether you
	have tjd_et (Julian day as ET (TT)) or tjd_ut (Julian day as UT
	(UT1)), use one of the two functions swe_jdet_to_utc() or
	swe_jdut1_to_utc().</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">&hellip;</font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	first, we calculate UTC from TT (ET) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_jdet_to_utc(tjd_et,
	gregflag, &amp;iyear_utc, &amp;imonth_utc, &amp;iday_utc,
	&amp;ihour_utc, &amp;imin_utc, &amp;dsec_utc);</font></font></font></p>
	<p><font color="#000080">         <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	now, UTC to local time (note the negative sign before d_timezone):
	*/</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_utc_time_zone(iyear_utc,
	imonth_utc, iday_utc, ihour_utc, imin_utc, dsec_utc, </font></font></font>
	</p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">-d_timezone,
	&amp;iyear, &amp;imonth, &amp;iday, &amp;ihour, &amp;imin, &amp;dsec)</font></font></font></p>
	<p lang="en-GB"><br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635996"></a>
				7.3. Future insertion of leap seconds and the file
				swe_leapsec.txt</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">The insertion of leap seconds is
	not known in advance. We will update the Swiss Ephemeris whenever
	the IERS announces that a leap second will be inserted. However, if
	the user does not want to wait for our update or does not want to
	download a new version of the Swiss Ephemeris, he can create a file
	swe_leapsec.txt in the ephemeris directory. Insert a line with the
	date on which a leap second has to be inserted. The file looks as
	follows:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	This file contains the dates of leap seconds to be taken into
	account</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	by the Swiss Ephemeris.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	For each new leap second add the date of its insertion in the format</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	yyyymmdd, e.g. &quot;20081231&quot; for 21 december 2008</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">20081231</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635997"></a>
				7.4. Mean solar time versus True solar time: swe_time_equ()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477330492"></a><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Universal
	Time</span></font></font></font> (UT or UTC) is based on <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Mean
	Solar Time</span></font></font></font>, AKA <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Mean Time</span></font></font></font>, which is a uniform measure of
	time. A day has always the same length, independent of the time of
	the year. 
	</p>
	<p style="margin-right: -0.02in">In the centuries before mechanical
	clocks where used, when the reckoning of time was mostly based on
	sun dials, the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">True
	Solar Time</span></font></font></font> was used, also called <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Apparent Time</span></font></font></font>.</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477840429"></a>The
	difference between <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Mean Time</span></font></font></font> and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Apparent Time</span></font></font></font> is called the <b>equation
	of time</b>. This difference can become as large as 20 minutes.</p>
	<p style="margin-right: -0.02in">If a birth time of a historical
	person was noted in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Apparent Time</span></font></font></font>, it must first be
	converted to <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Mean Time</span></font></font></font> by applying the equation of
	time, before it can be used to compute Universal Time (for the
	houses) and finally <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477830987">Ephemeris
	Time</a></u></font></font></font> (for the planets). 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There is a function for computing
	the correction value.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	equation of time function returns the difference between local
	apparent and local mean time.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">e
	= LAT &ndash; LMT.  </span>tjd is ephemeris time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477330339"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_time_equ</b>(double <font color="#0000ff">tjd</font>, double*
	<font color="#0000ff">e</font>, char* <font color="#0000ff">serr</font>);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">If you first compute <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>tjd</b></font></font>
	on the basis of the registered <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Apparent Time</span></font></font></font>, you convert it to <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Local
	Mean Time</span></font></font></font> with:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_mean
	= tjd_app + e;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol start="8">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365635998"></a>
			8. Delta T-related functions</h2>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	delta t from Julian day number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477840778"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	</span><span lang="fr-FR"><b>swe_deltat</b></span><span lang="fr-FR">(double
	tjd);</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	get tidal acceleration used in swe_deltat() */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477840792"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_get_tid_acc</b>(void); </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	set tidal acceleration to be used in swe_deltat() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477840801"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_set_tid_acc</b>(double t_acc);</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477830987"></a>The
	Julian day number, you compute from a birth date, will be <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Universal
	Time (UT,  former GMT)</span></font></font></font> and can be used
	to compute the star time and the houses. However, for the planets
	and the other factors, you have to convert UT to <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Ephemeris
	time (ET): </span></font></font></font>
	</p>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365635999"></a>
				8.1 swe_deltat()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjde
	= tjd + <b>swe_deltat</b>(tjd);	where <b>tjd</b> = Julian day in UT,
	<b>tjde</b><i> </i>= in ET</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">For precision fanatics: The value
	of <b>delta t</b> depends on the tidal acceleration in the motion of
	the moon. Its default value corresponds to the state-of-the-art JPL
	ephemeris (e.g.  <span lang="fr-FR">DE406, s. </span><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font><span lang="fr-FR">).
	</span>If you use another JPL ephemeris, e.g.  DE200, you may wish
	the tidal constant of DE200. This makes a difference of 0.5 time
	seconds in 1900 and 4 seconds in 1800 (= 0.2&rdquo; in the position
	of the sun). However, this effect is limited to the period 1620 -
	~1997. To change the tidal acceleration, use the function 
	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636000"></a>
				8.2 swe_set_tid_acc(), swe_get_tid_acc()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_tid_acc</b>(acceleration);
	<font color="#000000">	//</font><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">
	Do this before calling deltat() !</span></b></font></font></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">The values that <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>acceleration</b></font></font>
	can have are listed in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h.</span></font></font></font>
	(e.g. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_TIDAL_200</font></font></font>,
	etc.)</p>
	<p style="margin-right: -0.02in">To find out the built-in value of
	the tidal acceleration, you can call 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">acceleration
	= <b>swe_get_tidacc</b>(); </font></font></font>
	</p>
	<p style="margin-bottom: 0.08in"><br/>
<br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636001"></a>
				8.3. Future updates of Delta T and the file swe_deltat.txt</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-bottom: 0.08in">Delta T values for future years can
	only be estimated. Strictly speaking, the Swiss Ephemeris has to be
	updated every year after the new Delta T value for the past year has
	been published by the IERS. We will do our best and hope to update
	the Swiss Ephemeris every year. However, if the user does not want
	to wait for our update or does not download a new version of the
	Swiss Ephemeris he can add new Delta T values in the file
	swe_deltat.txt, which has to be located in the Swiss Ephemeris
	ephemeris path.</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	This file allows make new Delta T known to the Swiss Ephemeris.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	Note, these values override the values given in the internal Delta T</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	table of the Swiss Ephemeris.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#
	Format: year and seconds (decimal) </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2003
	64.47</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2004
	65.80</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2005
	66.00</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2006
	67.00</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2007
	68.00</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2008
	68.00</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">2009
	69.00</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol start="9">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636002"></a>
			9. The function swe_set_topo() for topocentric planet positions</h2>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477841944"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_set_topo</b>(double <font color="#0000ff">geolon</font>,
	double <font color="#0000ff">geolat</font>, double <font color="#0000ff">altitude</font>);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			/*
	eastern longitude is positive,  western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	  northern latitude is positive,	  southern latitude is negative */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477841859"></a>This
	function must be called before topocentric planet positions for a
	certain birth place can be computed. It tells Swiss Ephemeris, what
	geographic position is to be used. Geographic longitude <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>geolon
	</b></font></font>and latitude <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>geolat</b></font></font>
	must be in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">degrees</span></font></font></font>,
	the <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>altitude</b></font></font>
	above sea must be in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">meters</span></font></font></font>.
	Neglecting the altitude can result in an error of about <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">2
	arc seconds</span></font></font></font> with the moon and at an
	altitude 3000 m. After calling <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_topo()</span></font></font></font>,
	add SEFLG_TOPOCTR to<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>
	and call <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	as with an ordinary computation. E.g.: 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_topo</b>(geo_lon,
	geo_lat, altitude_above_sea);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	| = SEFLG_TOPOCTR;</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">for
	(i = 0; i &lt; NPLANETS; i++) {</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflgret
	= swe_calc( tjd, ipl, iflag, xp, serr );</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="pt-BR">printf(&rdquo;%f\n&rdquo;,
	xp[0]);</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}
	 </font></font></font>
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The parameters set by
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_topo()</span></font></font></font>
	survive <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_close().</span></font></font></font></p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="10">
			<li/>
<h2 lang="fr-FR" class="western"><a name="__RefHeading___Toc365636003"></a>
			10. Sidereal mode functions</h2>
			<ol>
				<li/>
<h3 lang="fr-FR" class="western"><a name="__RefHeading___Toc365636004"></a>
				10.1. swe_set_sid_mode()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477842044"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">void
	</span><span lang="fr-FR"><b>swe_set_sid_mode</b></span><span lang="fr-FR">
	(int32 </span><font color="#0000ff"><span lang="fr-FR">sid_mode</span></font><span lang="fr-FR">,
	double </span><font color="#0000ff"><span lang="fr-FR">t0</span></font><span lang="fr-FR">,
	double </span><font color="#0000ff"><span lang="fr-FR">ayan_t0</span></font><span lang="fr-FR">);</span></font></font></font></p>
	<p lang="fr-FR" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This function can be used to
	specify the mode for sidereal computations. 
	</p>
	<p style="margin-right: -0.02in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	or <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>
	has then to be called with the bit SEFLG_SIDEREAL. 
	</p>
	<p style="margin-right: -0.02in">If <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>
	is not called, the default <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha</b></font></font><b>
	</b>(Fagan/Bradley) is used. 
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477842160"></a><a name="_Hlk477842217"></a><a name="_Hlk477860745"></a>
	If a predefined mode is wanted, the variable <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>sid_mode</b></font></font>
	has to be set, while <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>t0</b></font></font>
	and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayan_t0</b></font></font>
	are not considered, i.e. can be 0. The predefined sidereal modes
	are: 
	</p>
	<p lang="es-ES"><br/>

	</p>
	<p lang="es-ES" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_FAGAN_BRADLEY    	0</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_LAHIRI           	1</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_DELUCE           	2</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_RAMAN            	3</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_USHASHASHI       	4</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_KRISHNAMURTI     	5</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_DJWHAL_KHUL      	6</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_YUKTESHWAR       	7</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_JN_BHASIN        	8</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_BABYL_KUGLER1    	9</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_BABYL_KUGLER2   	10</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_BABYL_KUGLER3   	11</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_BABYL_HUBER    	12</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_BABYL_ETPSC    	13</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_ALDEBARAN_15TAU	14</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_HIPPARCHOS      	15</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_SASSANIAN       	16</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_GALCENT_0SAG    	17</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J2000           	18</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J1900           	19</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_B1950           	20</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_SURYASIDDHANTA 	21</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_SURYASIDDHANTA_MSUN  22</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_ARYABHATA       	23</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_ARYABHATA_MSUN  	24</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_USER            	255</font></font></font></p>
	<p><br/>

	</p>
	<p style="margin-right: -0.02in">For information about the sidereal
	modes, read the chapter on sidereal calculations in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swisseph.doc.</span></font></font></font></p>
	<p style="margin-right: -0.02in">To define your own sidereal mode,
	use SE_SIDM_USER (= 255) and set the reference date <b>(</b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>t0</b></font></font><b>)</b>
	and the initial value of the<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha
	(ayan_t0)</b></font></font>.</p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ayan_t0
	= tropical_position_t0 &ndash; sidereal_position_t0.</font></font></font></p>
	<p style="margin-right: -0.02in">Without additional specifications,
	the traditional method is used. The <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha</b></font></font>
	measured on the ecliptic of t0 is subtracted from tropical positions
	referred to the ecliptic of date. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Note, this method will NOT provide
	accurate results if you want coordinates referred to the ecliptic of
	one of the following equinoxes:</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J2000           	18</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J1900           	19</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_B1950           	20</font></font></font></p>
	<p lang="en-GB" style="margin-right: -0.02in">Instead, you have to
	use a correct coordinate transformation as described in the
	following:</p>
	<p lang="en-GB" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><i><u>Special uses of the sidereal
	functions:</u></i></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><i>a) correct transformation of
	ecliptic coordinates to the ecliptic of a particular date</i></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">If a correct transformation to the
	ecliptic of <b>t0</b> is required the following bit can be added
	(&lsquo;ored&rsquo;) to the value of the variable <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>sid_mode:</b></font></font></p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	for projection onto ecliptic of t0 */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDBIT_ECL_T0        256</font></font></font></p>
	<p lang="fr-FR" class="western">E.g.:</p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_sid_mode</b>(SE_SIDM_J2000
	+ SE_SIDBIT_ECL_T0, 0, 0);</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	|= SEFLG_SIDEREAL;</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">for
	(i = 0; i &lt; NPLANETS; i++) {</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflgret
	= swe_calc(tjd, ipl, iflag, xp, serr);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="pt-BR">printf(&rdquo;%f\n&rdquo;,
	xp[0]);</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">}
	 </font></font></font>
	</p>
	<p><br/>

	</p>
	<p>This procedure is required for the following sidereal modes, i.e.
	for transformation to the ecliptic of one of the standard equinoxes:</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J2000           	18</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_J1900           	19</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDM_B1950           	20</font></font></font></p>
	<p lang="it-IT"><br/>

	</p>
	<p style="margin-right: -0.02in"><i>b) calculating
	precession-corrected transits</i></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sidmode()</span></font></font></font>
	can also be used for calculating &rdquo;precession-corrected
	transits&rdquo;. There are two methods, of which you have to choose
	the one that is more appropriate for you:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">1. If you already have tropical
	positions of a natal chart, you can proceed as follows:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">iflgret
	</span><span lang="da-DK"><b>= swe_calc</b></span><span lang="da-DK">(tjd_et_natal,
	SE_ECL_NUT, 0, x, serr);</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">nut_long_nata
	= x[2];</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_sid_mode</b>(
	SE_SIDBIT_USER + SE_SIDBIT_ECL_T0, tjd_et, nut_long_natal );</font></font></font></p>
	<p lang="da-DK" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">where <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>tjd_et_natal</b></font></font>
	is the Julian day of the natal chart (Ephemeris time).</p>
	<p style="margin-right: -0.02in">After this calculate the transits,
	using the function swe_calc() with the sidereal bit:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	|= SEFLG_SIDEREAL;</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflgret
	= swe_calc(tjd_et_transit, ipl_transit, iflag, xpt, serr);</font></font></font></p>
	<p lang="da-DK"><br/>

	</p>
	<p lang="da-DK" class="western">2. If you do not have tropical natal
	positions yet, if you do not need them and are just interested in
	transit times, you can have it simpler:</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_set_sid_mode</b>(
	SE_SIDBIT_USER + SE_SIDBIT_ECL_T0, tjd_et, 0 );</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	|= SEFLG_SIDEREAL;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">iflgret
	= </span><span lang="da-DK"><b>swe_calc</b></span><span lang="da-DK">(tjd_et_natal,
	ipl_natal, iflag, xp, serr);</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">iflgret
	= </span><span lang="da-DK"><b>swe_calc</b></span><span lang="da-DK">(tjd_et_transit,
	ipl_transit, iflag, xpt, serr);</span></font></font></font></p>
	<p lang="da-DK"><br/>

	</p>
	<p lang="da-DK" class="western">In this case, the natal positions
	will be tropical but without nutation. Note that you should not use
	them for other purposes.</p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p lang="da-DK" class="western"><i>c) solar system rotation plane</i></p>
	<p lang="da-DK" class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">For sidereal positions referred to
	the solar system rotation plane, use the flag 
	</p>
	<p><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	for projection onto solar system rotation plane */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_SIDBIT_SSY_PLANE     512</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Note: the parameters set by
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>
	survive calls of the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_close().</span></font></font></font></p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636005"></a>
				10.2. swe_get_ayanamsa_ut() and swe_get_ayanamsa()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477856452"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_get_ayanamsa_ut</b>(double tjd_ut);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477856443"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_get_ayanamsa</b>(double tjd_et);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_get_ayanamsa_ut()</span></font></font></font>
	was introduced with Swisseph Version 1.60 and expects Universal Time
	instead of Ephemeris Time. (cf. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc_ut()</span></font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>)</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477842381"></a>The two
	functions compute the <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha</b></font></font>,
	i.e. the distance of the tropical vernal point from the sidereal
	zero point of the zodiac. The<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha</b></font></font>
	is used to compute sidereal planetary positions from tropical ones:</p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">pos_sid
	= pos_trop &ndash; ayanamsha</font></font></font></p>
	<p style="margin-right: -0.02in">Before calling <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_get_ayanamsha()</span></font></font></font>,
	you have to set the sidereal mode with <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842044">swe_set_sid_mode</a></u></font></font></font>,
	unless you want the default sidereal mode, which is the
	Fagan/Bradley<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ayanamsha.</b></font></font>
		</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="11">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636006"></a>
			11. The Ephemeris file related functions 
			</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636007"></a>
				11.1 swe_set_ephe_path()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477844273"></a>If the
	environment variable SE_EPHE_PATH  exists in the environment where
	Swiss Ephemeris is used, its content is used to find the ephemeris
	files. The variable can contain a directory name, or a list of
	directory names separated by <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b><font size="4" style="font-size: 14pt">;</font></b></font></font>
	(semicolon) on Windows or <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b><font size="4" style="font-size: 14pt">:</font></b></font></font>
	(colon) on Unix. 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477843944"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_set_ephe_path</b>(char *path);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Usually an application will want to
	set its own ephemeris path by calling <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>,
	e.g.</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_set_ephe_path(&rdquo;C:\\SWEPH\\EPHE&rdquo;);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477863958"></a>The
	argument can be a single directory name or a list of directories,
	which are then searched in sequence. The argument of this call is
	ignored if the environment variable <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_EPHE_PATH</font></font></font>
	exists and is not empty.<br>If you want to make sure that your
	program overrides any environment variable setting, you can use
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">putenv()</span></font></font></font>
	to set it to an empty string. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477864058"></a>If the
	path is longer than <font color="#800000"><b>256 bytes</b></font>,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>
	sets the path <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\SWEPH\EPHE</span></font></font></font>
	instead.</p>
	<p style="margin-right: -0.02in">If no environment variable exists
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>
	is never called, the built-in ephemeris path is used. On Windows it
	is <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;\sweph\ephe&rdquo;</span></font></font></font>
	relative to the current working drive, on Unix it is <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&quot;/users/ephe&quot;.</span></font></font></font></p>
	<p style="margin-right: -0.02in">Asteroid ephemerides are looked for
	in the subdirectories <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast0,
	ast1, ast2 .. ast9 </span></font></font></font>of the ephemeris
	directory and, if not found there, in the ephemeris directory
	itself. Asteroids with numbers 0 &ndash; 999 are expected in
	directory <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast0</span></font></font></font>,
	those with numbers 1000 &ndash; 1999 in directory <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast1</span></font></font></font>
	etc. 
	</p>
	<p style="margin-right: -0.02in">The environment variable
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_EPHE_PATH</font></font></font>
	is most convenient when a user has several applications installed
	which all use the Swiss Ephemeris but would normally expect the
	ephemeris files in different application-specific directories. The
	use can override this by setting the environment variable, which
	forces all the different applications to use the same ephemeris
	directory. This allows him to use only one set of installed
	ephemeris files for all different applications. A developer should
	accept this override feature and allow the sophisticated users to
	exploit it.</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636008"></a>
				11.2 swe_close()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	close Swiss Ephemeris */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477844023"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_close</b>(void);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">At the end of your computations you
	can release most resources (open files and allocated memory) used by
	the Swiss Ephemeris DLL.</p>
	<p style="margin-right: -0.02in">The following parameters survive a
	call of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc():</span></font></font></font></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">the ephemeris path set by
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()
		</span></font></font></font>
		</p>
		<li/>
<p style="margin-right: -0.02in">the JPL file name set by<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		swe_set_jpl_file()</span></font></font></font></p>
		<li/>
<p style="margin-right: -0.02in">the geographical location
		set by<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		swe_set_topo()</span></font></font></font> for topocentric
		planetary positions</p>
		<li/>
<p style="margin-right: -0.02in">the sidereal mode set by
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>
		for sidereal planetary positions</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">As soon as you make a call to
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
	or <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>,
	the Swiss Ephemeris re-opens again.</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636009"></a>
				11.3 swe_set_jpl_file()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	set name of JPL ephemeris file */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477844051"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_set_jpl_file</b>(char *fname);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-right: -0.02in">If you work with the JPL ephemeris,
	SwissEph uses the default file name which is defined in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font>
	as SE_FNAME_DFT. Currently, it has the value <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;de406.eph&rdquo;</span></font></font></font>.</p>
	<p style="margin-right: -0.02in">If different JPL ephemeris file is
	required, call the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_jpl_file()</span></font></font></font><i>
	</i>to make the file name known to the software, e.g. 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_set_jpl_file(&rdquo;de405.eph&rdquo;);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This file must reside in the
	ephemeris path you are using for all your ephemeris files.</p>
	<p>If the file name is longer than 256 byte, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_jpl_file()</span></font></font></font>
	cuts the file name to a length of 256 bytes. The error will become
	visible after the first call of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>,
	when it will return zero positions and an error message.</p>
	<p><br/>

