1 | #include "erfa.h"
|
---|
2 |
|
---|
3 | void eraAtciqn(double rc, double dc, double pr, double pd,
|
---|
4 | double px, double rv, eraASTROM *astrom,
|
---|
5 | int n, eraLDBODY b[], double *ri, double *di)
|
---|
6 | /*
|
---|
7 | ** - - - - - - - - - -
|
---|
8 | ** e r a A t c i q n
|
---|
9 | ** - - - - - - - - - -
|
---|
10 | **
|
---|
11 | ** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed
|
---|
12 | ** star-independent astrometry parameters plus a list of light-
|
---|
13 | ** deflecting bodies.
|
---|
14 | **
|
---|
15 | ** Use of this function is appropriate when efficiency is important and
|
---|
16 | ** where many star positions are to be transformed for one date. The
|
---|
17 | ** star-independent parameters can be obtained by calling one of the
|
---|
18 | ** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
|
---|
19 | **
|
---|
20 | ** If the only light-deflecting body to be taken into account is the
|
---|
21 | ** Sun, the eraAtciq function can be used instead. If in addition the
|
---|
22 | ** parallax and proper motions are zero, the eraAtciqz function can be
|
---|
23 | ** used.
|
---|
24 | **
|
---|
25 | ** Given:
|
---|
26 | ** rc,dc double ICRS RA,Dec at J2000.0 (radians)
|
---|
27 | ** pr double RA proper motion (radians/year; Note 3)
|
---|
28 | ** pd double Dec proper motion (radians/year)
|
---|
29 | ** px double parallax (arcsec)
|
---|
30 | ** rv double radial velocity (km/s, +ve if receding)
|
---|
31 | ** astrom eraASTROM* star-independent astrometry parameters:
|
---|
32 | ** pmt double PM time interval (SSB, Julian years)
|
---|
33 | ** eb double[3] SSB to observer (vector, au)
|
---|
34 | ** eh double[3] Sun to observer (unit vector)
|
---|
35 | ** em double distance from Sun to observer (au)
|
---|
36 | ** v double[3] barycentric observer velocity (vector, c)
|
---|
37 | ** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
|
---|
38 | ** bpn double[3][3] bias-precession-nutation matrix
|
---|
39 | ** along double longitude + s' (radians)
|
---|
40 | ** xpl double polar motion xp wrt local meridian (radians)
|
---|
41 | ** ypl double polar motion yp wrt local meridian (radians)
|
---|
42 | ** sphi double sine of geodetic latitude
|
---|
43 | ** cphi double cosine of geodetic latitude
|
---|
44 | ** diurab double magnitude of diurnal aberration vector
|
---|
45 | ** eral double "local" Earth rotation angle (radians)
|
---|
46 | ** refa double refraction constant A (radians)
|
---|
47 | ** refb double refraction constant B (radians)
|
---|
48 | ** n int number of bodies (Note 3)
|
---|
49 | ** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
|
---|
50 | ** bm double mass of the body (solar masses, Note 5)
|
---|
51 | ** dl double deflection limiter (Note 6)
|
---|
52 | ** pv [2][3] barycentric PV of the body (au, au/day)
|
---|
53 | **
|
---|
54 | ** Returned:
|
---|
55 | ** ri,di double CIRS RA,Dec (radians)
|
---|
56 | **
|
---|
57 | ** Notes:
|
---|
58 | **
|
---|
59 | ** 1) Star data for an epoch other than J2000.0 (for example from the
|
---|
60 | ** Hipparcos catalog, which has an epoch of J1991.25) will require a
|
---|
61 | ** preliminary call to eraPmsafe before use.
|
---|
62 | **
|
---|
63 | ** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
|
---|
64 | **
|
---|
65 | ** 3) The struct b contains n entries, one for each body to be
|
---|
66 | ** considered. If n = 0, no gravitational light deflection will be
|
---|
67 | ** applied, not even for the Sun.
|
---|
68 | **
|
---|
69 | ** 4) The struct b should include an entry for the Sun as well as for
|
---|
70 | ** any planet or other body to be taken into account. The entries
|
---|
71 | ** should be in the order in which the light passes the body.
|
---|
72 | **
|
---|
73 | ** 5) In the entry in the b struct for body i, the mass parameter
|
---|
74 | ** b[i].bm can, as required, be adjusted in order to allow for such
|
---|
75 | ** effects as quadrupole field.
