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| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palPa | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     HA, Dec to Parallactic Angle | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     double palPa( double ha, double dec, double phi ); | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | *  Arguments: | 
| 19 |  |  |  |  |  |  | *     ha = double (Given) | 
| 20 |  |  |  |  |  |  | *        Hour angle in radians (Geocentric apparent) | 
| 21 |  |  |  |  |  |  | *     dec = double (Given) | 
| 22 |  |  |  |  |  |  | *        Declination in radians (Geocentric apparent) | 
| 23 |  |  |  |  |  |  | *     phi = double (Given) | 
| 24 |  |  |  |  |  |  | *        Observatory latitude in radians (geodetic) | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | *  Returned Value: | 
| 27 |  |  |  |  |  |  | *     palPa = double | 
| 28 |  |  |  |  |  |  | *        Parallactic angle in the range -pi to +pi. | 
| 29 |  |  |  |  |  |  |  | 
| 30 |  |  |  |  |  |  | *  Description: | 
| 31 |  |  |  |  |  |  | *     Converts HA, Dec to Parallactic Angle. | 
| 32 |  |  |  |  |  |  |  | 
| 33 |  |  |  |  |  |  | *  Authors: | 
| 34 |  |  |  |  |  |  | *     PTW: Patrick T. Wallace | 
| 35 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 36 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 37 |  |  |  |  |  |  |  | 
| 38 |  |  |  |  |  |  | *  Notes: | 
| 39 |  |  |  |  |  |  | *     - The parallactic angle at a point in the sky is the position | 
| 40 |  |  |  |  |  |  | *       angle of the vertical, i.e. the angle between the direction to | 
| 41 |  |  |  |  |  |  | *       the pole and to the zenith.  In precise applications care must | 
| 42 |  |  |  |  |  |  | *       be taken only to use geocentric apparent HA,Dec and to consider | 
| 43 |  |  |  |  |  |  | *       separately the effects of atmospheric refraction and telescope | 
| 44 |  |  |  |  |  |  | *       mount errors. | 
| 45 |  |  |  |  |  |  | *     - At the pole a zero result is returned. | 
| 46 |  |  |  |  |  |  |  | 
| 47 |  |  |  |  |  |  | *  History: | 
| 48 |  |  |  |  |  |  | *     2012-03-02 (TIMJ): | 
| 49 |  |  |  |  |  |  | *        Initial version | 
| 50 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 51 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 52 |  |  |  |  |  |  |  | 
| 53 |  |  |  |  |  |  | *  Copyright: | 
| 54 |  |  |  |  |  |  | *     Copyright (C) 1995 Rutherford Appleton Laboratory | 
| 55 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 56 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 57 |  |  |  |  |  |  |  | 
| 58 |  |  |  |  |  |  | *  Licence: | 
| 59 |  |  |  |  |  |  | *     This program is free software; you can redistribute it and/or | 
| 60 |  |  |  |  |  |  | *     modify it under the terms of the GNU General Public License as | 
| 61 |  |  |  |  |  |  | *     published by the Free Software Foundation; either version 3 of | 
| 62 |  |  |  |  |  |  | *     the License, or (at your option) any later version. | 
| 63 |  |  |  |  |  |  | * | 
| 64 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be | 
| 65 |  |  |  |  |  |  | *     useful, but WITHOUT ANY WARRANTY; without even the implied | 
| 66 |  |  |  |  |  |  | *     warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR | 
| 67 |  |  |  |  |  |  | *     PURPOSE. See the GNU General Public License for more details. | 
| 68 |  |  |  |  |  |  | * | 
| 69 |  |  |  |  |  |  | *     You should have received a copy of the GNU General Public License | 
| 70 |  |  |  |  |  |  | *     along with this program; if not, write to the Free Software | 
| 71 |  |  |  |  |  |  | *     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, | 
| 72 |  |  |  |  |  |  | *     MA 02110-1301, USA. | 
| 73 |  |  |  |  |  |  |  | 
| 74 |  |  |  |  |  |  | *  Bugs: | 
| 75 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 76 |  |  |  |  |  |  | *- | 
| 77 |  |  |  |  |  |  | */ | 
| 78 |  |  |  |  |  |  |  | 
| 79 |  |  |  |  |  |  | #include "pal.h" | 
| 80 |  |  |  |  |  |  |  | 
| 81 |  |  |  |  |  |  | #include | 
| 82 |  |  |  |  |  |  |  | 
| 83 | 0 |  |  |  |  |  | double palPa( double ha, double dec, double phi ) { | 
| 84 |  |  |  |  |  |  | double cp, sqsz, cqsz; | 
| 85 |  |  |  |  |  |  |  | 
| 86 | 0 |  |  |  |  |  | cp = cos(phi); | 
| 87 | 0 |  |  |  |  |  | sqsz = cp * sin(ha); | 
| 88 | 0 |  |  |  |  |  | cqsz = sin(phi) * cos(dec) - cp * sin(dec) * cos(ha); | 
| 89 | 0 | 0 |  |  |  |  | if (sqsz == 0.0 && cqsz == 0.0) cqsz = 1.0; | 
| 90 | 0 |  |  |  |  |  | return atan2( sqsz, cqsz ); | 
| 91 |  |  |  |  |  |  | } |