line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
1
|
|
|
|
|
|
|
#include "erfa.h" |
2
|
|
|
|
|
|
|
|
3
|
0
|
|
|
|
|
|
void eraApci13(double date1, double date2, |
4
|
|
|
|
|
|
|
eraASTROM *astrom, double *eo) |
5
|
|
|
|
|
|
|
/* |
6
|
|
|
|
|
|
|
** - - - - - - - - - - |
7
|
|
|
|
|
|
|
** e r a A p c i 1 3 |
8
|
|
|
|
|
|
|
** - - - - - - - - - - |
9
|
|
|
|
|
|
|
** |
10
|
|
|
|
|
|
|
** For a terrestrial observer, prepare star-independent astrometry |
11
|
|
|
|
|
|
|
** parameters for transformations between ICRS and geocentric CIRS |
12
|
|
|
|
|
|
|
** coordinates. The caller supplies the date, and ERFA models are used |
13
|
|
|
|
|
|
|
** to predict the Earth ephemeris and CIP/CIO. |
14
|
|
|
|
|
|
|
** |
15
|
|
|
|
|
|
|
** The parameters produced by this function are required in the |
16
|
|
|
|
|
|
|
** parallax, light deflection, aberration, and bias-precession-nutation |
17
|
|
|
|
|
|
|
** parts of the astrometric transformation chain. |
18
|
|
|
|
|
|
|
** |
19
|
|
|
|
|
|
|
** Given: |
20
|
|
|
|
|
|
|
** date1 double TDB as a 2-part... |
21
|
|
|
|
|
|
|
** date2 double ...Julian Date (Note 1) |
22
|
|
|
|
|
|
|
** |
23
|
|
|
|
|
|
|
** Returned: |
24
|
|
|
|
|
|
|
** astrom eraASTROM* star-independent astrometry parameters: |
25
|
|
|
|
|
|
|
** pmt double PM time interval (SSB, Julian years) |
26
|
|
|
|
|
|
|
** eb double[3] SSB to observer (vector, au) |
27
|
|
|
|
|
|
|
** eh double[3] Sun to observer (unit vector) |
28
|
|
|
|
|
|
|
** em double distance from Sun to observer (au) |
29
|
|
|
|
|
|
|
** v double[3] barycentric observer velocity (vector, c) |
30
|
|
|
|
|
|
|
** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor |
31
|
|
|
|
|
|
|
** bpn double[3][3] bias-precession-nutation matrix |
32
|
|
|
|
|
|
|
** along double unchanged |
33
|
|
|
|
|
|
|
** xpl double unchanged |
34
|
|
|
|
|
|
|
** ypl double unchanged |
35
|
|
|
|
|
|
|
** sphi double unchanged |
36
|
|
|
|
|
|
|
** cphi double unchanged |
37
|
|
|
|
|
|
|
** diurab double unchanged |
38
|
|
|
|
|
|
|
** eral double unchanged |
39
|
|
|
|
|
|
|
** refa double unchanged |
40
|
|
|
|
|
|
|
** refb double unchanged |
41
|
|
|
|
|
|
|
** eo double* equation of the origins (ERA-GST) |
42
|
|
|
|
|
|
|
** |
43
|
|
|
|
|
|
|
** Notes: |
44
|
|
|
|
|
|
|
** |
45
|
|
|
|
|
|
|
** 1) The TDB date date1+date2 is a Julian Date, apportioned in any |
46
|
|
|
|
|
|
|
** convenient way between the two arguments. For example, |
47
|
|
|
|
|
|
|
** JD(TDB)=2450123.7 could be expressed in any of these ways, among |
48
|
|
|
|
|
|
|
** others: |
49
|
|
|
|
|
|
|
** |
50
|
|
|
|
|
|
|
** date1 date2 |
51
|
|
|
|
|
|
|
** |
52
|
|
|
|
|
|
|
** 2450123.7 0.0 (JD method) |
53
|
|
|
|
|
|
|
** 2451545.0 -1421.3 (J2000 method) |
54
|
|
|
|
|
|
|
** 2400000.5 50123.2 (MJD method) |
55
|
|
|
|
|
|
|
** 2450123.5 0.2 (date & time method) |
56
|
|
|
|
|
|
|
** |
57
|
|
|
|
|
|
|
** The JD method is the most natural and convenient to use in cases |
58
|
|
|
|
|
|
|
** where the loss of several decimal digits of resolution is |
59
|
|
|
|
|
|
|
** acceptable. The J2000 method is best matched to the way the |
60
|
|
|
|
|
|
|
** argument is handled internally and will deliver the optimum |
61
|
|
|
|
|
|
|
** resolution. The MJD method and the date & time methods are both |
62
|
|
|
|
|
|
|
** good compromises between resolution and convenience. For most |
63
|
|
|
|
|
|
|
** applications of this function the choice will not be at all |
64
|
|
|
|
|
|
|
** critical. |
65
|
|
|
|
|
|
|
** |
66
|
|
|
|
|
|
|
** TT can be used instead of TDB without any significant impact on |
67
|
|
|
|
|
|
|
** accuracy. |
68
|
|
|
|
|
|
|
** |
69
|
|
|
|
|
|
|
** 2) All the vectors are with respect to BCRS axes. |
70
|
|
|
|
|
|
|
** |
71
|
|
|
|
|
|
|
** 3) In cases where the caller wishes to supply his own Earth |
72