	</p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636010"></a>
				11.4 swe_version()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	find out version number of your Swiss Ephemeris version */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*<b>swe_version</b>(char *svers); </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	svers is a string variable with sufficient space to contain the
	version number (255 char) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p>The Function returns a pointer to the string svers, i.e. to the
	version number of the Swiss Ephemeris that your software is using.</p>
	<p><br/>

	</p>
	<ol>
		<ol start="12">
			<li/>
<h2 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365636011"></a>
			12. House cusp calculation</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636012"></a>
				12.1 swe_houses()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	house cusps, ascendant and MC */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477861239"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	geolon, 	/* geographic longitude, in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	hsys, 		/* house method, ascii code of one of the letters
	PKORCAEVXHTBG */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*ascmc);	/* array for 10 doubles */</font></font></font></p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636013"></a>
				12.2 swe_houses_armc()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477861854"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses_armc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	armc, 		/* ARMC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	eps, 		/* ecliptic obliquity, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	hsys, 		/* house method, ascii code of one of the letters
	PKORCAEVXHTBG */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*ascmc);	/* array for 10 doubles */</font></font></font></p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636014"></a>
				12.3 swe_houses_ex()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	extended function; to compute tropical or sidereal positions */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477861861"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses_ex</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int32
	iflag, 		/* 0 or SEFLG_SIDEREAL or SEFLG_RADIANS */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolon, 	/* geographic longitude, in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font face="Courier New, monospace">			</font>
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, ascii code of one of the letters
	PKORCAEVXHTBG */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*ascmc);	/* afrray for 10 doubles */ </font></font></font>
	</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636015"></a>
				12.4 swe_house_name()</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	returns the name of the house method, maximum 40 chars</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	* <b>swe_house_name</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, ascii code of one of the letters
	PKORCAEVXHTBG */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	);
	</font></font></font>
	</p>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477862144"></a><a name="_Hlk477862235"></a>
	The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses()</span></font></font></font>
	is most comfortable, if you need the houses for a given date and
	geographic position. Sometimes, however, you will want to compute
	houses from an ARMC, e.g. with the composite horoscope which has no
	date, only the composite ARMC of two natal ARMCs. In such cases, you
	can use the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_armc()</span></font></font></font>.
	To compute the composite ecliptic obliquity<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>eps</b></font></font>,
	you will have to call <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweph_calc()</span></font></font></font><i>
	</i>with <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ipl
	= </b></font></font><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SE_ECL_NUT</span></font></font></font>
	for both birth dates and calculate the average of both<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>eps.</b></font></font></p>
	<p style="margin-right: -0.02in">Note that<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>tjd_ut</b></font></font>
	must be <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Universal
	Time</span></font></font></font>, whereas planets are computed from
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Ephemeris
	Time</span></font></font></font></p>
	<p lang="fr-FR" style="margin-right: -0.02in; text-indent: 0.49in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_et
	= tjd_ut + delta_t(tjd_ut). </font></font></font>
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477862337"></a>Also
	note that the array <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>cusps</b></font></font>
	must provide space for <font color="#800000"><b>13 doubles </b></font>(declare
	as <font color="#800000"><b>cusp[13]</b></font>), otherwise you risk
	a program crash. With house system &lsquo;G&rsquo; (Gauquelin sector
	cusps), declare it as <font color="#800000"><b>cusp[37]</b></font>.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Note: With house system &lsquo;G&rsquo;,
	the cusp numbering is in clockwise direction.</p>
	<p style="margin-right: -0.02in"> 
	</p>
	<p style="margin-right: -0.02in">The extended house function
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_ex()</span></font></font></font>
	does exactly the same calculations as <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses()</span></font></font></font>.
	The difference is that <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_ex()</span></font></font></font>
	has a parameter <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>,
	which can be set to <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SEFLG_SIDEREAL</font></font></font>,
	if  <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sidereal</span></font></font></font><span style="text-transform: uppercase"><font color="#800000"><b>
	</b></font></span>house positions are wanted. Before calling
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_ex()</span></font></font></font>
	for sidereal house positions, the sidereal mode can be set by
	calling the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_sid_mode()</span></font></font></font>.
	If this is not done, the default sidereal mode, i.e. the
	Fagan/Bradley <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ayanamsha,</span></font></font></font>
	will be used. 
	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477862421"></a>There
	is no extended function for <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_armc()</span></font></font></font>.
	Therefore, if you want to compute such obscure things as sidereal
	composite house cusps, the procedure will be more complicated: 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	sidereal composite house computation; with true epsilon, but without
	nutation in longitude */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_calc</b>(tjd_et1,
	SE_ECL_NUT, 0, x1, serr);</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_calc</b>(tjd_et2,
	SE_ECL_NUT, 0, x2, serr);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">armc1
	= <b>swe_sidtime</b>(tjd_ut1) * 15;	</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">armc2
	= <b>swe_sidtime</b>(tjd_ut2) * 15;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">armc_comp
	= <b>composite</b>(armc1, armc2); /* this is a function created by
	the user */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eps_comp
	= (x1[0] + x2[0]) / 2;</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">nut_comp
	= (x1[2] + x2[2]) / 2;</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd_comp
	= (tjd_et1 + tjd_et2) / 2;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">aya
	= <b>swe_get_ayanamsa</b>(tjd_comp);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><b>swe_houses_armc</b>(armc_comp,
	geolat, eps_comp, hsys, cusps, ascmc);</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">for
	(i = 1; i &lt;= 12; i++)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">cusp[i]
	= </span><span lang="da-DK"><b>swe_degnorm</b></span><span lang="da-DK">(cusp[i]
	&ndash; aya &ndash; nut_comp);</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">for
	(i = 0; i &lt; 10; i++)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">ascmc[i]
	= </span><span lang="da-DK"><b>swe_degnorm</b></span><span lang="da-DK">(asc_mc[i]
	&ndash; aya &ndash; nut_comp);</span></font></font></font></p>
	<p lang="da-DK" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Output and input parameters.</p>
	<p style="margin-right: -0.02in">The first array element <b>cusps[0]</b>
	is always 0, the twelve houses follow in <b>cusps[1] .. [12]</b>,
	the reason being that arrays in C begin with the index 0. The
	indices are therefore: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477862529"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusps[0]
	= 0</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusps[1]
	= house 1</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusps[2]
	= house 2</font></font></font></p>
	<p class="western">etc.</p>
	<p><br/>

	</p>
	<p class="western">In the array <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ascmc</b></font></font><b>,</b>
	the function returns the following values: 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477862569"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[0]
	= 	Ascendant</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[1]
	=	MC</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[2]
	=	ARMC</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[3]
	=	Vertex</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[4]
	=	&quot;equatorial ascendant&quot;</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[5]
	=	&quot;co-ascendant&quot; (Walter Koch)</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[6]
	=	&quot;co-ascendant&quot; (Michael Munkasey)</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ascmc[7]
	=	&quot;polar ascendant&quot; (M. Munkasey)</font></font></font></p>
	<p lang="it-IT" class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<br/>

	</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	The following defines can be used to find these values:</p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ASC		0</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_MC		1</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_ARMC		2</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_VERTEX		3</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_EQUASC  		4	/* &quot;equatorial ascendant&quot; */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_COASC1		5	/* &quot;co-ascendant&quot; (W. Koch) */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_COASC2		6	/* &quot;co-ascendant&quot; (M. Munkasey) */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_POLASC		7	/* &quot;polar ascendant&quot; (M. Munkasey) */</font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	SE_NASCMC		8</font></font></font></p>
	<p lang="it-IT" class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<br/>

	</p>
	<p class="western"><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ascmc</b></font></font><b>
	</b>must be an array of <font color="#800000"><b>10 doubles</b></font>.
	<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>ascmc[8...
	9]</b></font></font> are 0 and may be used for additional points in
	future releases.</p>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">The following house systems are
	implemented so far</p>
	<p><a name="_Hlk477862719"></a><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">hsys
	= 	&lsquo;P&rsquo;	Placidus</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;K&rsquo;	Koch</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;O&rsquo;	Porphyrius</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;R&rsquo;	Regiomontanus</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;C&rsquo;	Campanus</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;A&rsquo;
	or &lsquo;E&rsquo;	Equal (cusp 1 is Ascendant)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;V&rsquo;	Vehlow
	equal (Asc. in middle of house 1)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;W&rsquo;	Whole
	sign </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;X&rsquo;	axial
	rotation system / meridian system / zariel</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;H&rsquo;	azimuthal
	or horizontal system</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;T&rsquo;	Polich/Page
	(&ldquo;topocentric&rdquo; system)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="it-IT">&lsquo;B&rsquo;	Alcabitus</span></font></font></font></p>
	<p lang="it-IT" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;M&rsquo;	Morinus</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">	</span><span lang="fr-FR">&lsquo;U&rsquo;	Krusinski-Pisa</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	&lsquo;G&rsquo;	Gauquelin
	sectors</font></font></font></p>
	<p lang="fr-FR" style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477864194"></a>Placidus
	and Koch house cusps <font color="#800000"><b>cannot be computed
	beyond the polar circle</b></font>. In such cases,<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swe_houses() </span></font></font></font>switches to Porphyry houses
	(each quadrant is divided into three equal parts) and returns the
	error code ERR. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477861184"></a>The
	<b>Vertex</b> is the point on the ecliptic that is located in
	precise <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">western</span></font></font></font>
	direction. The opposition of the <b>Vertex </b>is the <b>Antivertex,</b>
	the ecliptic east point. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="13">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636016"></a>
			13. The sign of geographical longitudes in Swisseph functions</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">There is a disagreement between
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">American</span></font></font></font>
	and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>European</b></font></font>
	programmers whether eastern or western geographical longitudes ought
	to be considered positive. Americans prefer to have West longitudes
	positive, Europeans prefer the older tradition that considers East
	longitudes as positive and West longitudes as negative. 
	</p>
	<p style="margin-right: -0.02in">The <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Astronomical
	Almanac</span></font></font></font> still follows the European
	pattern. It gives the geographical coordinates of observatories in
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&quot;East
	longitude&quot;</span></font></font></font>.</p>
	<p style="margin-right: -0.02in">The Swiss Ephemeris also follows
	the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">European
	style</span></font></font></font>. All Swiss Ephemeris functions
	that use geographical coordinates consider <b>positive geographical
	longitudes as East</b><i> </i>and <b>negative ones as West</b>. 
	</p>
	<p style="margin-right: -0.02in">E.g. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">87w39
	= -87.65&deg;</font></font></font> (Chicago IL/USA) and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">8e33
	= +8.55&deg;</font></font></font> (Zurich, Switzerland).</p>
	<p style="margin-right: -0.02in">There is no such controversy about
	northern and southern geographical latitudes. North is always
	positive and south is negative.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="14">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636017"></a>
			14. Getting the house position of a planet with swe_house_pos()</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">To compute the house position of a
	given body for a given ARMC, you may use the 
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477862955"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_house_pos(</b></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	armc, 		/* ARMC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps, 		/* ecliptic obliquity, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*xpin, 	/* array of 2 doubles: ecl. longitude and latitude of the
	planet */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return area for error or warning message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">The variables <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>armc,
	geolat, eps</b></font></font><b>,</b> and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>xpin[0]</b></font></font><b>
	</b>and <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>xpin[1]</b></font></font><i>
	</i>(ecliptic longitude and latitude of the planet) must be in
	degrees. <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>serr</b></font></font>
	must, as usually, point to a character array of 256 byte. 
	</p>
	<p style="margin-right: -0.02in">The function returns a value
	between 1.0 and 12.999999, indicating in which house a planet is and
	how far from its cusp it is. 
	</p>
	<p style="margin-right: -0.02in">With house system &lsquo;G&rsquo;
	(Gauquelin sectors), a value between 1.0 and 36.9999999 is returned.
	Note that, while all other house systems number house cusps in
	counterclockwise direction, Gauquelin sectors are numbered in
	clockwise direction. 
	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><a name="_Hlk477864273"></a>With
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Koch</span></font></font></font>
	houses, the function sometimes <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">returns
	0</span></font></font></font>, if the computation was not possible.
	This happens most often in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">polar
	regions</span></font></font></font>, but it can happen at latitudes
	<font color="#800000"><b>below 66&deg;33&rsquo;</b></font> as well,
	e.g. if a body has a high declination and falls within the
	circumpolar sky. With circumpolar fixed stars (or asteroids) a Koch
	house position may be impossible at any geographic location except
	on the equator.</p>
	<p style="margin-right: -0.02in">The user must decide how to deal
	with this situation.</p>
	<p style="margin-right: -0.02in">You can use the house positions
	returned by this function for house horoscopes (or &rdquo;mundane&rdquo;
	positions). For this, you have to transform it into a value between
	0 and 360 degrees. Subtract 1 from the house number and multiply it
	with 30, or <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">mund_pos
	= (hpos &ndash; 1) * 30;</font></font></font></p>
	<p lang="es-ES"><br/>

	</p>
	<p style="margin-right: -0.02in">You will realize that house
	positions computed like this, e.g. for the Koch houses, will not
	agree exactly with the ones that you get applying the Huber &rdquo;hand
	calculation&rdquo; method. If you want a better agreement, set the
	ecliptic latitude <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>xpin[1]=
	0</b></font></font><i>;</i>. Remaining differences result from the
	fact that Huber&rsquo;s hand calculation is a simplification,
	whereas our computation is geometrically accurate.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This function requires <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">TROPICAL</span></font></font></font>
	positions in<b> </b><font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>xpin</b></font></font>.
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SIDEREAL</span></font></font></font>
	house positions are identical to tropical ones in the following
	cases:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">If the traditional method is
		used to compute sidereal planets (<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">sid_pos
		= trop_pos &ndash; ayanamsha</font></font></font>). Here the
		function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_house_pos()
		</span></font></font></font>works for all house systems.</p>
		<li/>
<p style="margin-right: -0.02in"><a name="_Hlk477864373"></a>If
		a non-traditional method (projection to the ecliptic of t0 or to
		the solar system rotation plane) is used and the definition of the
		house system does not depend on the ecliptic. This is the case with
		<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Campanus,
		Regiomontanus, Placidus, Azimuth</span></font></font></font>
		houses<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">,
		axial rotation</span></font></font></font> houses. This is NOT the
		case with <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">equal
		houses, Porphyry and Koch houses</span></font></font></font>. You
		have to compute equal and Porphyry house positions on your own. <font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">We
		recommend to avoid Koch</span></b></font></font> houses here.
		Sidereal Koch houses make no sense with these sidereal algorithms. 
		</p>
		<li/>
<p style="margin-right: -0.02in">Alcabitus is not yet
		supported in release 1.61.01</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="15">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636018"></a>
			14.1. Calculating the Gauquelin sector position of a planet with
			swe_house_pos() or swe_gauquelin_sector() 
			</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">For general information on
	Gauquelin sectors, read chapter 6.5 in documentation file
	swisseph.doc.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There are two functions that can be
	used to calculate Gauquelin sectors: 
	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">swe_house_pos. Full details
		about this function are presented in the previous section. To
		calculate Gauquelin sectors the parameter hsys must be set to 'G'
		(Gauquelin sectors). This function will then return the sector
		position as a value between 1.0 and 36.9999999. Note that Gauquelin
		sectors are numbered in clockwise direction, unlike all other house
		systems. 
		</p>
		<li/>
<p style="margin-right: -0.02in">swe_gauquelin_sector -
		detailed below.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">Function swe_gauquelin_sector() is
	declared as follows:</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_gauquelin_sector(</b></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet, or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 	/* flag for ephemeris and SEFLG_TOPOCTR */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	imeth, 	/* method: 0 = with lat., 1 = without lat., </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			/*
	             2 = from rise/set, 3 = from rise/set with refraction */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* geograph. long., lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress,  	/* atmospheric pressure, only useful with imeth=3; </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 * if 0, default = 1013.25 mbar is used*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,  	/* atmospheric temperature in degrees Celsius, only useful
	with imeth=3 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dgsect,		/* return address for gauquelin sector position */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return address for error message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">This function returns OK or ERR
	(-1). It returns an error in a number of cases, for example
	circumpolar bodies with imeth=2. As with other SE functions, if
	there is an error, an error message is written to serr. dgsect is
	used to obtain the Gauquelin sector sector position as a value
	between 1.0 and 36.9999999. Gauquelin sectors are numbered in
	clockwise direction.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">There are six methods of computing
	the Gauquelin sector position of a planet:</p>
	<p style="margin-right: -0.02in">1. Sector positions from ecliptical
	longitude AND latitude:</p>
	<p style="margin-right: -0.02in">    There are two ways of doing
	this: 
	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_house_pos() with
		hsys = 'G', xpin[0] = ecliptical longitude of planet, and xpin[1] =
		ecliptical 
		</p>
	</ul>
	<p style="margin-left: 0.2in; margin-right: -0.02in; text-indent: 0.29in">
	latitude. This function returns the sector position as a value
	between 1.0 and 36.9999999.</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth=0. This is less efficient than swe_house_pos because it 
		</p>
	</ul>
	<p style="margin-left: 0.2in; margin-right: -0.02in">		recalculates
	the whole planet whereas swe_house_pos() has an input array for
	ecliptical positions 
	</p>
	<p style="margin-left: 0.2in; margin-right: -0.02in">		calculated
	before.</p>
	<p style="margin-right: -0.02in; text-indent: -0.05in"><br/>

