FACT++  1.0
c2ibpn.c
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1 #include "erfa.h"
2 
3 void eraC2ibpn(double date1, double date2, double rbpn[3][3],
4  double rc2i[3][3])
5 /*
6 ** - - - - - - - - - -
7 ** e r a C 2 i b p n
8 ** - - - - - - - - - -
9 **
10 ** Form the celestial-to-intermediate matrix for a given date given
11 ** the bias-precession-nutation matrix. IAU 2000.
12 **
13 ** Given:
14 ** date1,date2 double TT as a 2-part Julian Date (Note 1)
15 ** rbpn double[3][3] celestial-to-true matrix (Note 2)
16 **
17 ** Returned:
18 ** rc2i double[3][3] celestial-to-intermediate matrix (Note 3)
19 **
20 ** Notes:
21 **
22 ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
23 ** convenient way between the two arguments. For example,
24 ** JD(TT)=2450123.7 could be expressed in any of these ways,
25 ** among others:
26 **
27 ** date1 date2
28 **
29 ** 2450123.7 0.0 (JD method)
30 ** 2451545.0 -1421.3 (J2000 method)
31 ** 2400000.5 50123.2 (MJD method)
32 ** 2450123.5 0.2 (date & time method)
33 **
34 ** The JD method is the most natural and convenient to use in
35 ** cases where the loss of several decimal digits of resolution
36 ** is acceptable. The J2000 method is best matched to the way
37 ** the argument is handled internally and will deliver the
38 ** optimum resolution. The MJD method and the date & time methods
39 ** are both good compromises between resolution and convenience.
40 **
41 ** 2) The matrix rbpn transforms vectors from GCRS to true equator (and
42 ** CIO or equinox) of date. Only the CIP (bottom row) is used.
43 **
44 ** 3) The matrix rc2i is the first stage in the transformation from
45 ** celestial to terrestrial coordinates:
46 **
47 ** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
48 **
49 ** = RC2T * [CRS]
50 **
51 ** where [CRS] is a vector in the Geocentric Celestial Reference
52 ** System and [TRS] is a vector in the International Terrestrial
53 ** Reference System (see IERS Conventions 2003), ERA is the Earth
54 ** Rotation Angle and RPOM is the polar motion matrix.
55 **
56 ** 4) Although its name does not include "00", This function is in fact
57 ** specific to the IAU 2000 models.
58 **
59 ** Called:
60 ** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
61 ** eraC2ixy celestial-to-intermediate matrix, given X,Y
62 **
63 ** References:
64 ** "Expressions for the Celestial Intermediate Pole and Celestial
65 ** Ephemeris Origin consistent with the IAU 2000A precession-
66 ** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
67 **
68 ** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
69 ** intermediate origin" (CIO) by IAU 2006 Resolution 2.
70 **
71 ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
72 ** IERS Technical Note No. 32, BKG (2004)
73 **
74 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
75 ** Derived, with permission, from the SOFA library. See notes at end of file.
76 */
77 {
78  double x, y;
79 
80 /* Extract the X,Y coordinates. */
81  eraBpn2xy(rbpn, &x, &y);
82 
83 /* Form the celestial-to-intermediate matrix (n.b. IAU 2000 specific). */
84  eraC2ixy(date1, date2, x, y, rc2i);
85 
86  return;
87 
88 }
89 /*----------------------------------------------------------------------
90 **
91 **
92 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
93 ** All rights reserved.
94 **
95 ** This library is derived, with permission, from the International
96 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
97 ** available from http://www.iausofa.org.
98 **
99 ** The ERFA version is intended to retain identical functionality to
100 ** the SOFA library, but made distinct through different function and
101 ** file names, as set out in the SOFA license conditions. The SOFA
102 ** original has a role as a reference standard for the IAU and IERS,
103 ** and consequently redistribution is permitted only in its unaltered
104 ** state. The ERFA version is not subject to this restriction and
105 ** therefore can be included in distributions which do not support the
106 ** concept of "read only" software.
107 **
108 ** Although the intent is to replicate the SOFA API (other than
109 ** replacement of prefix names) and results (with the exception of
110 ** bugs; any that are discovered will be fixed), SOFA is not
111 ** responsible for any errors found in this version of the library.
112 **
113 ** If you wish to acknowledge the SOFA heritage, please acknowledge
114 ** that you are using a library derived from SOFA, rather than SOFA
115 ** itself.
116 **
117 **
118 ** TERMS AND CONDITIONS
119 **
120 ** Redistribution and use in source and binary forms, with or without
121 ** modification, are permitted provided that the following conditions
122 ** are met:
123 **
124 ** 1 Redistributions of source code must retain the above copyright
125 ** notice, this list of conditions and the following disclaimer.
126 **
127 ** 2 Redistributions in binary form must reproduce the above copyright
128 ** notice, this list of conditions and the following disclaimer in
129 ** the documentation and/or other materials provided with the
130 ** distribution.
131 **
132 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
133 ** the International Astronomical Union nor the names of its
134 ** contributors may be used to endorse or promote products derived
135 ** from this software without specific prior written permission.
136 **
137 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
138 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
139 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
140 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
141 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
142 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
143 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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147 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
148 ** POSSIBILITY OF SUCH DAMAGE.
149 **
150 */
void eraC2ibpn(double date1, double date2, double rbpn[3][3], double rc2i[3][3])
Definition: c2ibpn.c:3
void eraBpn2xy(double rbpn[3][3], double *x, double *y)
Definition: bpn2xy.c:3
void eraC2ixy(double date1, double date2, double x, double y, double rc2i[3][3])
Definition: c2ixy.c:3