|
|
|
|
|
|
|
** ephemeris and CIP/CIO, the function eraApci can be used instead |
73
|
|
|
|
|
|
|
** of the present function. |
74
|
|
|
|
|
|
|
** |
75
|
|
|
|
|
|
|
** 4) This is one of several functions that inserts into the astrom |
76
|
|
|
|
|
|
|
** structure star-independent parameters needed for the chain of |
77
|
|
|
|
|
|
|
** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. |
78
|
|
|
|
|
|
|
** |
79
|
|
|
|
|
|
|
** The various functions support different classes of observer and |
80
|
|
|
|
|
|
|
** portions of the transformation chain: |
81
|
|
|
|
|
|
|
** |
82
|
|
|
|
|
|
|
** functions observer transformation |
83
|
|
|
|
|
|
|
** |
84
|
|
|
|
|
|
|
** eraApcg eraApcg13 geocentric ICRS <-> GCRS |
85
|
|
|
|
|
|
|
** eraApci eraApci13 terrestrial ICRS <-> CIRS |
86
|
|
|
|
|
|
|
** eraApco eraApco13 terrestrial ICRS <-> observed |
87
|
|
|
|
|
|
|
** eraApcs eraApcs13 space ICRS <-> GCRS |
88
|
|
|
|
|
|
|
** eraAper eraAper13 terrestrial update Earth rotation |
89
|
|
|
|
|
|
|
** eraApio eraApio13 terrestrial CIRS <-> observed |
90
|
|
|
|
|
|
|
** |
91
|
|
|
|
|
|
|
** Those with names ending in "13" use contemporary ERFA models to |
92
|
|
|
|
|
|
|
** compute the various ephemerides. The others accept ephemerides |
93
|
|
|
|
|
|
|
** supplied by the caller. |
94
|
|
|
|
|
|
|
** |
95
|
|
|
|
|
|
|
** The transformation from ICRS to GCRS covers space motion, |
96
|
|
|
|
|
|
|
** parallax, light deflection, and aberration. From GCRS to CIRS |
97
|
|
|
|
|
|
|
** comprises frame bias and precession-nutation. From CIRS to |
98
|
|
|
|
|
|
|
** observed takes account of Earth rotation, polar motion, diurnal |
99
|
|
|
|
|
|
|
** aberration and parallax (unless subsumed into the ICRS <-> GCRS |
100
|
|
|
|
|
|
|
** transformation), and atmospheric refraction. |
101
|
|
|
|
|
|
|
** |
102
|
|
|
|
|
|
|
** 5) The context structure astrom produced by this function is used by |
103
|
|
|
|
|
|
|
** eraAtciq* and eraAticq*. |
104
|
|
|
|
|
|
|
** |
105
|
|
|
|
|
|
|
** Called: |
106
|
|
|
|
|
|
|
** eraEpv00 Earth position and velocity |
107
|
|
|
|
|
|
|
** eraPnm06a classical NPB matrix, IAU 2006/2000A |
108
|
|
|
|
|
|
|
** eraBpn2xy extract CIP X,Y coordinates from NPB matrix |
109
|
|
|
|
|
|
|
** eraS06 the CIO locator s, given X,Y, IAU 2006 |
110
|
|
|
|
|
|
|
** eraApci astrometry parameters, ICRS-CIRS |
111
|
|
|
|
|
|
|
** eraEors equation of the origins, given NPB matrix and s |
112
|
|
|
|
|
|
|
** |
113
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
114
|
|
|
|
|
|
|
** Derived, with permission, from the SOFA library. See notes at end of file. |
115
|
|
|
|
|
|
|
*/ |
116
|
|
|
|
|
|
|
{ |
117
|
|
|
|
|
|
|
double ehpv[2][3], ebpv[2][3], r[3][3], x, y, s; |
118
|
|
|
|
|
|
|
|
119
|
|
|
|
|
|
|
|
120
|
|
|
|
|
|
|
/* Earth barycentric & heliocentric position/velocity (au, au/d). */ |
121
|
0
|
|
|
|
|
|
(void) eraEpv00(date1, date2, ehpv, ebpv); |
122
|
|
|
|
|
|
|
|
123
|
|
|
|
|
|
|
/* Form the equinox based BPN matrix, IAU 2006/2000A. */ |
124
|
0
|
|
|
|
|
|
eraPnm06a(date1, date2, r); |
125
|
|
|
|
|
|
|
|
126
|
|
|
|
|
|
|
/* Extract CIP X,Y. */ |
127
|
0
|
|
|
|
|
|
eraBpn2xy(r, &x, &y); |
128
|
|
|
|
|
|
|
|
129
|
|
|
|
|
|
|
/* Obtain CIO locator s. */ |
130
|
0
|
|
|
|
|
|
s = eraS06(date1, date2, x, y); |
131
|
|
|
|
|
|
|
|
132
|
|
|
|
|
|
|
/* Compute the star-independent astrometry parameters. */ |
133
|
0
|
|
|
|
|
|
eraApci(date1, date2, ebpv, ehpv[0], x, y, s, astrom); |
134
|
|
|
|
|
|
|
|
135
|
|
|
|
|
|
|
/* Equation of the origins. */ |
136
|
0
|
|
|
|
|
|
*eo = eraEors(r, s); |
137
|
|
|
|
|
|
|
|
138
|
|
|
|
|
|
|
/* Finished. */ |
139
|
|
|
|
|
|
|
|
140
|
0
|
|
|
|
|
|
} |
141
|
|
|
|
|
|
|
/*---------------------------------------------------------------------- |