|
---|
76 | **
|
---|
77 | ** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
|
---|
78 | ** the angular separation (in radians) between star and body at
|
---|
79 | ** which limiting is applied. As phi shrinks below the chosen
|
---|
80 | ** threshold, the deflection is artificially reduced, reaching zero
|
---|
81 | ** for phi = 0. Example values suitable for a terrestrial
|
---|
82 | ** observer, together with masses, are as follows:
|
---|
83 | **
|
---|
84 | ** body i b[i].bm b[i].dl
|
---|
85 | **
|
---|
86 | ** Sun 1.0 6e-6
|
---|
87 | ** Jupiter 0.00095435 3e-9
|
---|
88 | ** Saturn 0.00028574 3e-10
|
---|
89 | **
|
---|
90 | ** 7) For efficiency, validation of the contents of the b array is
|
---|
91 | ** omitted. The supplied masses must be greater than zero, the
|
---|
92 | ** position and velocity vectors must be right, and the deflection
|
---|
93 | ** limiter greater than zero.
|
---|
94 | **
|
---|
95 | ** Called:
|
---|
96 | ** eraPmpx proper motion and parallax
|
---|
97 | ** eraLdn light deflection by n bodies
|
---|
98 | ** eraAb stellar aberration
|
---|
99 | ** eraRxp product of r-matrix and pv-vector
|
---|
100 | ** eraC2s p-vector to spherical
|
---|
101 | ** eraAnp normalize angle into range 0 to 2pi
|
---|
102 | **
|
---|
103 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
|
---|
104 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
---|
105 | */
|
---|
106 | {
|
---|
107 | double pco[3], pnat[3], ppr[3], pi[3], w;
|
---|
108 |
|
---|
109 | /* Proper motion and parallax, giving BCRS coordinate direction. */
|
---|
110 | eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco);
|
---|
111 |
|
---|
112 | /* Light deflection, giving BCRS natural direction. */
|
---|
113 | eraLdn(n, b, astrom->eb, pco, pnat);
|
---|
114 |
|
---|
115 | /* Aberration, giving GCRS proper direction. */
|
---|
116 | eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
|
---|
117 |
|
---|
118 | /* Bias-precession-nutation, giving CIRS proper direction. */
|
---|
119 | eraRxp(astrom->bpn, ppr, pi);
|
---|
120 |
|
---|
121 | /* CIRS RA,Dec. */
|
---|
122 | eraC2s(pi, &w, di);
|
---|
123 | *ri = eraAnp(w);
|
---|
124 |
|
---|
125 | /* Finished. */
|
---|
126 |
|
---|
127 | }
|
---|
128 | /*----------------------------------------------------------------------
|
---|
129 | **
|
---|
130 | **
|
---|
131 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
|
---|
132 | ** All rights reserved.
|
---|
133 | **
|
---|
134 | ** This library is derived, with permission, from the International
|
---|
135 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
---|
136 | ** available from http://www.iausofa.org.
|
---|
137 | **
|
---|
138 | ** The ERFA version is intended to retain identical functionality to
|
---|
139 | ** the SOFA library, but made distinct through different function and
|
---|
140 | ** file names, as set out in the SOFA license conditions. The SOFA
|
---|
141 | ** original has a role as a reference standard for the IAU and IERS,
|
---|
142 | ** and consequently redistribution is permitted only in its unaltered
|
---|
143 | ** state. The ERFA version is not subject to this restriction and
|
---|
144 | ** therefore can be included in distributions which do not support the
|
---|
145 | ** concept of "read only" software.
|
---|
146 | **
|
---|
147 | ** Although the intent is to replicate the SOFA API (other than
|
---|
148 | ** replacement of prefix names) and results (with the exception of
|
---|
149 | ** bugs; any that are discovered will be fixed), SOFA is not
|
---|
150 | ** responsible for any errors found in this version of the library.
|
---|
151 | **
|
---|
152 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
---|
153 | ** that you are using a library derived from SOFA, rather than SOFA
|
---|
154 | ** itself.
|
---|
155 | **
|
---|
156 | **
|
---|
157 | ** TERMS AND CONDITIONS
|
---|
158 | **
|
---|
159 | ** Redistribution and use in source and binary forms, with or without
|
---|
160 | ** modification, are permitted provided that the following conditions
|
---|
161 | ** are met:
|
---|
162 | **
|
---|
163 | ** 1 Redistributions of source code must retain the above copyright
|
---|
164 | ** notice, this list of conditions and the following disclaimer.
|
---|
165 | **
|
---|
166 | ** 2 Redistributions in binary form must reproduce the above copyright
|
---|
167 | ** notice, this list of conditions and the following disclaimer in
|
---|
168 | ** the documentation and/or other materials provided with the
|
---|
169 | ** distribution.
|
---|
170 | **
|
---|
171 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
---|
172 | ** the International Astronomical Union nor the names of its
|
---|
173 | ** contributors may be used to endorse or promote products derived
|
---|
174 | ** from this software without specific prior written permission.
|
---|
175 | **
|
---|
176 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
---|
177 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
---|
178 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
---|
179 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
---|
180 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
---|
181 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
---|
182 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
---|
183 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
---|
184 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
---|
185 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
---|
186 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
---|
187 | ** POSSIBILITY OF SUCH DAMAGE.
|
---|
188 | **
|
---|
189 | */
|
---|