	</p>
	<p style="margin-right: -0.02in">2. Sector positions computed from
	ecliptical longitudes without ecliptical latitudes:</p>
	<p style="margin-right: -0.02in">    There are two ways of doing
	this: 
	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_house_pos() with
		hsys = 'G', xpin[0] = ecl. longitude of planet, and xpin[1] = 0.
		This function 
		</p>
	</ul>
	<p style="margin-left: 0.2in; margin-right: -0.02in; text-indent: 0.29in">
	returns the sector position as a value between 1.0 and 36.9999999. 
	</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth=1. Again this is less efficient than swe_house_pos.</p>
	</ul>
	<p style="margin-right: -0.02in; text-indent: -0.05in"><br/>

	</p>
	<p style="margin-right: -0.02in">3. Sector positions of a planet
	from rising and setting times of planets.</p>
	<p style="margin-right: -0.02in">    The rising and setting of the
	disk center is used:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth=2. 
		</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">4. Sector positions of a planet
	from rising and setting times of planets, taking into account
	atmospheric refraction. 
	</p>
	<p style="margin-right: -0.02in">    The rising and setting of the
	disk center is used:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth = 3. 
		</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">5. Sector positions of a planet
	from rising and setting times of planets.</p>
	<p style="margin-right: -0.02in">    The rising and setting of the
	disk edge is used:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth=4.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in">6. Sector positions of a planet
	from rising and setting times of planets, taking into account
	atmospheric refraction.</p>
	<p style="margin-right: -0.02in">    The rising and setting of the
	disk edge is used:</p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">Call swe_gauquelin_sector()
		with imeth = 5.</p>
	</ul>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol start="16">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636019"></a>
			15. Sidereal time with swe_sidtime() and swe_sidtime0()</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><a name="_Hlk477864589"></a>The
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sidereal
	time</span></font></font></font> is computed inside the <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">houses()
	</span></font></font></font>function and returned via the variable
	<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>armc</b></font></font>
	which measures sidereal time in degrees. To get sidereal time in
	hours, divide <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>armc</b></font></font><b>
	</b>by 15. 
	</p>
	<p style="margin-right: -0.02in">If the sidereal time is required
	separately from house calculation, two functions are available. The
	second version requires obliquity and nutation to be given in the
	function call, the first function computes them internally. Both
	return sidereal time at the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Greenwich
	Meridian</span></font></font></font>, measured in hours.</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477864660"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_sidtime</b>(double tjd_ut); 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk477864667"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_sidtime0</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps, 		/* obliquity of ecliptic, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	nut);		/* nutation in longitude, in degrees */</font></font></font></p>
	<p style="page-break-before: always"><br/>

	</p>
	<ol>
		<ol start="17">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636020"></a>
			16. Summary of SWISSEPH functions</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636021"></a>
				16.1. Calculation of planets and stars</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636022"></a>
					Planets, moon, asteroids, lunar nodes, apogees, fictitious
					bodies</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_calc_ut</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut,	/* Julian day number, Universal Time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">int
	ipl, 		/* planet number */</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	long
	iflag, 	/* flag bits */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">	</span>double
	*xx,       	/* target address for 6 position values: longitude,
	latitude, distance,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	long. speed, lat. speed, dist. speed */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">char
	*serr);	/* 256 bytes for error string */</span></font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_calc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_et, 	/* Julian day number, Ephemeris Time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">int
	ipl, 		/* planet number */</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	long
	iflag, 	/* flag bits */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">	</span>double
	*xx,	/* target address for 6 position values: longitude, latitude,
	distance,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			long.
	speed, lat. speed, dist. speed */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">char
	*serr);	/* 256 bytes for error string */</span></font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636023"></a>
					Fixed stars</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_fixstar_ut</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	char
	*star,		/* star name, returned star name 40 bytes */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, Universal Time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">long
	iflag, 	/* flag bits */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">	</span>double
	*xx,      	 /* target address for 6 position values: longitude,
	latitude, distance,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">					long.
	speed, lat. speed, dist. speed */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">char
	*serr);	/* 256 bytes for error string */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">long
	<b>swe_fixstar</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	char
	*star,		/* star name, returned star name 40 bytes */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_et, 	/* Julian day number, Ephemeris Time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">long
	iflag, 	/* flag bits */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">	</span>double
	*xx,     	/* target address for 6 position values: longitude,
	latitude, distance,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	long. speed, lat. speed, dist. speed */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="da-DK">char
	*serr);	/* 256 bytes for error string */</span></font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636024"></a>
					Set the geographic location for topocentric planet computation</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_set_topo</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolon, 	/* geographic longitude */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	altitude);	/* altitude above sea */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636025"></a>
					Set the sidereal mode for sidereal planet positions</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_set_sid_mode</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="fr-FR">int32
	sid_mode,</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	t0,		/* reference epoch */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	ayan_t0);	/* initial ayanamsha at t0 */</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	to get the ayanamsha for a date */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	</span><span lang="fr-FR"><b>swe_get_ayanamsa</b></span><span lang="fr-FR">(double
	tjd_et);</span></font></font></font></p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636026"></a>
				16.2 Eclipses and planetary phenomena</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636027"></a>
					Find the next eclipse for a given geographic position</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_when_loc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 		/* 3 doubles for geo. lon, lat, height */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font face="Courier New, monospace">			</font>
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 		/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636028"></a>
					Find the next eclipse globally</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_when_glob</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 		/* eclipse type wanted: SE_ECL_TOTAL etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 		/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636029"></a>
					Compute the attributes of a solar eclipse for a given tjd,
					geographic long., latit. and height</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_how</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 		/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,   	/* geogr. longitude, latitude, height */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font face="Courier New, monospace">			</font>
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636030"></a>
					Find out the geographic position where a central eclipse is
					central or a non-central one maximal</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_sol_eclipse_where</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 		/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 			/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,		/* return array, 2 doubles, geo. long. and lat. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">or
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_where </b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* return array, 2 doubles, geo. long. and lat.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="5">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636031"></a>
					Find the next occultation of a body by the moon for a given
					geographic position</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(can
	also be used for solar eclipses )</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_when_loc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* 3 doubles for geo. lon, lat, height eastern longitude
	is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,  northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="6">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636032"></a>
					Find the next occultation globally</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">(can
	also be used for solar eclipses )</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_occult_when_glob</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 	/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	starname, 	/* star name, must be NULL or &rdquo;&rdquo; if not a
	star */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 	/* ephemeris flag */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 	/* eclipse type wanted */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* 3 doubles for geo. lon, lat, height eastern longitude
	is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,  northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 	/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 	/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="7">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636033"></a>
					Find the next lunar eclipse</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_eclipse_when</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_start, 	/* start date for search, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 			/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifltype, 		/* eclipse type wanted: SE_ECL_TOTAL etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret, 		/* return array, 10 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">AS_BOOL
	backward, 	/* TRUE, if backward search */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="8">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636034"></a>
					Compute the attributes of a lunar eclipse at a given time</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_lun_eclipse_how</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 		/* time, Jul. day UT */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ifl, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 		/* input array, geopos, geolon, geoheight */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	 western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	 northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="9">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636035"></a>
					Compute risings, settings and meridian transits of a body</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_rise_trans</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	epheflag, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	rsmi,		/* integer specifying that rise, set, or one of the two
	meridian transits is</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">				
	 wanted. see definition below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing geograph. long.,
	lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar/hPa */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	/* atmospheric temperature in deg. C */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret,	/* return address (double) for rise time etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return address for error message */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_rise_trans_true_hor</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p lang="de-CH" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	epheflag, 	/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	rsmi,		/* integer specifying that rise, set, orone of the two
	meridian transits is</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	wanted. see definition below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* geograph. long., lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar/hPa */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	/* atmospheric temperature in deg. C */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	horhgt,	/* height of local horizon in deg at the point where the
	body rises or sets*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tret,		/* return address (double) for rise time etc. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return address for error message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="10">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636036"></a>
					Compute planetary phenomena</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	<b>swe_pheno_ut</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 		/* time Jul. Day UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	swe_pheno(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_et, 		/* time Jul. Day ET */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 		/* ephemeris flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*attr, 		/* return array, 20 doubles, see below */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return error string */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_azalt</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	tjd_ut,	/* UT */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="pt-BR">int32
	calc_flag,	/* SE_ECL2HOR or SE_EQU2HOR */</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* array of 3 doubles: geogr. long., lat., height */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress,	/* atmospheric pressure in mbar (hPa) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,	/* atmospheric temperature in degrees Celsius */</font></font></font></p>
	<p style="margin-left: 1.94in; text-indent: -1.54in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xin, 	/* array of 3 doubles: position of body in either  ecliptical
	or equatorial coordinates,  depending on calc_flag */</font></font></font></p>
	<p style="margin-left: 1.94in; text-indent: -1.54in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xaz); 	/* return array of 3 doubles, containing azimuth, true
	altitude, apparent altitude */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_azalt_rev</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	tjd_ut,</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	calc_flag,	/* either SE_HOR2ECL or SE_HOR2EQU */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos,	/* array of 3 doubles for geograph. pos. of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xin, 		/* array of 2 doubles for azimuth and true altitude of
	planet */</font></font></font></p>
	<p style="margin-left: 1.94in; text-indent: -1.54in"><font color="#000080">
	     <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xout); 	/* return array of 2 doubles for either ecliptic or
	equatorial coordinates, depending on calc_flag */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	swe_refrac(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	inalt, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress, 	/* atmospheric pressure in mbar (hPa) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp, 	/* atmospheric temperature in degrees Celsius */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	calc_flag);	/* either SE_TRUE_TO_APP or SE_APP_TO_TRUE */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636037"></a>
				16.3. Date and time conversion</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636038"></a>
					Delta T from Julian day number 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	Ephemeris time (ET) = Universal time (UT) + swe_deltat(UT)*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">double
	</span><span lang="fr-FR"><b>swe_deltat</b></span><span lang="fr-FR">(double
	tjd);</span></font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636039"></a>
					Julian day number from year, month, day, hour, with check
					whether date is legal</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*Return
	value: OK or ERR  */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_date_conversion</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	y , int m , int d ,	/* year, month, day */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	    <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	hour, 			/* hours (decimal, with fraction) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	    <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	char
	c,  			/* calendar &lsquo;g&rsquo;[regorian]|&rsquo;j&rsquo;[ulian]
	*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*tjd);			/* target address for Julian day */ </font></font></font>
	</p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636040"></a>
					Julian day number from year, month, day, hour</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_julday</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	year, int month, int day, double hour, </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	gregflag);	/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636041"></a>
					Year, month, day, hour from Julian day number</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	s<b>we_revjul</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd, 	/* Julian day number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	gregflag,	/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	*year,		/* target addresses for year, etc. */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	*month, int *day, double *hour);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="5">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636042"></a>
					Local time to UTC and UTC to local time 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	transform local time to UTC or UTC to local time</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	input:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  iyear ... dsec     date and time</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  d_timezone         timezone offset</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output:</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	  iyear_out ... dsec_out</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For time zones east of Greenwich, d_timezone is positive.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For time zones west of Greenwich, d_timezone is negative.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For conversion from local time to utc, use +d_timezone.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	For conversion from utc to local time, use -d_timezone.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	FAR PASCAL_CONV swe_utc_timezone(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iyear, int32 imonth, int32 iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">int32
	ihour, int32 imin, double dsec,</span></font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	d_timezone,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	*iyear_out, int32 *imonth_out, int32 *iday_out,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	*ihour_out, int32 *imin_out, double *dsec_out</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="6">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636043"></a>
					UTC to jd (TT and UT1) 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: date and time (wall clock time), calendar flag.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: an array of doubles with Julian Day number in ET (TT) and UT
	(UT1)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	            an error message (on error)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	<span lang="en-GB">The function returns OK or ERR.</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*/
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_utc_to_jd</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int32
	iyear, int32 imonth, int32 iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	ihour, int32 imin, double dsec,   /* note&nbsp;: second is a decimal
	*/</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	dret	/*
	return array, two doubles:</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* dret[0] = Julian day in ET (TT)</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* dret[1] = Julian day in UT (UT1) */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	serr	/*
	error string */</font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="7">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636044"></a>
					TT (ET1) to UTC 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: Julian day number in ET (TT), calendar flag</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: year, month, day, hour, min, sec in UTC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_jdet_to_utc</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">double
	tjd_et,	/* Julian day number in ET (TT) */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">	</span>int32
	*iyear, int32 *imonth, int32 *iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	*ihour, int32 *imin, double *dsec,   /* note&nbsp;: second is a
	decimal */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="8">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636045"></a>
					UTC to TT (ET1)</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	input: Julian day number in UT (UT1), calendar flag</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">*
	output: year, month, day, hour, min, sec in UTC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_jdut1_to_utc</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">double
	tjd_ut,	/* Julian day number in ET (TT) */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	gregflag,
		/* Gregorian calendar: 1, Julian calendar: 0 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="en-GB">	</span>int32
	*iyear, int32 *imonth, int32 *iday,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="en-GB">int32
	*ihour, int32 *imin, double *dsec,   /* note&nbsp;: second is a
	decimal */</span></font></font></font></p>
	<p lang="en-GB" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="9">
					<li/>
<h4 class="western" style="text-indent: 0in"></h4>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636046"></a>
					Get tidal acceleration used in swe_deltat()</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_get_tid_acc</b>(void); </font></font></font>
	</p>
	<ol>
		<ol>
			<ol>
				<ol start="11">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636047"></a>
					Set tidal acceleration to be used in swe_deltat()</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_set_tid_acc</b>(double t_acc);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="12">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636048"></a>
					Equation of time</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/
	* function returns the difference between local apparent and local
	mean time.</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="it-IT">e
	= LAT &ndash; LMT.  </span>tjd_et is ephemeris time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="fr-FR">int
	</span><span lang="fr-FR"><b>swe_time_equ</b></span><span lang="fr-FR">(double
	tjd_et, double *e, char *serr);</span></font></font></font></p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636049"></a>
				16.4. Initialization, setup, and closing functions</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636050"></a>
					Set directory path of ephemeris files</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_set_ephe_path</b>(char *path);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	set name of JPL ephemeris file */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_set_jpl_file</b>(char *fname);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	close Swiss Ephemeris */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_close</b>(void);</font></font></font></p>
	<ol>
		<ol>
			<ol start="5">
				<li/>
<h3 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365636051"></a>
				16.5. House calculation</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636052"></a>
					Sidereal time</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_sidtime</b>(double tjd_ut); 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_sidtime0</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps, 	/* obliquity of ecliptic, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	nut);	/* nutation, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636053"></a>
					Name of a house method</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	* <b>swe_house_name</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, ascii code of one of the letters
	PKORCAEVXHTBG */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	);
	</font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636054"></a>
					House cusps, ascendant and MC</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolon, 	/* geographic longitude, in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double*
	cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double*
	ascmc);	/* array for 10 doubles */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636055"></a>
					Extended house function; to compute tropical or sidereal
					positions</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses_ex</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* Julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int32
	iflag, 		/* 0 or SEFLG_SIDEREAL or SEFLG_RADIANS */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolon, 	/* geographic longitude, in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double*
	cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double*
	ascmc);	/* array for 10 doubles */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses_armc</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	armc, 	/* ARMC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps, 	/* ecliptic obliquity, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*cusps, 	/* array for 13 doubles */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*ascmc);	/* array for 10 doubles */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="5">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636056"></a>
					Get the house position of a celestial point</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_house_pos</b> (</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	armc, 	/* ARMC */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font face="Courier New, monospace">	</font>		
	 eastern longitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 western longitude is negative,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 northern latitude is positive,</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 southern latitude is negative */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps, 	/* ecliptic obliquity, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	int
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*xpin, 	/* array of 2 doubles: ecl. longitude and latitude of the
	planet */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	       <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);	/* return area for error or warning message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="6">
					<li/>
<h4 class="western" style="text-indent: 0in"></h4>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636057"></a>
					Get the Gauquelin sector position for a body 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_gauquelin_sector(</b></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd_ut, 	/* search after this time (UT) */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	ipl, 		/* planet number, if planet, or moon */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*starname, 	/* star name, if star */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	iflag, 	/* flag for ephemeris and SEFLG_TOPOCTR */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int32
	imeth, 	/* method: 0 = with lat., 1 = without lat., </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			/*
	             2 = from rise/set, 3 = from rise/set with refraction */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*geopos, 	/* array of three doubles containing</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	* geograph. long., lat., height of observer */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	atpress,  	/* atmospheric pressure, only useful with imeth=3; </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">			
	 * if 0, default = 1013.25 mbar is used*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	attemp,  	/* atmospheric temperature in degrees Celsius, only useful
	with imeth=3 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*dgsect,		/* return address for gauquelin sector position */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	*serr);		/* return address for error message */</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<p style="margin-right: -0.02in; page-break-before: always"><br/>