142
|
|
|
|
|
|
|
** |
143
|
|
|
|
|
|
|
** |
144
|
|
|
|
|
|
|
** Copyright (C) 2013-2020, NumFOCUS Foundation. |
145
|
|
|
|
|
|
|
** All rights reserved. |
146
|
|
|
|
|
|
|
** |
147
|
|
|
|
|
|
|
** This library is derived, with permission, from the International |
148
|
|
|
|
|
|
|
** Astronomical Union's "Standards of Fundamental Astronomy" library, |
149
|
|
|
|
|
|
|
** available from http://www.iausofa.org. |
150
|
|
|
|
|
|
|
** |
151
|
|
|
|
|
|
|
** The ERFA version is intended to retain identical functionality to |
152
|
|
|
|
|
|
|
** the SOFA library, but made distinct through different function and |
153
|
|
|
|
|
|
|
** file names, as set out in the SOFA license conditions. The SOFA |
154
|
|
|
|
|
|
|
** original has a role as a reference standard for the IAU and IERS, |
155
|
|
|
|
|
|
|
** and consequently redistribution is permitted only in its unaltered |
156
|
|
|
|
|
|
|
** state. The ERFA version is not subject to this restriction and |
157
|
|
|
|
|
|
|
** therefore can be included in distributions which do not support the |
158
|
|
|
|
|
|
|
** concept of "read only" software. |
159
|
|
|
|
|
|
|
** |
160
|
|
|
|
|
|
|
** Although the intent is to replicate the SOFA API (other than |
161
|
|
|
|
|
|
|
** replacement of prefix names) and results (with the exception of |
162
|
|
|
|
|
|
|
** bugs; any that are discovered will be fixed), SOFA is not |
163
|
|
|
|
|
|
|
** responsible for any errors found in this version of the library. |
164
|
|
|
|
|
|
|
** |
165
|
|
|
|
|
|
|
** If you wish to acknowledge the SOFA heritage, please acknowledge |
166
|
|
|
|
|
|
|
** that you are using a library derived from SOFA, rather than SOFA |
167
|
|
|
|
|
|
|
** itself. |
168
|
|
|
|
|
|
|
** |
169
|
|
|
|
|
|
|
** |
170
|
|
|
|
|
|
|
** TERMS AND CONDITIONS |
171
|
|
|
|
|
|
|
** |
172
|
|
|
|
|
|
|
** Redistribution and use in source and binary forms, with or without |
173
|
|
|
|
|
|
|
** modification, are permitted provided that the following conditions |
174
|
|
|
|
|
|
|
** are met: |
175
|
|
|
|
|
|
|
** |
176
|
|
|
|
|
|
|
** 1 Redistributions of source code must retain the above copyright |
177
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer. |
178
|
|
|
|
|
|
|
** |
179
|
|
|
|
|
|
|
** 2 Redistributions in binary form must reproduce the above copyright |
180
|
|
|
|
|
|
|
** notice, this list of conditions and the following disclaimer in |
181
|
|
|
|
|
|
|
** the documentation and/or other materials provided with the |
182
|
|
|
|
|
|
|
** distribution. |
183
|
|
|
|
|
|
|
** |
184
|
|
|
|
|
|
|
** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
185
|
|
|
|
|
|
|
** the International Astronomical Union nor the names of its |
186
|
|
|
|
|
|
|
** contributors may be used to endorse or promote products derived |
187
|
|
|
|
|
|
|
** from this software without specific prior written permission. |
188
|
|
|
|
|
|
|
** |
189
|
|
|
|
|
|
|
** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
190
|
|
|
|
|
|
|
** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
191
|
|
|
|
|
|
|
** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
192
|
|
|
|
|
|
|
** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
193
|
|
|
|
|
|
|
** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
194
|
|
|
|
|
|
|
** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
195
|
|
|
|
|
|
|
** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
196
|
|
|
|
|
|
|
** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
197
|
|
|
|
|
|
|
** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
198
|
|
|
|
|
|
|
** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
199
|
|
|
|
|
|
|
** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
200
|
|
|
|
|
|
|
** POSSIBILITY OF SUCH DAMAGE. |
201
|
|
|
|
|
|
|
** |
202
|
|
|
|
|
|
|
*/ |