source: branches/FACT++_lidctrl_usb/erfa/src/pn00a.c@ 19875

Last change on this file since 19875 was 18711, checked in by tbretz, 10 years ago
Updated to ERFA 1.3.0 (no relevant code change except the leap second at the beginning of 2017)
File size: 7.2 KB
Line 
1#include "erfa.h"
2
3void eraPn00a(double date1, double date2,
4 double *dpsi, double *deps, double *epsa,
5 double rb[3][3], double rp[3][3], double rbp[3][3],
6 double rn[3][3], double rbpn[3][3])
7/*
8** - - - - - - - - -
9** e r a P n 0 0 a
10** - - - - - - - - -
11**
12** Precession-nutation, IAU 2000A model: a multi-purpose function,
13** supporting classical (equinox-based) use directly and CIO-based
14** use indirectly.
15**
16** Given:
17** date1,date2 double TT as a 2-part Julian Date (Note 1)
18**
19** Returned:
20** dpsi,deps double nutation (Note 2)
21** epsa double mean obliquity (Note 3)
22** rb double[3][3] frame bias matrix (Note 4)
23** rp double[3][3] precession matrix (Note 5)
24** rbp double[3][3] bias-precession matrix (Note 6)
25** rn double[3][3] nutation matrix (Note 7)
26** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9)
27**
28** Notes:
29**
30** 1) The TT date date1+date2 is a Julian Date, apportioned in any
31** convenient way between the two arguments. For example,
32** JD(TT)=2450123.7 could be expressed in any of these ways,
33** among others:
34**
35** date1 date2
36**
37** 2450123.7 0.0 (JD method)
38** 2451545.0 -1421.3 (J2000 method)
39** 2400000.5 50123.2 (MJD method)
40** 2450123.5 0.2 (date & time method)
41**
42** The JD method is the most natural and convenient to use in
43** cases where the loss of several decimal digits of resolution
44** is acceptable. The J2000 method is best matched to the way
45** the argument is handled internally and will deliver the
46** optimum resolution. The MJD method and the date & time methods
47** are both good compromises between resolution and convenience.
48**
49** 2) The nutation components (luni-solar + planetary, IAU 2000A) in
50** longitude and obliquity are in radians and with respect to the
51** equinox and ecliptic of date. Free core nutation is omitted;
52** for the utmost accuracy, use the eraPn00 function, where the
53** nutation components are caller-specified. For faster but
54** slightly less accurate results, use the eraPn00b function.
55**
56** 3) The mean obliquity is consistent with the IAU 2000 precession.
57**
58** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean
59** equator and equinox by applying frame bias.
60**
61** 5) The matrix rp transforms vectors from J2000.0 mean equator and
62** equinox to mean equator and equinox of date by applying
63** precession.
64**
65** 6) The matrix rbp transforms vectors from GCRS to mean equator and
66** equinox of date by applying frame bias then precession. It is
67** the product rp x rb.
68**
69** 7) The matrix rn transforms vectors from mean equator and equinox
70** of date to true equator and equinox of date by applying the
71** nutation (luni-solar + planetary).
72**
73** 8) The matrix rbpn transforms vectors from GCRS to true equator and
74** equinox of date. It is the product rn x rbp, applying frame
75** bias, precession and nutation in that order.
76**
77** 9) The X,Y,Z coordinates of the IAU 2000A Celestial Intermediate
78** Pole are elements (3,1-3) of the GCRS-to-true matrix,
79** i.e. rbpn[2][0-2].
80**
81** 10) It is permissible to re-use the same array in the returned
82** arguments. The arrays are filled in the order given.
83**
84** Called:
85** eraNut00a nutation, IAU 2000A
86** eraPn00 bias/precession/nutation results, IAU 2000
87**
88** Reference:
89**
90** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
91** "Expressions for the Celestial Intermediate Pole and Celestial
92** Ephemeris Origin consistent with the IAU 2000A precession-
93** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
94**
95** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
96** intermediate origin" (CIO) by IAU 2006 Resolution 2.
97**
98** Copyright (C) 2013-2016, NumFOCUS Foundation.
99** Derived, with permission, from the SOFA library. See notes at end of file.
100*/
101{
102/* Nutation. */
103 eraNut00a(date1, date2, dpsi, deps);
104
105/* Remaining results. */
106 eraPn00(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn);
107
108 return;
109
110}
111/*----------------------------------------------------------------------
112**
113**
114** Copyright (C) 2013-2016, NumFOCUS Foundation.
115** All rights reserved.
116**
117** This library is derived, with permission, from the International
118** Astronomical Union's "Standards of Fundamental Astronomy" library,
119** available from http://www.iausofa.org.
120**
121** The ERFA version is intended to retain identical functionality to
122** the SOFA library, but made distinct through different function and
123** file names, as set out in the SOFA license conditions. The SOFA
124** original has a role as a reference standard for the IAU and IERS,
125** and consequently redistribution is permitted only in its unaltered
126** state. The ERFA version is not subject to this restriction and
127** therefore can be included in distributions which do not support the
128** concept of "read only" software.
129**
130** Although the intent is to replicate the SOFA API (other than
131** replacement of prefix names) and results (with the exception of
132** bugs; any that are discovered will be fixed), SOFA is not
133** responsible for any errors found in this version of the library.
134**
135** If you wish to acknowledge the SOFA heritage, please acknowledge
136** that you are using a library derived from SOFA, rather than SOFA
137** itself.
138**
139**
140** TERMS AND CONDITIONS
141**
142** Redistribution and use in source and binary forms, with or without
143** modification, are permitted provided that the following conditions
144** are met:
145**
146** 1 Redistributions of source code must retain the above copyright
147** notice, this list of conditions and the following disclaimer.
148**
149** 2 Redistributions in binary form must reproduce the above copyright
150** notice, this list of conditions and the following disclaimer in
151** the documentation and/or other materials provided with the
152** distribution.
153**
154** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
155** the International Astronomical Union nor the names of its
156** contributors may be used to endorse or promote products derived
157** from this software without specific prior written permission.
158**
159** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
160** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
161** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
162** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
163** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
164** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
165** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
166** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
167** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
168** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
169** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
170** POSSIBILITY OF SUCH DAMAGE.
171**
172*/
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