	</p>
	<ol>
		<ol>
			<ol start="6">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636058"></a>
				16.6. Auxiliary functions</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636059"></a>
					Coordinate transformation, from ecliptic to equator or
					vice-versa</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">equator
	-&gt; ecliptic	: eps must be positive </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ecliptic
	-&gt; equator  	: eps must be negative eps, longitude and latitude
	are in degrees! */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111295"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_cotrans</b>(</font></font></font></p>
	<p style="margin-left: 1.94in; text-indent: -1.54in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*xpo, 	/* 3 doubles: long., lat., dist. to be converted; distance
	remains unchanged, can be set to 1.00 */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	<span lang="fr-FR">double
	*xpn, 	/* 3 doubles: long., lat., dist. </span>Result of the
	conversion */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps);	/* obliquity of ecliptic, in degrees. */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636060"></a>
					Coordinate transformation of position and speed, from ecliptic
					to equator or vice-versa</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/
	* equator -&gt; ecliptic		: eps must be positive</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ecliptic
	-&gt; equator  	: eps must be negative </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	 <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">eps,
	long., lat., and speeds in long. and lat. are in degrees! */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111388"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	<b>swe_cotrans_sp</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*xpo, 	/* 6 doubles, input: long., lat., dist. and speeds in long.,
	lat and dist. */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*xpn, 	/* 6 doubles, position and speed in new coordinate system */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	eps);	/* obliquity of ecliptic, in degrees. */</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636061"></a>
					Get the name of a planet</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	swe_get_planet_name(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	ipl,	 		/* planet number */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	plan_name);	/* address for planet name, at least 20 char */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	normalization of any degree number to the range 0 ... 360 */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111399"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	<b>swe_degnorm</b>(double x);</font></font></font></p>
	<p style="margin-right: -0.02in"><br/>

	</p>
	<ol>
		<ol>
			<ol start="7">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636062"></a>
				16.7. Other functions that may be useful</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in; text-indent: 0.49in"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">PLACALC</span></font></font></font>,
	the predecessor of <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SWISSEPH</span></font></font></font>,
	had included several functions that we do not need for SWISSEPH
	anymore. Nevertheless we include them again in our DLL, because some
	users of our software may have taken them over and use them in their
	applications. However, we gave them new names that were more
	consistent with SWISSEPH.</p>
	<p style="margin-right: -0.02in; text-indent: 0.49in"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">PLACALC
	</span></font></font></font>used angular measurements in
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">centiseconds</span></font></font></font>
	a lot; a centisecond is <b>1/100</b> of an <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">arc
	second</span></font></font></font>. The C type <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">CSEC</span></font></font></font>
	or <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">centisec</span></font></font></font>
	is a 32-bit integer. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">CSEC</span></font></font></font>
	was used because calculation with integer variables was considerably
	faster than floating point calculation on most CPUs in 1988, when
	PLACALC was written.</p>
	<p style="margin-right: -0.02in">In the Swiss Ephemeris we have
	dropped the use of centiseconds and use double (64-bit floating
	point) for all angular measurements.</p>
	<ol>
		<ol>
			<ol>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636063"></a>
					Normalize argument into interval [0..DEG360] 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/
	* former function name: csnorm() */ </font></font></font>
	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111710"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 centisec FAR PASCAL_CONV EXP16 <b>swe_csnorm</b>(centisec p);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636064"></a>
					Distance in centisecs p1 - p2 normalized to [0..360] 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/
	* former function name: difcsn() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111870"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 centisec FAR PASCAL_CONV EXP16 <b>swe_difcsn</b>(centisec p1,
	centisec p2);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636065"></a>
					Distance in degrees</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: difdegn() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111884"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 double FAR PASCAL_CONV EXP16 <b>swe_difdegn</b> (double p1,
	double p2);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="4">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636066"></a>
					Distance in centisecs p1 - p2 normalized to [-180..180] 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: difcs2n() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111918"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 centisec FAR PASCAL_CONV EXP16 <b>swe_difcs2n</b>(centisec p1,
	centisec p2);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; page-break-before: always">
	<br/>

	</p>
	<ol>
		<ol>
			<ol>
				<ol start="5">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636067"></a>
					Distance in degrees</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: difdeg2n() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111928"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 double FAR PASCAL_CONV EXP16 <b>swe_difdeg2n</b>(double p1,
	double p2);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="6">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636068"></a>
					Round second, but at 29.5959 always down 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	<font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: roundsec() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111937"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 centisec FAR PASCAL_CONV EXP16 <b>swe_csroundsec</b>(centisec
	x);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="7">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636069"></a>
					Double to long with rounding, no overflow check 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: d2l() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111943"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 long FAR PASCAL_CONV EXP16 <b>swe_d2l</b>(double x);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="8">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636070"></a>
					Day of week 
					</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*Monday
	= 0, ... Sunday = 6  former function name: day_of_week() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478111951"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 int FAR PASCAL_CONV EXP16 <b>swe_day_of_week</b>(double jd);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="9">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636071"></a>
					Centiseconds -&gt; time string</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: TimeString() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478112061"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 char *FAR PASCAL_CONV EXP16 <b>swe_cs2timestr</b>(CSEC t, int
	sep, AS_BOOL suppressZero, char *a);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="10">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636072"></a>
					Centiseconds -&gt; longitude or latitude string</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: LonLatString() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478112074"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 char *FAR PASCAL_CONV EXP16 <b>swe_cs2lonlatstr</b>(CSEC t,
	char pchar, char mchar, char *s);</font></font></font></p>
	<ol>
		<ol>
			<ol>
				<ol start="11">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636073"></a>
					Centiseconds -&gt; degrees string</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	former function name: DegreeString() */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><a name="_Hlk478112081"></a>
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">extern
	EXP32 char *FAR PASCAL_CONV EXP16 <b>swe_cs2degstr</b>(CSEC t, char
	*a);</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<ol>
		<ol start="18">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636074"></a>
			17. The SWISSEPH DLLs</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">There is a 32 bit
	DLL:	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">	swedll32.dll</span></font></font></font></p>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">You can use our programs <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest.c</span></font></font></font><i>
	</i>and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.c</span></font></font></font><i>
	</i>as examples.To compile <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest</span></font></font></font><i>
	</i>or <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin</span></font></font></font>
	with a DLL:</p>
	<p><br/>

	</p>
	<p>1. The compiler needs the following files:</p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest.c</span></font></font></font><i>
	</i>or<i> </i><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.c</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.dll</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.lib</span></font></font></font>	(if
	you choose implicit linking)</p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll.h</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweodef.h</span></font></font></font></p>
	<p><br/>

	</p>
	<p>2. Define the following macros (-d):</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">USE_DLL</font></font></font></p>
	<p>3. Build <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest.exe</span></font></font></font>
	from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest.c</span></font></font></font><i>
	</i>and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.lib</span></font></font></font>.
		</p>
	<p style="margin-bottom: 0.08in">    Build <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.exe</span></font></font></font>
	from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.c</span></font></font></font>,<i>
	</i><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.rc</span></font></font></font>,
	and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.lib</span></font></font></font></p>
	<p style="margin-bottom: 0.08in">We provide some project files which
	we have used to build our test samples. You will need to adjust the
	project files to your environment.</p>
	<p style="margin-bottom: 0.08in">We have worked with <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Microsoft
	Visual C++ 5.0</span></font></font></font> (32-bit). The DLLs where
	built with the Microsoft compilers. 
	</p>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636075"></a>
				17.1 DLL Interface for brain damaged compilers</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">If you work with <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">GFA-Basic</span></font></font></font>
	or some other brain damaged language, the problem will occur that
	the DLL interface does not support 8-bit, 32-bit, double by value
	and VOID data or function types. Therefore, we have written a set of
	modified functions that use <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	pointers</font></font></font> instead of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">doubles,
	character pointers</font></font></font><i> </i>instead of
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">characters,</font></font></font>
	and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">integers</font></font></font><i>
	</i>instead of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void</font></font></font><i>.
	</i>The names of these modified functions are the same as the names
	of their prototypes, except that they end with <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">&rdquo;_d&rdquo;</font></font></font>,
	e.g. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc_d()</span></font></font></font>
	instead of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>.The
	export definitions of these functions can be found in file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swedll.h.</span></font></font></font> We do not repeat them here to
	avoid confusion with the ordinary functions described in the
	preceding chapters. The additional functions are only wrapper
	functions, i.e. they call internally the real DLL functions and
	return the same results.</p>
	<p class="western"><br/>

	</p>
	<p><b>Swiss Ephemeris release 1.61 is the last release for which
	16-bit compilers have been supported and for which a 16-bit DLL has
	been created.</b></p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="19">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636076"></a>
			18. Using the DLL with  Visual Basic 5.0</h2>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">The 32-bit DLL contains the exported function
	under 'decorated names'. Each function has an underscore before its
	name, and a suffix of the form <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">@xx</font></font></font>
	 where <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xx</font></font></font>
	is the number of stack bytes used by the call.</p>
	<p class="western"><br/>

	</p>
	<p class="western">The Visual Basic declarations for the DLL
	functions and for some important flag parameters are in the file</p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\vb\swedecl.txt
	</span></font></font></font>and can be inserted directly into a VB
	program.</p>
	<p class="western"><br/>

	</p>
	<p class="western">A sample VB program <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">vbsweph</span></font></font></font>
	is included on the distribution, in directory <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\vb</span></font></font></font>.
	To run this sample, the DLL file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.dll</span></font></font></font>
	must be copied into the vb directory or installed in the Windows
	system directory. 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western">DLL functions returning a string:</p>
	<p class="western">Some DLL functions return a string, e.g.</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char*
	<b>swe_get_planet_name</b>(int ipl, char *plname)</font></font></font></p>
	<p><br/>

	</p>
	<p class="western">This function copies its result into the string
	pointer <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">plname;</font></font></font>
	the calling program must provide sufficient space so that the result
	string fits into it. As usual in C programming, the function copies
	the return string into the provided area and returns the pointer to
	this area as the function value. This allows to use this function
	directly in a C print statement.</p>
	<p class="western"><br/>

	</p>
	<p class="western">In VB there are three problems with this type of
	function:</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<br/>

	</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	1.	The string parameter <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">plname</font></font></font>
	must be initialized to a string of sufficient length before the
	call; the content does not matter because it is overwritten by the
	called function. The parameter type must be <br><font color="#000080"><font face="Verdana, sans-serif">ByVal
	plname as String.</font></font><font face="Courier New, monospace"><br></font><br/>

	</p>
	<p class="western">2.	The returned string is terminated by a NULL
	character. This must be searched in VB and the VB string length must
	be set accordingly. Our sample program demonstrates how this can be
	done:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><br>Private
	Function <b>set_strlen</b>(c$) As String<br>  i = InStr(c$,
	Chr$(0))<br>  c$ = Left(c$, i - 1)<br>  set_strlen = c$<br>End
	Function<br>plname = String(20,0)	&lsquo; initialize string to
	length 20<br>swe_get_planet_name(SE_SUN, plname)<br>plname =
	set_strlen(plname)<br></font></font></font><br/>

	</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	3.	The function value itself is a pointer to character. This
	function value cannot be used in VB because VB does not have a
	pointer data type. In VB, such a Function can be either declared as
	type <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&rdquo;As
	long&rdquo;</span></font></font></font> and the return value
	ignored, or it can be declared as a Sub. We have chosen to declare
	all such functions as <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">&sbquo;Sub&lsquo;</span></font></font></font>,
	which automatically ignores the return value.<br><font color="#000080"><font face="Verdana, sans-serif">Declare
	Sub </font></font><font color="#000080"><font face="Verdana, sans-serif"><b>swe_get_planet_name
	</b></font></font><font color="#000080"><font face="Verdana, sans-serif">(ByVal
	ipl as Long, ByVal plname as String)</font></font></p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="20">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636077"></a>
			19. Using the DLL with  Borland Delphi and C++ Builder</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636078"></a>
				19.1 Delphi 2.0 and higher (32-bit)</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">The information in this section was contributed
	by <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Markus
	Fabian, Bern, Switzerland</span></font></font></font>.</p>
	<p class="western"><br/>

	</p>
	<p class="western">In Delphi 2.0 the declaration of the function
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_calc()</font></font></font>
	looks like this:</p>
	<p class="western"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">xx
	: Array[0..5] of double;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">function
	<b>swe_calc</b> (tjd	: double;     // Julian day number</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">ipl
		: Integer;    // planet number</span></font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
	      	: Longint;    // flag bits</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">var
	xx[0]	: double;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	                  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><span lang="da-DK">sErr
	      	: PChar       // Error-String;</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080">
	   <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">)
	: Longint; stdcall; far; external 'swedll32.dll' Name
	'_swe_calc@24';</font></font></font></p>
	<p class="western"><br/>

	</p>
	<p class="western">A nearly complete set of declarations is in file
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\delphi2\swe_d32.pas</span></font></font></font>.</p>
	<p class="western">A small sample project for Delphi 2.0 is also
	included in the same directory (starting with release <b>1.25</b>
	from June 1998). This sample requires the DLL to exist in the same
	directory as the sample.</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636079"></a>
				19.2 Borland C++ Builder</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Borland
	C++ Builder</span></font></font></font> (BCB) does not understand
	the Microsoft format in the library file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	SWEDLL32.LIB</span></font></font></font>; it reports an OMF error
	when this file is used in a BCB project. The user must create
	his/her own LIB file for BCB with the utility IMPLIB which is part
	of BCB.</p>
	<p class="western"><br/>

	</p>
	<p class="western">With the following command command you create a
	special lib file in the current directory:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">IMPLIB
	&ndash;f &ndash;c swe32bor.lib \sweph\bin\swedll32.dll</font></font></font></p>
	<p class="western"><br/>

	</p>
	<p class="western"><b>In the C++ Builder project the following
	settings must be made:</b></p>
	<p class="western"><br/>

	</p>
	<ul>
		<li/>
<p class="western">Menu
		<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Options-&gt;Projects-&gt;Directories/Conditionals</span></font></font></font>:
		add the conditional define<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">
		USE_DLL</font></font></font></p>
		<li/>
<p class="western">Menu  <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Project-&gt;Add_to_project</span></font></font></font>:
		add the library file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		swe32bor.lib</span></font></font></font> to your project.</p>
		<li/>
<p class="western">In the project source, add the include
		file<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		&quot;swephexp.h&quot;</span></font></font></font></p>
	</ul>
	<p><br/>

	</p>
	<p class="western">In the header file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll.h</span></font></font></font>
	the declaration for <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Dllimport</span></font></font></font>
	must be</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#define
	DllImport  extern &quot;C&quot; __declspec( dllimport )</font></font></font></p>
	<p class="western">This is provided automatically by the <font color="#000080">__cplusplus</font>
	switch for release <b>1.24</b> and higher. For earlier releases the
	change must be made manually.</p>
	<p class="western"><br/>

	</p>
	<p class="western"><b>Changes for c++builder 2010</b></p>
	<p class="western">Swiss Ephemeris developer Jean Cremers,
	Netherlands, reported in August 2010 that a different procedure is
	needed for new versions of c++builder. This is his report:</p>
	<p class="western"><br/>

	</p>
	<p class="western" style="margin-left: 0.2in">The method described
	in the file swephprg.htm 'Using the DLL with  Borland Delphi and C++
	Builder' does not work for the current c++builder (I use c++ builder
	6).</p>
	<p class="western" style="margin-left: 0.2in">The command 'IMPLIB &ndash;f
	&ndash;c swe32bor.lib \sweph\bin\swedll32.dll' will give 2 errors
	'unable to open file' and will create the file '-f.lib'.</p>
	<p class="western" style="margin-left: 0.2in">It seems implib cannot
	handle the switches anymore, indeed when left out the file
	swe32bor.lib is generated but the file is in the coff format.</p>
	<p class="western" style="margin-left: 0.2in">A solution is to use
	the coff2omf.exe utility that comes with c++builder like this
	'coff2omf.exe swedll32.dll swe32bor.lib', it will generate a usable
	lib for c++builder.</p>
	<p class="western" style="margin-left: 0.2in"><br/>

	</p>
	<p class="western" style="margin-left: 0.2in">The steps to use sweph
	with c++builder then become:</p>
	<p class="western" style="margin-left: 0.2in"><br/>

	</p>
	<p class="western" style="margin-left: 0.2in">----</p>
	<p class="western" style="margin-left: 0.2in">With the following
	command command you create a special lib file in the current
	directory:</p>
	<p class="western" style="margin-left: 0.2in">coff2omf.exe
	swedll32.dll \sweph\bin\swe32bor.lib</p>
	<p class="western" style="margin-left: 0.2in"><br/>

	</p>
	<p class="western" style="margin-left: 0.2in">In the C++ Builder
	project the following settings must be made:</p>
	<p class="western" style="margin-left: 0.2in"><br/>

	</p>
	<p class="western" style="margin-left: 0.2in">Menu
	Options-&gt;Projects-&gt;Directories/Conditionals: add the
	conditional define USE_DLL</p>
	<p class="western" style="margin-left: 0.2in">Menu 
	Project-&gt;Add_to_project: add the library file swe32bor.lib to
	your project.</p>
	<p class="western" style="margin-left: 0.2in">In the project source,
	add the include file &quot;swephexp.h&quot;</p>
	<p class="western" style="margin-left: 0.2in">----</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="21">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636080"></a>
			20. Using the Swiss Ephemeris with Perl</h2>
		</ol>
	</ol>
	<p class="western">The Swiss Ephemeris can be run from Perl using
	the Perl module SwissEph.pm. The module SwissEph.pm uses XSUB
	(&ldquo;eXternal SUBroutine&rdquo;), which calls the Swiss Ephemeris
	functions either from a C library or a DLL.</p>
	<p class="western"><br/>

	</p>
	<p class="western">In order to run the Swiss Ephemeris from Perl,
	you have to</p>
	<p class="western"><br/>

	</p>
	<ol>
		<li/>
<p class="western">Install the Swiss Ephemeris. Either you
		download the Swiss Ephemeris DLL from <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="http://www.astro.com/swisseph"><font face="Arial, sans-serif">http://www.astro.com/swisseph</font></a></u></font></font></font>
		or you download the Swiss Ephemeris C source code and compile a
		static or dynamic shared library. We built the package on a Linux
		system and use a shared library of the Swiss Ephemeris functions.</p>
	</ol>
	<p class="western" style="margin-left: 0.25in"><br/>

	</p>
	<ol start="2">
		<li/>
<p class="western">Install the XS library:</p>
	</ol>
	<p class="western" style="text-indent: 0.49in">- Unpack the file
	PerlSwissEph-1.76.00.tar.gz (or whatever newest version there is)</p>
	<p class="western">    	- Open the file Makefile.PL, and edit it
	according to your requirements. Then run it.</p>
	<p class="western">    	- make install</p>
	<p class="western"><br/>

