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| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palEtrms | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     Compute the E-terms vector | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     void palEtrms ( double ep, double ev[3] ); | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | *  Arguments: | 
| 19 |  |  |  |  |  |  | *     ep = double (Given) | 
| 20 |  |  |  |  |  |  | *        Besselian epoch | 
| 21 |  |  |  |  |  |  | *     ev = double [3] (Returned) | 
| 22 |  |  |  |  |  |  | *        E-terms as (dx,dy,dz) | 
| 23 |  |  |  |  |  |  |  | 
| 24 |  |  |  |  |  |  | *  Description: | 
| 25 |  |  |  |  |  |  | *     Computes the E-terms (elliptic component of annual aberration) | 
| 26 |  |  |  |  |  |  | *     vector. | 
| 27 |  |  |  |  |  |  | * | 
| 28 |  |  |  |  |  |  | *     Note the use of the J2000 aberration constant (20.49552 arcsec). | 
| 29 |  |  |  |  |  |  | *     This is a reflection of the fact that the E-terms embodied in | 
| 30 |  |  |  |  |  |  | *     existing star catalogues were computed from a variety of | 
| 31 |  |  |  |  |  |  | *     aberration constants.  Rather than adopting one of the old | 
| 32 |  |  |  |  |  |  | *     constants the latest value is used here. | 
| 33 |  |  |  |  |  |  | * | 
| 34 |  |  |  |  |  |  | *  See also: | 
| 35 |  |  |  |  |  |  | *     - Smith, C.A. et al., 1989.  Astr.J. 97, 265. | 
| 36 |  |  |  |  |  |  | *     - Yallop, B.D. et al., 1989.  Astr.J. 97, 274. | 
| 37 |  |  |  |  |  |  |  | 
| 38 |  |  |  |  |  |  | *  Authors: | 
| 39 |  |  |  |  |  |  | *     PTW: Pat Wallace (STFC) | 
| 40 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 41 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 42 |  |  |  |  |  |  |  | 
| 43 |  |  |  |  |  |  | *  History: | 
| 44 |  |  |  |  |  |  | *     2012-02-12 (TIMJ): | 
| 45 |  |  |  |  |  |  | *        Initial version with documentation taken from Fortran SLA | 
| 46 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 47 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 48 |  |  |  |  |  |  |  | 
| 49 |  |  |  |  |  |  | *  Copyright: | 
| 50 |  |  |  |  |  |  | *     Copyright (C) 1996 Rutherford Appleton Laboratory | 
| 51 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 52 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 53 |  |  |  |  |  |  |  | 
| 54 |  |  |  |  |  |  | *  Licence: | 
| 55 |  |  |  |  |  |  | *     This program is free software: you can redistribute it and/or | 
| 56 |  |  |  |  |  |  | *     modify it under the terms of the GNU Lesser General Public | 
| 57 |  |  |  |  |  |  | *     License as published by the Free Software Foundation, either | 
| 58 |  |  |  |  |  |  | *     version 3 of the License, or (at your option) any later | 
| 59 |  |  |  |  |  |  | *     version. | 
| 60 |  |  |  |  |  |  | * | 
| 61 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be useful, | 
| 62 |  |  |  |  |  |  | *     but WITHOUT ANY WARRANTY; without even the implied warranty of | 
| 63 |  |  |  |  |  |  | *     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
| 64 |  |  |  |  |  |  | *     GNU Lesser General Public License for more details. | 
| 65 |  |  |  |  |  |  | * | 
| 66 |  |  |  |  |  |  | *     You should have received a copy of the GNU Lesser General | 
| 67 |  |  |  |  |  |  | *     License along with this program.  If not, see | 
| 68 |  |  |  |  |  |  | *     . | 
| 69 |  |  |  |  |  |  |  | 
| 70 |  |  |  |  |  |  | *  Bugs: | 
| 71 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 72 |  |  |  |  |  |  | *- | 
| 73 |  |  |  |  |  |  | */ | 
| 74 |  |  |  |  |  |  |  | 
| 75 |  |  |  |  |  |  | #include "pal.h" | 
| 76 |  |  |  |  |  |  | #include "palmac.h" | 
| 77 |  |  |  |  |  |  |  | 
| 78 | 2 |  |  |  |  |  | void palEtrms ( double ep, double ev[3] ) { | 
| 79 |  |  |  |  |  |  |  | 
| 80 |  |  |  |  |  |  | /* Use the J2000 aberration constant */ | 
| 81 |  |  |  |  |  |  | const double ABCONST = 20.49552; | 
| 82 |  |  |  |  |  |  |  | 
| 83 |  |  |  |  |  |  | double t, e, e0, p, ek, cp; | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | /*  Julian centuries since B1950 */ | 
| 86 | 2 |  |  |  |  |  | t = (ep - 1950.) * .0100002135903; | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | /*  Eccentricity */ | 
| 89 | 2 |  |  |  |  |  | e = .01673011 - (t * 1.26e-7 + 4.193e-5) * t; | 
| 90 |  |  |  |  |  |  |  | 
| 91 |  |  |  |  |  |  | /*  Mean obliquity */ | 
| 92 | 2 |  |  |  |  |  | e0 = (84404.836 - ((t * .00181 + .00319) * t + 46.8495) * t) * | 
| 93 |  |  |  |  |  |  | PAL__DAS2R; | 
| 94 |  |  |  |  |  |  |  | 
| 95 |  |  |  |  |  |  | /*  Mean longitude of perihelion */ | 
| 96 | 2 |  |  |  |  |  | p = (((t * .012 + 1.65) * t + 6190.67) * t + 1015489.951) * | 
| 97 |  |  |  |  |  |  | PAL__DAS2R; | 
| 98 |  |  |  |  |  |  |  | 
| 99 |  |  |  |  |  |  | /*  E-terms */ | 
| 100 | 2 |  |  |  |  |  | ek = e * ABCONST * PAL__DAS2R; | 
| 101 | 2 |  |  |  |  |  | cp = cos(p); | 
| 102 | 2 |  |  |  |  |  | ev[0] = ek * sin(p); | 
| 103 | 2 |  |  |  |  |  | ev[1] = -ek * cp * cos(e0); | 
| 104 | 2 |  |  |  |  |  | ev[2] = -ek * cp * sin(e0); | 
| 105 |  |  |  |  |  |  |  | 
| 106 | 2 |  |  |  |  |  | } |