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