	</p>
	<p class="western">If you work on a Windows machine and prefer to
	use the Swiss Ephemeris DLL, you may want to study R&uuml;diger
	Plantiko's Perl module for the Swiss Ephemeris at
	<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="http://www.astrotexte.ch/sources/SwissEph.zip"><font face="Arial, sans-serif">http://www.astrotexte.ch/sources/SwissEph.zip</font></a></u></font></font></font>.
	There is also a documentation in German language by R&uuml;diger
	Plantiko at <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="http://www.astrotexte.ch/sources/swe_perl.html"><font face="Arial, sans-serif">http://www.astrotexte.ch/sources/swe_perl.html</font></a></u></font></font></font>).</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="22">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636081"></a>
			21. The C sample program</h2>
		</ol>
	</ol>
	<p><br/>

	</p>
	<p class="western">The distribution contains executables and C
	source code of sample programs which demonstrate the use of the
	Swiss Ephemeris DLL and its functions.</p>
	<p class="western"><br/>

	</p>
	<p class="western">All samples programs are compiled with the
	Microsoft Visual C++ 5.0 compiler (32-bit). Project and Workspace
	files for these environments are included with the source files.</p>
	<p class="western"><br/>

	</p>
	<p class="western"><b>Directory structure:</b></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000">Sweph\bin		</font></span></font></font></font>DLL,
	LIB and EXE file</p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000">Sweph\src</font></span></font></font></font>		source
	files, resource files</p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000">Sweph\src\swewin32</font></span></font></font></font>	32-bit
	windows sample program</p>
	<p class="western">Sweph\src\swete32	32-bit character mode sample
	program</p>
	<p class="western"><br/>

	</p>
	<p class="western"><br/>

	</p>
	<p class="western"><b>You can run the samples in the following
	environments:</b></p>
	<p>Swetest.exe 	in Windows command line	</p>
	<p class="western">Swete32.exe	in Windows command line</p>
	<p class="western">Swewin32.exe	in Windows 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western"><br/>

	</p>
	<p class="western"><b>Character mode executable that needs a DLL</b></p>
	<p><b>Swete32.exe </b>
	</p>
	<p class="western">The project files are in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\src\swete32</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetest.c</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.lib</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweodef.h</span></font></font></font></p>
	<p class="western"><span lang="pt-BR">define macros:</span><span lang="pt-BR"><i>
	</i></span><font color="#000080"><span lang="pt-BR">USE_DLL   DOS32 
	 DOS_DEGREE</span></font></p>
	<p lang="pt-BR" class="western"><br/>

	</p>
	<p><br/>

	</p>
	<p class="western"><b>swewin32.exe</b></p>
	<p class="western">The project files are in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\src\swewin32</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.c</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll32.lib</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.rc</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swewin.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephexp.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swedll.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweodef.h</span></font></font></font></p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">resource.h</span></font></font></font></p>
	<p class="western">define macro   <font color="#000080"> USE_DLL</font></p>
	<p class="western"><br/>

	</p>
	<p class="western">How the sample programs search for the ephemeris
	files:</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<br/>

	</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	1.	check environment variable <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">SE_EPHE_PATH</font></font></font>;
	if it exists it is used, and if it has invalid content, the program
	fails.</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	2.	Try to find the ephemeris files in the current working directory</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	3.	Try to find the ephemeris files in the directory where the
	executable resides</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	4.	Try to find a directory named <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\SWEPH\EPHE
	</span></font></font></font>in one of the following three drives: 
	</p>
	<ul>
		<li/>
<p class="western">where the executable resides</p>
		<li/>
<p class="western">current drive</p>
		<li/>
<p class="western">drive C:</p>
	</ul>
	<p class="western"><br/>

	</p>
	<p class="western">As soon as it succeeds in finding the first
	ephemeris file it looks for, it expects all required ephemeris files
	to reside there. This is a feature of the sample programs only, as
	you can see in our C code. 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western">The DLL itself has a different and simpler
	mechanism to search for ephemeris files, which is described with the
	function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>
	above.</p>
	<ol>
		<ol start="23">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636082"></a><a name="_Hlk477415522"></a>
			21. The source code distribution</h2>
		</ol>
	</ol>
	<p class="western">Starting with release <b>1.26</b>, the full
	source code for the Swiss Ephemeris DLL is made available. Users can
	choose to link the Swiss Ephemeris code directly into their
	applications. The source code is written in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Ansi
	C</span></font></font></font> and consists of these files:</p>
	<table width="534" cellpadding="5" cellspacing="0">
		<col width="118">
		<col width="113">
		<col width="113">
		<col width="151">
		<tr>
			<td width="118" height="14" style="border: none; padding: 0in">
				<p class="western" align="center"><b>Bytes</b></p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western" align="center"><b>Date</b></p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western" align="center"><b>File name</b></p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western" align="center"><b>Comment</b></p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western">1639</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 28 17:09</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Makefile</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western">unix makefile for library</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western"><b>API interface files</b></p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">15050</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:56</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swephexp.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western">SwissEph API include file</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">14803</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:59</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swepcalc.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western">Placalc API include file</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western"><b>Internal files</b></p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p align="right">8518</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:06</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swedate.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">2673</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:03</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swedate.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">8808</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 28 19:24</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swedll.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">24634</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swehouse.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">2659</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:05</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swehouse.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">31279</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swejpl.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">3444</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:05</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swejpl.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">38238</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swemmoon.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">2772</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:05</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swemosh.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">18687</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swemplan.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">311564</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swemptab.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">7291</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:06</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">sweodef.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">28680</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swepcalc.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">173758</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">sweph.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">12136</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:06</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">sweph.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">55063</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:07</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swephlib.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">4886</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 27 10:06</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swephlib.h</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="118" height="9" style="border: none; padding: 0in">
				<p class="western" align="right">43421</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">Nov 28 19:33</p>
			</td>
			<td width="113" style="border: none; padding: 0in">
				<p class="western">swetest.c</p>
			</td>
			<td width="151" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<p style="margin-right: -0.02in">In most cases the user will compile
	a linkable or shared library from the source code, using his
	favorite C compiler, and then link this library with his
	application.</p>
	<p style="margin-right: -0.02in">If the user programs in C, he will
	only need to include the header file swephexp.h with his
	application; this in turn will include sweodef.h. All other source
	files can ignored from the perspective of application development.</p>
	<ol>
		<ol start="24">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636083"></a>
			22. The PLACALC compatibility API</h2>
		</ol>
	</ol>
	<p style="margin-right: -0.02in">To simplify porting of older
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Placalc</span></font></font></font>
	applications to the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swiss
	Ephemeris</span></font></font></font> API, we have created the
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Placalc</span></font></font></font>
	compatibility API which consists of the header file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swepcalc.h</span></font></font></font>.
	This header file replaces the headers <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ourdef.h</span></font></font></font>,
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">placalc.h,
	housasp.h</span></font></font></font> and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">astrolib.h</span></font></font></font>
	in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Placalc</span></font></font></font>
	applications.You should be able to link your Placalc aplication now
	with the Swiss Ephemeris library. The <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Placalc</span></font></font></font>
	API is not contained in the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SwissEph</span></font></font></font>
	DLL.</p>
	<p style="margin-right: -0.02in">All new software should use the
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SwissEph</span></font></font></font>
	API directly.</p>
	<ol>
		<ol start="25">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636084"></a>
			23. Documentation files</h2>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">The following files are in the directory
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">\sweph\doc</span></font></font></font></p>
	<p class="western"><br/>

	</p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweph.cdr</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sweph.gif</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephin.cdr</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephin.gif</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephprg.doc		</span></font></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000"><span lang="en-US">Documentation
	for programming, a MS Word-97 file</span></font></span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swephprg.rtf		</span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swisseph.doc		</span></font></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000"><span lang="en-US">General
	information on Swiss Ephemeris</span></font></span></font></font></font></p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swisseph.rtf</span></font></font></font></p>
	<p class="western"><br/>

	</p>
	<p class="western">The files with suffix .CDR are Corel Draw 7.0
	documents with the Swiss Ephemeris icons.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="26">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636085"></a>
			24. Swisseph with different hardware and compilers</h2>
		</ol>
	</ol>
	<p class="western">Depending on what hardware and compiler you use,
	there will be slight differences in your planetary calculations. For
	positions in longitude, they will be never larger than <b>0.0001&quot;</b>
	in longitude. Speeds show no difference larger than <b>0.0002
	arcsec/day.</b></p>
	<p><br/>

	</p>
	<p class="western">The following factors show larger differences
	between HPUX and Linux on a Pentium II processor:</p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Mean
	Node, Mean Apogee:</span></font></font></font></p>
	<p class="western">HPUX PA-Risc non-optimized versus optimized code:</p>
	<p class="western">  differences are smaller than 0.001 arcsec/day</p>
	<p class="western"><br/>

	</p>
	<p lang="fr-FR" class="western">HPUX PA-Risc versus Intel Pentium
	gcc non-optimzed</p>
	<p class="western">  differences are smaller than 0.001 arcsec/day</p>
	<p class="western"><br/>

	</p>
	<p class="western">Intel Pentium gss non-optimzed versus -O9
	optimized:</p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Mean
	Node, True node, Mean Apogee</span></font></font></font>: difference
	smaller than 0.001 arcsec/day</p>
	<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Osculating
	Apogee:</span></font></font></font> differences smaller than 0.03
	arcsec</p>
	<p class="western"><br/>

	</p>
	<p class="western">The differences originate from the fact that the
	floating point arithmetic in the Pentium is executed with 80 bit
	precision, whereas stored program variables have only 64 bit
	precision. When code is optimized, more intermediate results are
	kept inside the processor registers, i.e. they are not shortened
	from 80bit to 64 bit. When these results are used for the next
	calculation, the outcome is then slightly different. 
	</p>
	<p class="western">In the computation of speed for the nodes and
	apogee, differences between positions at close intervals are
	involved; the subtraction of nearly equal values results shows
	differences in internal precision more easily than</p>
	<p class="western">other types of calculations. As these differences
	have no effect on any imaginable application software and are mostly
	within the design limit of Swiss Ephemeris, they can be savely
	ignored.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="27">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636086"></a>
			25. Debugging and Tracing Swisseph</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636087"></a>
				25.1. If you are using the DLL</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Besides the ordinary Swisseph function, there are
	two additional DLLs that allow you tracing your Swisseph function
	calls:</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swetrs32.dll</span></font></font></font>
	is for single task debugging, i.e. if only one application at a time
	calls Swisseph functions. 
	</p>
	<p class="western" style="text-indent: 0.25in">Two output files are
	written:</p>
	<p class="western" style="text-indent: 0.25in">a) <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace.txt</span></font></font></font>:
	reports all Swisseph functions that are being called.</p>
	<p class="western" style="text-indent: 0.25in">b) <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace.c:</span></font></font></font>
	contains C code equivalent to the Swisseph calls that your
	application did.</p>
	<p class="western" style="text-indent: 0.25in">The last bracket of
	the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">main()</font></font></font>
	at the end of the file is missing. 
	</p>
	<p class="western" style="text-indent: 0.25in">If you want to
	compile the code, you have to add it manually. Note that these files
	may grow very fast, 
	</p>
	<p class="western" style="text-indent: 0.25in">depending on what you
	are doing in your application. The output is limited to 10000
	function calls per run.</p>
	<p class="western" style="margin-left: 0.25in; text-indent: -0.25in">
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swetrm32.dll</span></font></font></font>
	is for multitasking, i.e. if more than one application at a time are
	calling Swisseph functions. If you used the single task DLL here,
	all applications would try to write their trace output into the same
	file. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Swetrm32.dll</span></font></font></font>
	generates output file names that contain the process identification
	number of the application by which the DLL is called, e.g.
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace_192.c
	</span></font></font></font>and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace_192.txt.</span></font></font></font></p>
	<p class="western" style="margin-left: 0.25in">Keep in mind that
	every process creates its own output files and with time might fill
	your disk.</p>
	<p class="western">In order to use a trace DLL, you have to replace
	your Swisseph DLL by it:</p>
	<p class="western">a) save your Swisseph DLL</p>
	<p class="western">b) rename the trace DLL as your Swisseph DLL
	(e.g. as<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swedll32.dll</span></font></font></font>)</p>
	<p class="western"><br/>

	</p>
	<p class="western"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">IMPORTANT:</span></b></font></font>
	The Swisseph DLL will not work properly if you call it from <b>more
	than one thread.</b></p>
	<p><br/>

	</p>
	<p class="western">Output samples <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace.txt:</span></font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><br/>

	</p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_deltat:
	2451337.870000	0.000757	</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_set_ephe_path:
	path_in = 	path_set = \sweph\ephe\</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_calc:
	2451337.870757	-1	258	23.437404	23.439365	-0.003530	-0.001961	0.000000	0.000000</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_deltat:
	2451337.870000	0.000757	</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_sidtime0:
	2451337.870000	sidt = 1.966683	eps = 23.437404	nut = -0.003530	</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_sidtime:
	2451337.870000	1.966683	</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_calc:
	2451337.870757	0	258	77.142261	-0.000071	1.014989	0.956743	-0.000022	0.000132</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><font color="#000080"><font face="Verdana, sans-serif"><font size="1" style="font-size: 8pt">swe_get_planet_name:
	0	Sun	</font></font></font></p>
	<p style="border: 1px solid #000000; padding: 0.01in 0.06in"><br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><br/>

	</p>
	<p><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swetrace.c:</span></font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#include
	&quot;sweodef.h&quot;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">#include
	&quot;swephexp.h&quot;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">void
	main()</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">{</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	tjd, t, nut, eps; int i, ipl, retc; long iflag;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	armc, geolat, cusp[12], ascmc[10]; int hsys;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	xx[6]; long iflgret;</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">char
	s[AS_MAXCH], star[AS_MAXCH], serr[AS_MAXCH];</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<br/>

	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*SWE_DELTAT*/</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd
	= 2451337.870000000; t = swe_deltat(tjd);</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">printf(&quot;swe_deltat:
	%f\t%f\t\n&quot;, tjd, t);</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<br/>

	</p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*SWE_CALC*/</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">tjd
	= 2451337.870757482; ipl = 0; iflag = 258;</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflgret
	= swe_calc(tjd, ipl, iflag, xx, serr);	/* xx = 1239992 */</font></font></font></p>
	<p lang="da-DK" style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<br/>

	</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*SWE_CLOSE*/</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in; border: 1px solid #000000; padding: 0.01in 0.06in">
	<font color="#000080">  <font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_close();</font></font></font></p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636088"></a>
				25.2 If you are using the source code</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Similar tracing is also possible if you compile
	the Swisseph source code into your application. Use the preprocessor
	definitions <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">TRACE=1</font></font></font>
	for single task debugging, and TRACE=2 for multitasking. In most
	compilers this flag can be set with <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">&ndash;DTRACE=1</font></font></font>
	or <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/DTRACE=1.</font></font></font></p>
	<p class="western">For further explanations, see 21.1.</p>
	<p class="western" style="border-top: none; border-bottom: 1px solid #000000; border-left: none; border-right: none; padding-top: 0in; padding-bottom: 0.01in; padding-left: 0in; padding-right: 0in">
	<br/>

	</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol start="28">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636089"></a>
			Appendix</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636090"></a>
				Update and release history</h3>
			</ol>
		</ol>
	</ol>
	<table width="657" cellpadding="7" cellspacing="0">
		<col width="94">
		<col width="4356">
		<col width="80">
		<col width="4357">
		<col width="422">
		<col width="2">
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western"><b>Updated</b></p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western"><b>By</b></p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p align="right">30-sep-97</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western">added chapter 10 (sample programs)</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">7-oct-97</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western">inserted chapter 7 (house calculation)</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">8-oct-97</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western">Appendix &rdquo;Changes from version 1.00 to
				1.01&rdquo;</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">12-oct-1997</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western">Added new chapter 10 Using the DLL with Visual
				Basic</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">26-oct-1997</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> improved implementation and documentation of
				swe_fixstar() 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">28-oct-1997</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Changes from Version 1.02 to 1.03</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">29-oct-1997</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> added VB sample extension, fixed VB
				declaration errors</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">9-Nov-1997</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> added Delphi declaration sample</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">8-Dec-97</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> remarks concerning computation of asteroids,
				changes to version 1.04</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">8-Jan-98</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> changes from version 1.04 to 1.10.</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">12-Jan-98</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> changes from version 1.10 to 1.11.</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">21-Jan-98</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> calculation of topocentric planets and house
				positions (1.20)</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">28-Jan-98</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Delphi 1.0 sample and declarations for 16-
				and 32-bit Delphi (1.21)</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">11-Feb-98</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western"> version 1.23</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">7-Mar-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> version 1.24 support for Borland C++ Builder
				added 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">4-June-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> version 1.25 sample for Borland Delphi-2
				added</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">29-Nov-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> version 1.26 source code information added
				&sect;16, Placalc API added</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">1-Dec-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> chapter 19 and some additions in beginning of
				Appendix.</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">2-Dec-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Equation of Time explained (in &sect;4),
				changes version 1.27 explained</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">3-Dec-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Note on ephemerides of 1992 QB1 and 1996 TL66</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">17-Dec-1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Note on extended time range of 10'800 years</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western" align="right">22 Dec 1998</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western"> Appendix A</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">12-Jan-1999</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Eclipse functions added, version 1.31</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">19-Apr-99</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western"> version 1.4</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">8-Jun-99</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Chapter 21 on tracing an debugging Swisseph</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">27-Jul-99</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> Info about sidereal calculations</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" height="12" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">16-Aug-99</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western"> version 1.51, minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p class="western" align="right">15-Feb-00</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western"> many things for version 1.60</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="it-IT" class="western" align="right">19-Mar-00</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="it-IT" class="western">Vic Ogi</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p class="western">SWEPHPRG.DOC re-edited</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">17-apr-02</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.64</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">26-Jun-02</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western">Version 1.64.01</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western" align="right">31-dec-2002</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western">Alois</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">edited doc to remove references
				to 16-bit version</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">12-jun-2003</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Alois/Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.65</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">10-Jul-2003</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.66</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">25-May-2004</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation of eclipse
				functions updated</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">31-Mar-2005</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.67</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">3-May-2005</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.67.01</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">22-Feb-2006</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.70.00</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">2-May-2006</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.70.01</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="en-GB" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">5-Feb-2006</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.70.02</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="de-CH" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td width="94" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">30-Jun-2006</p>
			</td>
			<td colspan="2" width="81" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="424" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.70.03</p>
			</td>
			<td width="2" valign="top" style="border: none; padding: 0in">
				<p lang="de-CH" class="western"><br/>

				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">28-Sep-2006</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation for version 1.71</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="en-GB" class="western" align="right">29-May-2008</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.73</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">18-Jun-2008</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.74</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">27-Aug-2008</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Documentation for version 1.75</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="95" style="border: none; padding: 0in">
				<p lang="de-CH" class="western" align="right">7-April-2009</p>
			</td>
			<td colspan="2" width="82" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Dieter</p>
			</td>
			<td colspan="2" width="438" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">Documentation of version 1.76</p>
			</td>
		</tr>
	</table>
	<p><br/>

	</p>
	<table width="676" cellpadding="7" cellspacing="0">
		<col width="52">
		<col width="4356">
		<col width="4356">
		<col width="88">
		<col width="492">
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western"><b>Release</b></p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western"><b>Date</b></p>
			</td>
			<td width="492" valign="top" style="border: none; padding: 0in">
				<p class="western"> 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.00</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">30-sep-1997</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"> 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.01</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">9-oct-1997</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">houses(),
				sidtime()</span></font></font></font> made more convenient for
				developer, Vertex added.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.02</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">16-oct-1997</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">houses()</span></font></font></font>
				changed again, Visual Basic support, new numbers for fictitious
				planets This release was pushed to all existing licensees at this
				date.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.03</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">28-Oct-1997</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">minor bug fixes, improved <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_fixstar()</font></font></font>
				functionality. This release was not pushed, as the changes and
				bug fixes are minor; no changes of function definitions occurred.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.04</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">8-Dec-1997</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">minor bug fixes; more asteroids.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.10</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">9-Jan-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">bug fix, s. Appendix. This release was pushed
				to all existing licensees at this date.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.11</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">12-Jan-98</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">small improvements</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.20</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">20-Jan-98</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><span style="background: #ffff00">New</span>:
				topocentric planets and house positions; a minor bug fix</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.21</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">28-Jan-98</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p>Delphi declarations and sample for Delphi 1.0</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.22</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">2-Feb-98</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p>Asteroids moved to subdirectory. <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">Swe_calc()</font></font></font>
				finds them there.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.23</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">11-Feb-98</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">two minor bug fixes.</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.24</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">7-Mar-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Documentation for Borland C++ Builder added,
				see section 14.3</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.25</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">4-June-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Sample for Borland Delphi-2 added</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.26</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">29-Nov-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">full source code made available, Placalc API
				documented</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.27</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">2-dec-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Changes to <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SE_EPHE_PATH</span></font></font></font>
				and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font></p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.30</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">17-Dec-1998</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Time range extended to 10'800 years</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.31</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">12-Jan-1999</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><span style="background: #ffff00">New</span>:
				Eclipse functions added</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.40</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">19-Apr-99</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><span style="background: #ffff00">New</span>:
				planetary phenomena added; bug fix in <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_ecl_when_glob();</span></font></font></font></p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.50</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">27-Jul-99</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western"><span style="background: #ffff00">New</span>:
				SIDEREAL planetary positions and houses; new<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
				fixstars.cat</span></font></font></font></p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.51</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">16-Aug-99</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.60</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">15-Feb-2000</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Major release with <span style="background: #ffff00">many
				new features</span> and some minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.61</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">11-Sep-2000</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor release, additions to se_rise_trans(),
				swe_houses(), ficitious planets</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.61.01</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">18-Sep-2000</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor release, added Alcabitus house system</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.61.02</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">10-Jul-2001</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor release, fixed bug which prevented
				asteroid files &gt; 22767 to be accepted</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.61.03</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western" align="right">20-Jul-2001</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor release, fixed bug which was introduced
				in 1.61.02: Ecliptic was computed in Radians instead of degrees</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.62.00</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western">    23-Jul-2001</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Minor release, several bug fixes, code for
				fictitious satellites of the earth, asteroid files &gt; 55535 are
				accepted</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.62.01</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western">16-Oct-2001</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Bug fix, string overflow in
				sweph.c::read_const(), 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="3" width="53" style="border: none; padding: 0in">
				<p class="western">1.63.00</p>
			</td>
			<td width="88" style="border: none; padding: 0in">
				<p class="western">5-Jan-2002</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Added house calculation to sweetest.c and
				swetest.exe 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p class="western">1.64.00</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p class="western">6-Mar-2002</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">House system &lsquo;G&rsquo; for house
				functions and function swe_gauquelin_sector() for Gauquelin
				sector calculations</p>
				<p class="western">Occultations of planets and fixed stars by the
				moon</p>
				<p class="western">New Delta T algorithms</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p class="western">1.64.01</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p class="western">26-Jun-2002</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Bug fix in swe_fixstar(). Stars with decl.
				between &ndash;1&deg; and 0&deg; were wrong</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p class="western">1.65.00</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p class="western">12-Jun-2003</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Long variables replaced by INT32 for 64-bit
				compilers</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p class="western">1.66.00</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p class="western">10-Jul-2003</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">House system &lsquo;M&rsquo; for Morinus
				houses</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">1.67.00</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">31-Mar-2005</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">Update Delta T</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">1.67.01</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="de-CH" class="western">3-May-2005</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Docu for sidereal calculations (Chap. 10)
				updated (precession-corrected transits)</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.70.00</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">22-Feb-2006</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">all relevant IAU resolutions up to 2005 have
				been implemented</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.70.01</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">2-May-2006</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">minor bug fix</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.70.02</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">5-May-2006</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">minor bug fix</p>
			</td>
		</tr>
		<tr>
			<td width="52" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.70.03</p>
			</td>
			<td colspan="3" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">30-June-2006</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">bug fix</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.71</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">28-Sep-2006</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Swiss Ephemeris functions able to calculate
				minor planet  no 134340 Pluto</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.72</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">28-Sep-2007</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">New function swe_refract_extended(), Delta T
				update, minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.73</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">29-May-2008</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">New function swe_fixstars_mag(), Whole Sign
				houses 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.74</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">18-Jun-2008</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Bug fixes 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.75</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">27-Aug-2008</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Swiss Ephemeris can read newer JPL ephemeris
				files; bug fixes 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.76</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">7-April-2009</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Heliacal risings, UTC and minor
				improvements/bug fixes 
				</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.77</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">26-Jan-2010</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">swe_deltat(), swe_fixstar() improved,
				swe_utc_time_zone_added</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.78</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">3-Aug-2012</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">New precession, improvement of some eclipse
				functions, some minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.79</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">18-Apr-2013</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">New precession, improvement of some eclipse
				functions, some minor bug fixes</p>
			</td>
		</tr>
		<tr>
			<td colspan="2" width="53" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">1.80</p>
			</td>
			<td colspan="2" width="89" style="border: none; padding: 0in">
				<p lang="en-GB" class="western">3-Sep-2013</p>
			</td>
			<td width="492" style="border: none; padding: 0in">
				<p class="western">Security update, APC houses, bug fixes</p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="2">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636091"></a>
				Changes from version 1.79 to 1.80</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- Security update: improved some places in code
	where buffer overflow could occur (thanks to Paul Elliott)</p>
	<p class="western">- APC house system 
	</p>
	<p class="western">- New function swe_house_name(), returns name of
	house method</p>
	<p class="western">- Two new ayanamshas: Suryasiddhantic Revati
	(359&rsquo;50 polar longitude) and Citra (180&deg; polar longitude)</p>
	<p class="western">- Bug fix in swehel.c, handling of age of
	observer (thanks to Victor Reijs).</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="3">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636092"></a>
				Changes from version 1.78 to 1.79</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- Improved precision in eclipse calculations: 2<sup>nd</sup>
	and 3<sup>rd</sup> contact with solar eclipses, penumbral and
	partial phases with lunar eclipses. 
	</p>
	<p class="western">- Bug fix in function
	swe_sol_eclipse_when_loc().If the local maximum eclipse occurs at
	sunset or sunrise, tret[0] now gives the moment when the lower limb
	of the Sun touches the horizon. This was not correctly implemented
	in former versions</p>
	<p class="western">- Several changes to C code that had caused
	compiler warnings (as proposed by Torsten F&ouml;rtsch).</p>
	<p class="western">- Bug fix in Perl functions swe_house() etc.
	These functions had crashed with a segmention violation if called
	with the house parameter &lsquo;G&rsquo;.</p>
	<p class="western">- Bug fix in Perl function swe_utc_to_jd(), where
	gregflag had been read from the 4<sup>th</sup> instead of the 6<sup>th</sup>
	parameter.</p>
	<p class="western">- Bug fix in Perl functions to do with date
	conversion. The default mechanism for gregflag was buggy.  
	</p>
	<p lang="en-GB" class="western">- For Hindu astrologers, some more
	ayanamshas were added that are related to Suryasiddhanta and
	Aryabhata and are of historical interest. 
	</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="4">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636093"></a>
				Changes from version 1.77 to 1.78</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- <span style="background: #ffff00">precession is
	now calculated according to Vondr&aacute;k, Capitaine, and Wallace
	2011.</span></p>
	<p class="western">- Delta t for current years updated.</p>
	<p class="western">- new function: swe_rise_trans_true_hor() for
	risings and settings at a local horizon with known height.</p>
	<p class="western">- functions swe_sol_eclipse_when_loc(),
	swe_lun_occult_when_loc(): return values tret[5] and tret[6]
	(sunrise and sunset times) added, which had been 0 so far.</p>
	<p class="western">- function swe_lun_eclipse_how(): return values
	attr[4-6] added (azimuth and apparent and true altitude of moon).</p>
	<p class="western">- <span style="background: #ffff00">Attention</span>
	with swe_sol_eclipse_how(): return value attr[4] is azimuth, now
	measured from south, in agreement with the function swe_azalt() and
	swe_azalt_rev().</p>
	<p class="western">- minor bug fix in swe_rise_trans(): twilight
	calculation returned invalid times at high geographic latitudes.</p>
	<p class="western">- minor bug fix: when calling swe_calc() 1. with
	SEFLG_MOSEPH, 2. with SEFLG_SWIEPH, 3. again with SEFLG_MOSEPH, the
	result of 1. and 3. were slightly different. Now they agree.</p>
	<p class="western">- minor bug fix in swe_houses(): With house
	methods H (Horizon), X (Meridian), M (Morinus), and geographic
	latitudes beyond the polar circle, the ascendant was wrong at times.
	The ascendant always has to be on the eastern part of the horizon.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="5">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636094"></a>
				Changes from version 1.76 to 1.77</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- Delta T:</p>
	<p class="western">  - Current values were updated.</p>
	<p class="western">  - File sedeltat.txt understands doubles.</p>
	<p class="western">  - For the period before 1633, the new formulae
	by Espenak and Meeus (2006) are used.  These formulae were derived
	from Morrison &amp; Stephenson (2004), as used by the Swiss
	Ephemeris until version 1.76.02.</p>
	<p class="western">  - The tidal acceleration of the moon contained
	in LE405/6 was corrected according to
	Chapront/Chapront-Touz&eacute;/Francou A&amp;A 387 (2002), p. 705.</p>
	<p class="western"><br/>

	</p>
	<p class="western">- Fixed stars:</p>
	<p class="western">  - There was an error in the handling of the
	proper motion in RA. The values given in fixstars.cat, which are
	taken from the Simbad database (Hipparcos), are referred to a great
	circle and include a factor of cos(d0).</p>
	<p class="western">  - There is a new fixed stars file sefstars.txt.
	The parameters are now identical to those in the Simbad database,
	which makes it much easier to add new star data to the file. If the
	program function swe_fixstars() does not find sefstars.txt, it will
	try the the old fixed stars file fixstars.cat and will handle it
	correctly. 
	</p>
	<p class="western">  - Fixed stars data were updated, some errors
	corrected.</p>
	<p class="western">  - Search string for a star ignores white
	spaces.</p>
	<p class="western"><br/>

	</p>
	<p class="western">- Other changes:</p>
	<p class="western">  - New function swe_utc_time_zone(), converts
	local time to UTC and UTC to local time. Note, the function has no
	knowledge about time zones. The Swiss Ephemeris still does not
	provide the time zone for a given place and time.</p>
	<p class="western">  - swecl.c:swe_rise_trans() has two new minor
	features: SE_BIT_FIXED_DISC_SIZE and SE_BIT_DISC_BOTTOM (thanks to
	Olivier Beltrami)</p>
	<p class="western">  - minor bug fix in swemmoon.c, Moshier's lunar
	ephemeris (thanks to Bhanu Pinnamaneni)</p>
	<p class="western">  - solar and lunar eclipse functions provide
	additional data:</p>
	<p class="western">    attr[8] magnitude, attr[9] saros series
	number, attr[10] saros series member number</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="6">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636095"></a>
				Changes from version 1.75 to 1.76</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">- Functions for the calculation of heliacal
	risings and related phenomena, s. chap. 6.15-6.17.</p>
	<p class="western">- Functions for conversion between UTC and JD
	(TT/UT1), s. chap. 7.2 and 7.3.</p>
	<p class="western">- File sedeltat.txt allows the user to update
	Delta T himself regularly, s. chap. 8.3</p>
	<p class="western">- Function swe_rise_trans(): twilight
	calculations (civil, nautical, and astronomical) added</p>
	<p class="western">- Function swe_version() returns version number
	of Swiss Ephemeris.</p>
	<p class="western">- Swiss Ephemeris for Perl programmers using XSUB
		</p>
	<p class="western"><br/>

	</p>
	<p class="western">Other updates:</p>
	<p class="western">- Delta T updated (-2009).</p>
	<p class="western"><br/>

	</p>
	<p class="western">Minor bug fixes:</p>
	<p class="western">- swe_house_pos(): minor bug with Alcabitius
	houses fixed</p>
	<p class="western">- swe_sol_eclipse_when_glob(): totality times for
	eclipses jd2456776 and jd2879654 fixed (tret[4], tret[5])</p>
	<ol>
		<ol>
			<ol start="7">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636096"></a>
				Changes from version 1.74 to version 1.75</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- The Swiss Ephemeris is now able to read
	ephemeris files of JPL ephemerides DE200 - DE421. If JPL will not
	change the file structure in future releases, the Swiss Ephemeris
	will be able to read them, as well.</p>
	<p class="western"><br/>

	</p>
	<p class="western">- Function swe_fixstar() (and swe_fixstar_ut())
	was made slightly more efficient. 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western">- Function swe_gauquelin_sector() was extended.</p>
	<p class="western"><br/>

	</p>
	<p class="western">- Minor bug fixes.</p>
	<ol>
		<ol>
			<ol start="8">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636097"></a>
				Changes from version 1.73 to version 1.74</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">The Swiss Ephemeris is made available under a
	dual licensing system:</p>
	<p class="western">  a) GNU public license version 2 or later</p>
	<p class="western">  b) Swiss Ephemeris Professional License</p>
	<p class="western">For more details, see at the beginning of this
	file and at the beginning of every source code file.</p>
	<p class="western"><br/>

	</p>
	<p class="western">Minor bug fixes:</p>
	<p class="western">- Bug in swe_fixstars_mag() fixed.</p>
	<p class="western">- Bug in swe_nod_aps() fixed. With retrograde
	asteroids (20461 Dioretsa, 65407 2002RP120), the calculation of
	perihelion and aphelion was not correct. 
	</p>
	<p class="western">- The ephemeris of asteroid 65407 2002RP120 was
	updated. It had been wrong before 17 June 2008.</p>
	<ol>
		<ol>
			<ol start="9">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636098"></a>
				Changes from version 1.72 to version 1.73</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">- Whole Sign houses implemented (W)</p>
	<p class="western">- swe_house_pos() now also handles Alcabitius
	house method</p>
	<p class="western">- function swe_fixstars_mag() provides fixed
	stars magnitudes</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="10">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636099"></a>
				Changes from version 1.71 to version 1.72</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">- Delta T values for recent years were updated</p>
	<p lang="en-GB" class="western">- Delta T calculation before 1600
	was updated to Morrison/Stephenson 2004..</p>
	<p class="western">- New function swe_refract_extended(), in
	cooperation with archaeoastronomer Victor  Reijs.</p>
	<p class="western">  This function allows correct calculation of
	refraction for altitudes above sea &gt; 0, where the ideal horizon
	and</p>
	<p class="western">  Planets that are visible may have a negative
	height.</p>
	<p class="western">- Minor bugs in swe_lun_occult_when_glob() and
	swe_lun_eclipse_how() were fixed.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="11">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636100"></a>
				Changes from version 1.70.03 to version 1.71</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">In September 2006, Pluto was introduced to the
	minor planet catalogue and given the catalogue number 134340.</p>
	<p class="western">The numerical integrator we use to generate minor
	planet ephemerides would crash with 134340 Pluto, because Pluto is
	one of those planets whose gravitational perturbations are used for
	the numerical integration. Instead of fixing the numerical
	integrator for this special case, we chang the Swiss Ephemeris
	functions in such a way that they treat minor planet 134340 Pluto
	(ipl=SE_AST_OFFSET+134340) as our main body Pluto (ipl=SE_PLUTO=9).
	This also results in a slightly better precision for 134340 Pluto.</p>
	<p class="western"><br/>

	</p>
	<p class="western">Swiss Ephemeris versions prior to 1.71 are not
	able to do any calculations for minor planet number 134340.</p>
	<ol>
		<ol>
			<ol start="12">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636101"></a>
				Changes from version 1.70.02 to version 1.70.03</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Bug fixed (in swecl.c: swi_bias()): This bug
	sometimes resulted in a crash, if the DLL was used and the
	SEFLG_SPEED was not set. It seems that the error happened only with
	the DLL and did not appear, when the Swiss Ephemeris C code was
	directly linked to the application.</p>
	<p class="western"><br/>

	</p>
	<p class="western">Code to do with (#define NO_MOSHIER ) war
	removed.</p>
	<ol>
		<ol>
			<ol start="13">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636102"></a>
				Changes from version 1.70.01 to version 1.70.02</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Bug fixed in speed calculation for interpolated
	lunar apsides. With ephemeris positions close to 0 Aries, speed
	calculations were completely wrong. E.g. swetest -pc
	-bj3670817.276275689 (speed = 1448042&deg; !)</p>
	<p class="western">Thanks, once more, to Thomas Mack, for testing
	the software so well.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="14">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636103"></a>
				Changes from version 1.70.00 to version 1.70.01</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Bug fixed in speed calculation for interpolated
	lunar apsides. Bug could result in program crashes if the speed flag
	was set.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="15">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636104"></a>
				Changes from version 1.67 to version 1.70</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">Update of
	algorithms to IAU standard recommendations:</span></p>
	<p class="western">All relevant IAU resolutions up to 2005 have been
	implemented. These include:</p>
	<p class="western">- the &quot;frame bias&quot; rotation from the
	JPL reference system ICRS to J2000. The correction of position ~=
	0.0068 arc sec in right ascension.</p>
	<p class="western">- the precession model P03
	(Capitaine/Wallace/Chapront 2003). The correction in longitude is
	smaller than 1 arc second from 1000 B.C. on.</p>
	<p class="western">- the nutation model IAU2000B (can be switched to
	IAU2000A)</p>
	<p class="western">- corrections to epsilon</p>
	<p class="western">- corrections to sidereal time</p>
	<p class="western">- fixed stars input data can be &quot;J2000&quot;
	or &quot;ICRS&quot;</p>
	<p class="western">- fixed stars conversion FK5 -&gt; J2000, where
	required</p>
	<p class="western">- fixed stars data file was updated with newer
	data 
	</p>
	<p class="western">- constants in sweph.h updated</p>
	<p class="western">For more info, see the documentation
	swisseph.doc, chapters 2.1.2.1-3.</p>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">- Ephemerides of &quot;interpolated lunar apogee
	and perigee&quot;, as published by Dieter Koch in 2000 (swetest
	-pcg).</p>
	<p class="western">  For more info, see the documentation
	swisseph.doc, chapter 2.2.4.</p>
	<p class="western">- House system according to Bogdan Krusinski
	(character &lsquo;U&rsquo;).</p>
	<p class="western">  For more info, see the documentation
	swisseph.doc, chapter 6.1.13.</p>
	<p class="western"><br/>

	</p>
	<p class="western">Bug fixes:</p>
	<p class="western">- Calculation of magnitude was wrong with
	asteroid numbers &lt; 10000 (10-nov-05)</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="16">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636105"></a>
				Changes from version 1.66 to version 1.67</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">Delta-T updated with new measured values for the
	years 2003 and 2004, and better estimates for 2005 and 2006.</p>
	<p class="western">Bug fixed #define SE_NFICT_ELEM 15 
	</p>
	<ol>
		<ol>
			<ol start="17">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636106"></a>
				Changes from version 1.65 to version 1.66</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">House system according to Morinus (system &lsquo;M&rsquo;).</p>
	<ol>
		<ol>
			<ol start="18">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636107"></a>
				Changes from version 1.64.01 to version 1.65.00</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">&lsquo;long&rsquo; variables were changed to
	&lsquo;INT32&rsquo; for 64-bit compilers.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="19">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636108"></a>
				Changes from version 1.64 to version 1.64.01</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">- Bug fixed in swe_fixstar(). Declinations
	between &ndash;1&deg; and 0&deg; were wrongly taken as positive.</p>
	<p class="western">Thanks to John Smith, Serbia, who found this bug.</p>
	<p class="western">- Several minor bug fixes and cosmetic code
	improvements suggested by Thomas Mack, Germany. 
	</p>
	<p class="western">  swetest.c: options &ndash;po and &ndash;pn work
	now. 
	</p>
	<p class="western">  Sweph.c: speed of mean node and mean lunar
	apogee were wrong in rare cases, near 0 Aries.</p>
	<ol>
		<ol>
			<ol start="20">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636109"></a>
				Changes from version 1.63 to version 1.64</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">1) Gauquelin sectors:</p>
	<p class="western">- swe_houses() etc. can be called with house
	system character &lsquo;G&rsquo; to calculate Gauquelin sector
	boundaries. 
	</p>
	<p class="western">- swe_house_pos() can be called with house system
	&lsquo;G&rsquo; to calculate sector positions of planets.</p>
	<p class="western">- swe_gauquelin_sector() is new and calculates
	Gauquelin sector positions with three methods: without ecl.
	latitude, with ecl. latitude, from rising and setting.</p>
	<p class="western"><br/>

	</p>
	<p class="western">2) Waldemath Black Moon elements have been added
	in seorbel.txt (with thanks to Graham Dawson). 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western">3) Occultations of the planets and fixed stars by
	the moon</p>
	<p class="western">- swe_lun_occult_when_loc() calculates
	occultations for a given geographic location</p>
	<p class="western">- swe_lun_occult_when_glob() calculates
	occultations globally</p>
	<p class="western"><br/>

	</p>
	<p class="western">4) Minor bug fixes in swe_fixstar() (Cartesian
	coordinates), solar eclipse functions, swe_rise_trans()</p>
	<p class="western"><br/>

	</p>
	<p class="western">5) sweclips.c integrated into swetest.c. Swetest
	now also calculates eclipses, occultations, risings and settings.</p>
	<p class="western"><br/>

	</p>
	<p class="western">6) new Delta T algorithms</p>
	<ol>
		<ol>
			<ol start="21">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636110"></a>
				Changes from version 1.62 to version 1.63</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">The option &ndash;house was added to swetest.c so
	that swetest.exe can now be used to compute complete horoscopes in
	textual mode.</p>
	<p class="western">Bux fix: a minor bug in function swe_co_trans was
	fixed. It never had an effect.</p>
	<ol>
		<ol>
			<ol start="22">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636111"></a>
				Changes from version 1.61.03 to version 1.62</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">1) Elements for hypothetical bodies that move
	around the earth (e.g. Selena/White Moon) can be added to the file
	seorbel.txt.</p>
	<p class="western">2) The software will be able to read asteroid
	files &gt; 55535. 
	</p>
	<p class="western"><br/>

	</p>
	<p class="western">Bug fixes: 
	</p>
	<p class="western">1) error in geocentric planetary descending nodes
	fixed</p>
	<p class="western">2) swe_calc() now allows hypothetical planets
	beyond SE_FICT_OFFSET + 15</p>
	<p class="western">3) position of hypothetical planets slightly
	corrected (&lt; 0.01 arc second)</p>
	<ol>
		<ol>
			<ol start="23">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636112"></a>
				Changes from version 1.61 to 1.61.01</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">1. swe_houses and swe_houses_armc now supports
	the Alcabitus house system. The function swe_house_pos() does not
	yet, because we wanted to release quickly on user request. 
	</p>
	<ol>
		<ol>
			<ol start="24">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636113"></a>
				Changes from version 1.60 to 1.61</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">1. Function swe_rise_trans(): Risings and
	settings also for disc center and without refraction 
	</p>
	<p class="western">2. &ldquo;topocentric&rdquo; house system added
	to swe_houses() and other house-related functions</p>
	<p class="western">3. Hypothetical planets (seorbel.txt), orbital
	elements with t terms are possible now (e.g. for Vulcan according to
	L.H. Weston)</p>
	<ol>
		<ol>
			<ol start="25">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636114"></a>
				Changes from version 1.51 to 1.60</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western"><span style="background: #ffff00">New features:</span></p>
	<p class="western">1. Universal time functions <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">swe_calc_ut()</font></font></font>,
	<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar_ut()</span></font></font></font>,
	etc.</p>
	<p class="western">2. Planetary nodes, <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">perihelia,
	aphelia, focal points</span></font></font></font></p>
	<p class="western">3. <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Risings,
	settings, and meridian transits</span></font></font></font> of the
	Moon, planets, asteroids, and stars.</p>
	<p class="western">4. Horizontal coordinates (<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">azimuth
	and altitude</span></font></font></font>)</p>
	<p class="western">5. Refraction</p>
	<p class="western">6. User-definable orbital elements</p>
	<p class="western">7. Asteroid names can be updated by user</p>
	<p class="western">8. Hitherto missing &quot;Personal Sensitive
	Points&quot; according to M. Munkasey.</p>
	<p class="western"><br/>

	</p>
	<p class="western">Minor bug fixes:</p>
	<ul>
		<li/>
<p class="western"><b>Astrometric lunar positions </b>(not
		relevant for astrology; <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc(tjd,
		SE_MOON, SEFLG_NOABERR))</span></font></font></font> had a maximum
		error of about 20 arc sec).</p>
		<li/>
<p class="western"><b>Topocentric lunar positions</b> (not
		relevant for common astrology): the ellipsoid shape of the earth
		was not correctly implemented. This resulted in an error of 2 - 3
		arc seconds. The new precision is 0.2 - 0.3 arc seconds,
		corresponding to about 500 m in geographic location. This is also
		the precision that Nasa's Horizon system provides for the
		topocentric moon. The planets are much better, of course.</p>
		<li/>
<p class="western"><b>Solar eclipse functions</b><i>:</i> The
		correction of the topocentric moon and another small bug fix lead
		to slightly different results of the solar eclipse functions. The
		improvement is within a few time seconds.</p>
	</ul>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="26">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636115"></a>
				Changes from version 1.50 to 1.51</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Minor bug fixes:</p>
	<ul>
		<li/>
<p class="western">J2000 coordinates for the lunar node and
		osculating apogee corrected. This bug did not affect ordinary
		computations like ecliptical or equatorial positions.</p>
		<li/>
<p class="western">minor bugs in swetest.c corrected</p>
		<li/>
<p class="western">sweclips.exe recompiled</p>
		<li/>
<p class="western">trace DLLs recompiled</p>
		<li/>
<p class="western">some VB5 declarations corrected</p>
	</ul>
	<ol>
		<ol>
			<ol start="27">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636116"></a>
				Changes from version 1.40 to 1.50</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">New:</span><font color="#ff0000">
	</font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SIDEREAL</span></font></font></font>
	planetary and house position.</p>
	<ul>
		<li/>
<p class="western">The fixed star file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font>
		has been improved and enlarged by Valentin Abramov, Tartu, Estonia.</p>
		<li/>
<p class="western">Stars have been ordered by constellation.
		Many names and alternative spellings have been added.</p>
		<li/>
<p class="western">Minor bug fix in solar eclipse functions,
		sometimes relevant in border-line cases annular/total,
		partial/total.</p>
		<li/>
<p class="western">J2000 coordinates for the lunar nodes were
		redefined: In versions before 1.50, the J2000 lunar nodes were the
		intersection points of the lunar orbit with the ecliptic of 2000.
		From 1.50 on, they are defined as the intersection points with the
		ecliptic of date, referred to the coordinate system of the ecliptic
		of J2000.</p>
	</ul>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="28">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636117"></a>
				Changes from version 1.31 to 1.40</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">New:</span><font color="#ff0000">
	</font>Function for several planetary phenomena added</p>
	<p class="western">Bug fix in <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sol_ecl_when_glob()</span></font></font></font>.
	The time for maximum eclipse at local apparent noon (tret[1]) was
	sometimes wrong. When called from VB5, the program crashed.</p>
	<p class="western"><br/>

	</p>
	<ol>
		<ol>
			<ol start="29">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636118"></a>
				Changes from version 1.30 to 1.31</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><span style="background: #ffff00">New:</span>
	Eclipse functions added.</p>
	<p class="western">Minor bug fix: with previous versions, the
	function<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swe_get_planet_name()</span></font></font></font> got the name
	wrong, if it was an asteroid name and consisted of two or more words
	(e.g. Van Gogh)</p>
	<ol>
		<ol>
			<ol start="30">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636119"></a>
				Changes from version 1.27 to 1.30</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">The time range of the Swiss Ephemeris has been
	extended by numerical integration. The Swiss Ephemeris now covers
	the period <b>2 Jan 5401 BC</b> to <b>31 Dec 5399 AD</b>. To use the
	extended time range, the appropriate ephemeris files must be
	downloaded.</p>
	<p class="western">In the JPL mode and the Moshier mode the time
	range remains unchanged at 3000 BC to 3000 AD.</p>
	<p class="western"><font color="#ffffff"><span style="background: #0000ff">
	</span></font><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">IMPORTANT
	 </span></b></font></font>
	</p>
	<p class="western">Chiron&rsquo;s ephemeris is now restricted to the
	time range <b>650 AD &ndash; 4650 AD</b>; for explanations, see
	<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swisseph.doc.</span></font></font></font></p>
	<p class="western">Outside this time range, Swiss Ephemeris returns
	an error code and a position value 0. You must handle this situation
	in your application. There is a similar restriction with Pholus (as
	with some other asteroids).</p>
	<ol>
		<ol>
			<ol start="31">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636120"></a>
				Changes from version 1.26 to 1.27</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">The environment variable <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SE_EPHE_PATH</span></font></font></font>
	is now always overriding the call to <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_set_ephe_path()</span></font></font></font>
	if it is set and contains a value. 
	</p>
	<p class="western">Both the environment variable and the function
	argument can now contain a list of directory names where the
	ephemeris files are looked for. Before this release, they could
	contain only a single directory name.</p>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636121"></a>
				Changes from version 1.25 to 1.26</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western">The asteroid subdirectory ephe/asteroid
		has been split into directories <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ast0,
		ast1</span></font></font></font>,... with 1000 asteroid files per
		directory.  
		</p>
		<li/>
<p class="western">source code is included with the
		distribution under the new licensing model</p>
		<li/>
<p class="western">the Placalc compatibility API (<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swepcalc.h</span></font></font></font>)
		is now documented</p>
		<li/>
<p class="western">There is a new function to compute the
		equation of time <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_time_equ().</span></font></font></font></p>
		<li/>
<p class="western">Improvements of ephemerides:</p>
		<li/>
<p class="western"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">ATTENTION:</span></b></font></font>
		Ephemeris of <b>16 Psyche</b> has been wrong so far ! By a
		mysterious mistake it has been identical to 3 Juno.</p>
		<li/>
<p class="western">Ephemerides of Ceres, Pallas, Vesta, Juno,
		Chiron and Pholus have been reintegrated, with more recent orbital
		elements and parameters (e.g. asteroid masses) that are more
		appropriate to Bowells database of minor planets elements. The
		differences are small, though.</p>
		<li/>
<p class="western">Note that the <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478116834">CHIRON</a></u></font></font></font>
		ephemeris is should not be used before <b>700 A.D.</b></p>
		<li/>
<p class="western">Minor bug fix in computation of
		topocentric planet positions. Nutation has not been correcly
		considered in observer&rsquo;s position. This has lead to an error
		of 1 milliarcsec with the planets and 0.1&rdquo; with the moon.</p>
		<li/>
<p class="western">We have inactivated the coordinate
		transformation from <b>IERS</b> to <b>FK5</b>, because there is
		still no generally accepted algorithm. This results in a difference
		of a few milliarcsec from former releases. 
		</p>
	</ul>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636122"></a>
				Changes from version 1.22 to 1.23</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western">The topocentric flag now also works with
		the fixed stars. (The effect of diurnal aberration is a few 0.1 arc
		second.)</p>
		<li/>
<p class="western">Bug fix: The return position of
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_cotrans_sp()</span></font></font></font>
		has been 0, when the input distance was 0.</p>
		<li/>
<p class="western">About 140 asteroids are on the CD.</p>
	</ul>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636123"></a>
				Changes from version 1.21 to 1.22</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western">Asteroid ephemerides have been moved to
		the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ephe\asteroid</span></font></font></font>.</p>
		<li/>
<p class="western">The DLL has been modified in such a way
		that it can find them there.</p>
		<li/>
<p class="western">All asteroids with catalogue number below
		90 are on the CD and a few additional ones.</p>
	</ul>
	<ol>
		<ol>
			<ol start="35">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636124"></a>
				Changes from version 1.20 to 1.21</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">Sample program and function declarations for
	<font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478117215">Delphi
	1.0  </a></u></font></font></font> added.</p>
	<ol>
		<ol>
			<ol start="36">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636125"></a>
				Changes from version 1.11 to 1.20</h3>
			</ol>
		</ol>
	</ol>
	<p style="margin-right: -0.02in"><span style="background: #ffff00">New:</span></p>
	<ul>
		<li/>
<p style="margin-right: -0.02in">A flag bit <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SEFLG_TOPOCTR</span></font></font></font>
		allows to compute topocentric planet positions. Before calling
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>,
		call <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477841944">swe_set_topo</a></u></font></font></font>.</p>
		<li/>
<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862955">swe_house_pos</a></u></font></font></font>
		for computation of the house position of a given planet. See
		description in <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SWISSEPH.DOC</span></font></font></font>,
		Chapter 3.1 <font color="#000080">&rdquo;Geocentric and topocentric
		positions&rdquo;</font>. A bug has been fixed that has sometimes
		turned up, when the JPL ephemeris was closed. (An error in memory
		allocation and freeing.)</p>
		<li/>
<p style="margin-right: -0.02in">Bug fix: <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_cotrans()
		</span></font></font></font>did not work in former versions. 
		</p>
	</ul>
	<ol>
		<ol>
			<ol start="37">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636126"></a>
				Changes from version 1.10 to 1.11</h3>
			</ol>
		</ol>
	</ol>
	<p class="western">No bug fix, but two minor improvements:</p>
	<p class="western"><br/>

	</p>
	<ul>
		<li/>
<p class="western">A change of the ephemeris bits in
		parameter <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font>
		of function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
		usually forces an implicit <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_close()</span></font></font></font>
		operation. Inside a loop, e.g. for drawing a graphical epehemeris,
		this can slow down a program. Before this release, two calls with
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
		= 0</font></font></font> and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">iflag
		= SEFLG_SWIEPH</font></font></font> where considered different,
		though in fact the same ephemeris is used. Now these two calls are
		considered identical, and <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_close()</span></font></font></font>
		is not performed implicitly.<br>For calls with the
		pseudo-planet-number <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">ipl
		= SE_ECL_NUT</font></font></font>, whose result does not depend on
		the chosen ephemeris, the ephemeris bits are ignored completely and
		<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_close()</span></font></font></font>
		is never performed implicitly.</p>
		<li/>
<p class="western">In former versions, calls of the Moshier
		ephemeris with speed and without speed flag have returned a very
		small difference in position (0.01 arc second). The reason was
		that, for precise speed, <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
		had to do an additional iteration in the light-time calculation.
		The two calls now return identical position data.</p>
	</ul>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636127"></a>
				Changes from version 1.04 to 1.10</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western">A bug has been fixed that sometimes
		occurred in <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc()</span></font></font></font>
		when the user changed <font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>iflag</b></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
		between calls</span></font></font></font>, e.g. the speed flag. The
		first call for a planet which had been previously computed for the
		same time, but a different iflag, could return incorrect results,
		if Sun, Moon or Earth had been computed for a different time in
		between these two calls.</p>
		<li/>
<p class="western">More asteroids have been added in this
		release.</p>
	</ul>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636128"></a>
				Changes from Version 1.03 to 1.04</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western">A bug has been fixed that has sometimes
		lead to a floating point exception when the speed flag was not
		specified and an unusual sequence of planets was called.</p>
		<li/>
<p class="western">Additional asteroid files have been
		included. 
		</p>
	</ul>
	<p><br/>

	</p>
	<p class="western"><font color="#ffffff"><span style="background: #0000ff">
	</span></font><font color="#ffffff"><b><span style="background: #0000ff">Attention:
	</span></b></font><font color="#ffffff"><b> </b></font> Use these
	files only with the new DLL. Previous versions cannot deal with more
	than one additional asteroid besides the main asteroids. This error
	did not appear so far, because only 433 Eros was on our CD-ROM.</p>
	<ol>
		<ol>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636129"></a>
				Changes from Version 1.02 to 1.03</h3>
			</ol>
		</ol>
	</ol>
	<ul>
		<li/>
<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>
		has a better implementation for the search of a specific star. If a
		number is given, the non-comment lines in the file <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat</span></font></font></font>
		are now counted from 1; they where counted from zero in earlier
		releases.</p>
		<li/>
<p class="western"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar()</span></font></font></font>
		now also computes heliocentric and barycentric fixed stars
		positions. Former versions Swiss Ephemeris always returned
		geocentric positions, even if the heliocentric or the barycentric
		flag bit was set.</p>
		<li/>
<p class="western">The <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Galactic
		Cente</span></font></font></font>r has been included in
		<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixstars.cat.</span></font></font></font></p>
		<li/>
<p class="western">Two small bugs were fixed in the
		implementation of the barycentric Sun and planets. Under unusual
		conditions, e.g. if the caller switched from JPL to Swiss Ephemeris
		or vice-versa, an error of an arc second appeared with the
		barycentric sun and 0.001 arc sec with the barycentric planets.
		However, this did not touch normal geocentric computations.</p>
		<li/>
<p class="western">Some VB declarations in swedecl.txt
		contained errors and have been fixed. The VB sample has been
		extended to show fixed star and house calculation. This fix is only
		in 1.03 releases from 29-oct-97 or later, not in the two 1.03
		CDROMs we burned on 28-oct-97.</p>
	</ul>
	<ol>
		<ol>
			<ol start="41">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636130"></a>
				Changes from Version 1.01 to 1.02</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<ul>
		<li/>
<p class="western">The function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses()</span></font></font></font>
		has been changed.</p>
		<li/>
<p class="western">A new function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses_armc()</span></font></font></font>
		has been added which can be used when a sidereal time (<font face="Times New Roman, serif"><font size="3" style="font-size: 12pt"><b>armc</b></font></font>)
		is given but no actual date is known, e.g. for Composite charts.</p>
		<li/>
<p class="western">The body numbers of the hypothetical
		bodies have been changed.</p>
		<li/>
<p class="western">The development environment for the DLL
		and the sample programs have been changed from Watcom 10.5 to
		Microsoft Visual C++ (5.0 and 1.5). This was necessary because the
		Watcom compiler created LIB files which were not compatible with
		Microsoft C. The LIB files created by Visual C however are
		compatible with Watcom.</p>
	</ul>
	<ol>
		<ol>
			<ol start="42">
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636131"></a>
				Changes from Version 1.00  to 1.01</h3>
				<ol>
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636132"></a>
					1. Sidereal time</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western">The computation of the sidereal time is now much
	easier. The obliquity and nutation are now computed inside the
	function. The structure of the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sidtime()</span></font></font></font>
	has been changed as follows:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">/*
	sidereal time */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	swe_sidtime(double tjd_ut); 	/* Julian day number, UT */</font></font></font></p>
	<p class="western">The old functions <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_sidtime0()</span></font></font></font>
	has been kept for backward compatibility.</p>
	<ol>
		<ol>
			<ol>
				<ol start="2">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636133"></a>
					2. Houses</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western">The calculation of houses has been simplified as
	well. Moreover, the Vertex has been added. 
	</p>
	<p class="western">The version <b>1.01</b> structure of<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	swe_houses()</span></font></font></font> is:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">int
	<b>swe_houses</b>(</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	tjd_ut, 	/* julian day number, UT */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolat, 	/* geographic latitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	geolon, 	/* geographic longitude, in degrees */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	char
	hsys, 		/* house method, one of the letters PKRCAV */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*asc,	/* address for ascendant */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*mc,		/* address for mc */			</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*armc,	/* address for armc */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">	double
	*vertex, 	/* address for vertex */</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">double
	*cusps);	/* address for 13 doubles: 1 empty + 12 houses */</font></font></font></p>
	<p><br/>

	</p>
	<p>Note also, that the indices of the cusps have changed:</p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusp[0]
	= 0		(before: cusp[0] = house 1)</font></font></font></p>
	<p style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusp[1]
	= house 1		(before: cusp[1] = house 2)</font></font></font></p>
	<p lang="fr-FR" style="margin-left: 0.8in; text-indent: -0.4in"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt">cusp[2]
	= house 2		(etc.)</font></font></font></p>
	<p lang="fr-FR" class="western">etc.</p>
	<ol>
		<ol>
			<ol>
				<ol start="3">
					<li/>
<h4 class="western" style="text-indent: 0in"><a name="__RefHeading___Toc365636134"></a>
					3. Ecliptic obliquity and nutation</h4>
				</ol>
			</ol>
		</ol>
	</ol>
	<p class="western">The new pseudo-body<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
	SE_ECL_NUT </span></font></font></font>replaces the two separate
	pseudo-bodies <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">SE_ECLIPTIC</span></font></font></font>
	and SE_NUTATION in the function <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc().</span></font></font></font></p>
	<ol>
		<ol start="29">
			<li/>
<h2 class="western"><a name="__RefHeading___Toc365636135"></a>
			Appendix A</h2>
			<ol>
				<li/>
<h3 class="western"><a name="__RefHeading___Toc365636136"></a>
				What is missing ?</h3>
			</ol>
		</ol>
	</ol>
	<p class="western"><br/>

	</p>
	<p class="western">There are some important limits in regard to what
	you can expect from an ephemeris module. We do not tell you:</p>
	<p class="western"><a name="_Hlk477486313"></a>how to draw a chart</p>
	<p class="western"><a name="_Hlk477487992"></a><br/>

	</p>
	<ul>
		<li/>
<p class="western">which <font color="#000000"><span style="letter-spacing: 1.0pt"><span lang="en-US">glyphs
		to use</span></span></font></p>
		<li/>
<p class="western"><font color="#000000"><span style="letter-spacing: 1.0pt"><span lang="en-US">when
		a planet is stationary</span></span></font> (it depends on you how
		slow you want it to be)</p>
		<li/>
<p class="western">how to compute universal time from local
		time, i.e. what timezone a place is located in</p>
		<li/>
<p class="western">how to compute progressions, solar
		returns, composit charts, transit times and a lot else</p>
		<li/>
<p class="western"><font color="#000000"><span style="letter-spacing: 1.0pt"><span lang="en-US">what
		the different calendars</span></span></font> (Julian, Gregorian,
		..) mean and when they applied.</p>
	</ul>
	<ol>
		<ol start="30">
			<li/>
<h2 class="western" style="page-break-before: always"><a name="__RefHeading___Toc365636137"></a>
			Index</h2>
		</ol>
	</ol>
	<table width="643" cellpadding="7" cellspacing="0">
		<col width="191">
		<col width="424">
		<tr>
			<td width="191" height="12" style="border: none; padding: 0in">
				<p align="center" style="margin-right: -0.02in"><font size="4" style="font-size: 14pt"><b>Flag</b></font></p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt"><b>Body,
				Point</b></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833574"><span lang="de-CH">Default
				ephemeris flag</span></a></u></font></font></font></p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477320798">Additional
				asteroids</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321234">Ephemeris
				flags</a></u></font></font></font></p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477320919">Fictitious
				planets</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321208">Flag
				bits</a></u></font></font></font></p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477834622">Find
				a name</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321274">Speed
				flag</a></u></font></font></font></p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477829414">How
				to compute</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477832844">Special
				body SE_ECL_NUT</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="424" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477832209"><span lang="fr-FR">Uranian
				planets</span></a></u></font></font></font></p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<table width="643" cellpadding="7" cellspacing="0">
		<col width="191">
		<col width="136">
		<col width="274">
		<tr>
			<td width="191" height="14" style="border: none; padding: 0in">
				<p lang="fr-FR" class="western" align="center"><font size="4" style="font-size: 14pt"><b>Position</b></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt"><b>What
				is..</b></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt"><b>How
				to&hellip;</b></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321696">Astrometric</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842381">Ayanamsha</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlt477860200">Change
				the tidal acceleration</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321673">Barycentric</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477831317">Dynamical
				Time</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862421">compute
				sidereal composite house cusps</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833734">Equatorial</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477830987">Ephemeris
				Time</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862144">compute
				the composite ecliptic obliquity</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321658">Heliocentric</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477840429">Equation
				of time</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477837327">Draw
				the eclipse path</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" height="8" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321486">J2000</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477330118">Julian
				day</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477320958">Get
				obliquity and nutation</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477325102">Position
				and Speed</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477330492">Universal
				Time</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477837444">Get
				the umbra/penumbra limits</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833841">Radians/degrees</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477861184">Vertex/Anivertex</a></u></font></font></font></p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477835264">Search
				for a star</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321473">Sidereal</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321265">Switch
				the coordinate systems</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321643">Topocentric</a></u></font></font></font><b>
				</b>
				</p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321511">Switch
				true/mean equinox of date</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477834072">True
				geometrical position</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477321411">True/apparent</a></u></font></font></font></p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="191" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477833826">x,
				y, z </a></u></font></font></font>
				</p>
			</td>
			<td width="136" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="274" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<p class="western"><br/>

	</p>
	<p class="western"><br/>

	</p>
	<table width="643" cellpadding="7" cellspacing="0">
		<col width="293">
		<col width="322">
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p align="center" style="margin-right: -0.02in"><font size="4" style="font-size: 14pt"><b>Errors</b></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p align="center" style="margin-right: -0.02in"><font size="4" style="font-size: 14pt"><b>Variable</b></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477863570">Asteroids</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864589">Armc</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864373">Avoiding
				Koch houses</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862569">Ascmc[..]</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864058">Ephemeris
				path length</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477328180">Atpress</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477831517">Errors
				and return values</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477328191">Attemp</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477831866">Fatal
				error</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842217">Ayan_t0</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864194">House
				cusps beyond the polar circle</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862529">Cusps[..]</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864273">Koch
				houses limitations</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862235">Eps</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477863958">Overriding
				environment variables</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329877">Gregflag</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477863706">Speeds
				of the fixed stars</a></u></font></font></font></p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862719"><span lang="de-CH">Hsys</span></a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p lang="de-CH" style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477831658"><span lang="de-CH">Iflag</span></a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p lang="de-CH" style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477320729"><span lang="de-CH">Ipl</span></a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p lang="de-CH" style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477836150">Method</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477328165">Rsmi</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842160">Sid_mode
				</a></u></font></font></font>
				</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="293" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><br/>

				</p>
			</td>
			<td width="322" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477835149">Star</a></u></font></font></font></p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<table width="643" cellpadding="7" cellspacing="0">
		<col width="197">
		<col width="418">
		<tr>
			<td width="197" height="14" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt"><b>Function</b></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt">Description</font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329169">Swe_azalt</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes the horizontal coordinates (<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">azimuth
				and altitude</span></font></font></font>)</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329516">Swe_azalt_rev</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">computes either ecliptical or equatorial
				coordinates from azimuth and true altitude</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477320293">swe_calc</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">computes the positions of planets, asteroids,
				lunar nodes and apogees</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477319384">swe_calc_ut</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="right">Modified version of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_calc</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477844023">swe_close</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">releases most resources used by the Swiss
				Ephemeris</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111295">swe_cotrans</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Coordinate transformation, from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ecliptic
				to equator</span></font></font></font> or vice-versa</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111388">swe_cotrans_sp</a></u></font></font></font><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span style="text-decoration: none">
				</span></font></font></font>
				</p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Coordinate transformation of <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">position
				and speed</span></font></font></font>, from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ecliptic
				to equator</span></font></font></font> or vice-versa</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477331070">swe_date_conversion</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">computes a <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Julian
				day from year, month, day, time</span></font></font></font> and
				<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">checks</span></font></font></font>
				whether a date is legal</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111399">swe_degnorm</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western"><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">normalization</span></font></font></font>
				of any degree number to the range 0 ... 360</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477840778">swe_deltat</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes the difference between <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Universal
				Time (UT, GMT)</span></font></font></font> and <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Ephemeris
				time</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477325176">swe_fixstar</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">computes <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">fixed
				stars</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477325162">swe_fixstar_ut</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="right">Modified version of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_fixstar</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477856443">swe_get_ayanamsa</a></u></font></font></font>
								</p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes the <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842381">ayanamsha</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477856452">swe_get_ayanamsa_ut</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="right">Modified version of
				<font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_get_ayanamsa</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477324852">swe_get_planet_name</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Finds a planetary or asteroid <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">name
				by given number</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477840792">swe_get_tid_acc</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Gets the tidal acceleration</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477862955">swe_house_pos</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">compute the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">house
				position</span></font></font></font> of a given body for a given
				ARMC</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477861239">swe_houses</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Calculates houses for a given date and
				geographic position</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477861854">swe_houses_armc</a></u></font></font></font><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span style="text-decoration: none">
				</span></font></font></font>
				</p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">computes houses from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ARMC</span></font></font></font>
				(e.g. with the composite horoscope which has no date)</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477861861">swe_houses_ex</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">the same as <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_houses()</span></font></font></font>.
				Has a parameter, which can be used, if <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
				sidereal</span></font></font></font><span style="text-transform: uppercase"><font color="#800000"><b>
				</b></font></span>house positions are wanted</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329697">swe_julday</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Conversion from day, month, year, time to
				Julian date</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326863">swe_lun_eclipse_how</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes the attributes of a lunar eclipse at
				a given time</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326807">swe_lun_eclipse_when</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Finds the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">next
				lunar eclipse</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477325759">swe_nod_aps</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes planetary nodes and apsides:
				<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">perihelia,
				aphelia, second focal points of the orbital ellipses</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477325741">swe_nod_aps_ut</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="right">Modified version of <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_nod_aps</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329016">swe_pheno</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Function computes <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">phase,
				phase angle, elongation, apparent diameter, apparent magnitude</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477328995">swe_pheno_ut</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="right">Modified version of<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">
				</span></font></font></font><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_pheno</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329626">swe_refrac</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">The <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">true/apparent
				altitude </span></font></font></font><font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK"><font color="#000000"><span lang="en-US">c</span></font></span></font></font></font>onvertion</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477329710">swe_revjul
				</a></u></font></font></font>
				</p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Conversion from <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">Julian
				date</span></font></font></font> to <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">day,
				month, year, time</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477327296">swe_rise_trans</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Computes the times of <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">rising,
				setting and meridian transits</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477843944">swe_set_ephe_path</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Set application&rsquo;s own <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">ephemeris
				path</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477844051">swe_set_jpl_file</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Sets <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">JPL
				ephemeris</span></font></font></font> directory path</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477842044">swe_set_sid_mode</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Specifies the <font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477860745">sidereal
				modes</a></u></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477840801">swe_set_tid_acc</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Sets <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">tidal
				acceleration</span></font></font></font> used in <font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">swe_deltat()</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477841944">swe_set_topo</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Sets what geographic position is to be used
				before <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">topocentric</span></font></font></font>
				planet positions for a certain birth place can be computed</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p style="margin-right: -0.02in"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864660">swe_sidtime</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">returns <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sidereal
				time</span></font></font></font> on Julian day</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477864667">swe_sidtime0</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">returns <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">sidereal
				time</span></font></font></font> on Julian day, obliquity and
				nutation</p>
				<p class="western"><br/>

				</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326421">swe_sol_eclipse_how</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Calculates the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">solar
				eclipse</span></font></font></font> attributes for a given
				<font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">geographic
				position and time</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326215">swe_sol_eclipse_when_glob</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">finds the <font color="#008080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><span lang="da-DK">next
				solar eclipse globally</span></font></font></font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326105">swe_sol_eclipse_when_loc</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">finds the next solar eclipse for a given
				geographic position</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477326645">swe_sol_eclipse_where</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">finds out the geographic position where an
				eclipse is</p>
				<p class="western">central or maximal</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk477330339">swe_time_equ</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">returns the difference between local apparent
				and local mean time</p>
			</td>
		</tr>
	</table>
	<p class="western"><br/>

	</p>
	<table width="643" cellpadding="7" cellspacing="0">
		<col width="197">
		<col width="418">
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt"><b>PlaCalc
				function</b></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western" align="center"><font size="4" style="font-size: 14pt">Description</font></p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western" align="justify"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111710">swe_csnorm</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Normalize argument into interval [0..DEG360]</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p class="western"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478112081">swe_cs2degstr</a></u></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Centiseconds -&gt; degrees string</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478112074">swe_cs2lonlatstr</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Centiseconds -&gt; longitude or latitude
				string</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478112061">swe_cs2timestr</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Centiseconds -&gt; time string</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111937">swe_csroundsec</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Round second, but at 29.5959 always down</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111943">swe_d2l</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Double to long with rounding, no overflow
				check</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111951">swe_day_of_week</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Day of week Monday = 0, ... Sunday = 6</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p align="justify"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111918">swe_difcs2n</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Distance in centisecs p1 &ndash; p2 normalized
				to [-180..180]</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111870">swe_difcsn</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Distance in centisecs p1 &ndash; p2 normalized
				to [0..360]</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p align="justify"><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111928">swe_difdeg2n</a></u></font></font></font></font></font></font></p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Distance in degrees</p>
			</td>
		</tr>
		<tr valign="top">
			<td width="197" style="border: none; padding: 0in">
				<p><font color="#000080"><font face="Verdana, sans-serif"><font size="2" style="font-size: 9pt"><font color="#0000ff"><font face="Verdana, sans-serif"><font size="2" style="font-size: 10pt"><u><a class="western" href="#_Hlk478111884">swe_difdegn
				</a></u></font></font></font></font></font></font>
				</p>
			</td>
			<td width="418" style="border: none; padding: 0in">
				<p class="western">Distance in degrees</p>
			</td>
		</tr>
	</table>
	<p class="western" align="center"><br/>

	</p>
	<p class="western" align="center"><font color="#ffffff"><font face="Arial, sans-serif"><b><span style="background: #0000ff">End
	of SWEPHPRG.DOC</span></b></font></font></p>
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