source: trunk/FACT++/erfa/src/ee00b.c@ 18781

Last change on this file since 18781 was 18711, checked in by tbretz, 8 years ago
Updated to ERFA 1.3.0 (no relevant code change except the leap second at the beginning of 2017)
File size: 5.8 KB
Line 
1#include "erfa.h"
2
3double eraEe00b(double date1, double date2)
4/*
5** - - - - - - - - -
6** e r a E e 0 0 b
7** - - - - - - - - -
8**
9** Equation of the equinoxes, compatible with IAU 2000 resolutions but
10** using the truncated nutation model IAU 2000B.
11**
12** Given:
13** date1,date2 double TT as a 2-part Julian Date (Note 1)
14**
15** Returned (function value):
16** double equation of the equinoxes (Note 2)
17**
18** Notes:
19**
20** 1) The TT date date1+date2 is a Julian Date, apportioned in any
21** convenient way between the two arguments. For example,
22** JD(TT)=2450123.7 could be expressed in any of these ways,
23** among others:
24**
25** date1 date2
26**
27** 2450123.7 0.0 (JD method)
28** 2451545.0 -1421.3 (J2000 method)
29** 2400000.5 50123.2 (MJD method)
30** 2450123.5 0.2 (date & time method)
31**
32** The JD method is the most natural and convenient to use in
33** cases where the loss of several decimal digits of resolution
34** is acceptable. The J2000 method is best matched to the way
35** the argument is handled internally and will deliver the
36** optimum resolution. The MJD method and the date & time methods
37** are both good compromises between resolution and convenience.
38**
39** 2) The result, which is in radians, operates in the following sense:
40**
41** Greenwich apparent ST = GMST + equation of the equinoxes
42**
43** 3) The result is compatible with the IAU 2000 resolutions except
44** that accuracy has been compromised for the sake of speed. For
45** further details, see McCarthy & Luzum (2001), IERS Conventions
46** 2003 and Capitaine et al. (2003).
47**
48** Called:
49** eraPr00 IAU 2000 precession adjustments
50** eraObl80 mean obliquity, IAU 1980
51** eraNut00b nutation, IAU 2000B
52** eraEe00 equation of the equinoxes, IAU 2000
53**
54** References:
55**
56** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
57** implement the IAU 2000 definition of UT1", Astronomy &
58** Astrophysics, 406, 1135-1149 (2003)
59**
60** McCarthy, D.D. & Luzum, B.J., "An abridged model of the
61** precession-nutation of the celestial pole", Celestial Mechanics &
62** Dynamical Astronomy, 85, 37-49 (2003)
63**
64** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
65** IERS Technical Note No. 32, BKG (2004)
66**
67** Copyright (C) 2013-2016, NumFOCUS Foundation.
68** Derived, with permission, from the SOFA library. See notes at end of file.
69*/
70{
71 double dpsipr, depspr, epsa, dpsi, deps, ee;
72
73
74/* IAU 2000 precession-rate adjustments. */
75 eraPr00(date1, date2, &dpsipr, &depspr);
76
77/* Mean obliquity, consistent with IAU 2000 precession-nutation. */
78 epsa = eraObl80(date1, date2) + depspr;
79
80/* Nutation in longitude. */
81 eraNut00b(date1, date2, &dpsi, &deps);
82
83/* Equation of the equinoxes. */
84 ee = eraEe00(date1, date2, epsa, dpsi);
85
86 return ee;
87
88}
89/*----------------------------------------------------------------------
90**
91**
92** Copyright (C) 2013-2016, 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;
144** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
145** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
146** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
147** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
148** POSSIBILITY OF SUCH DAMAGE.
149**
150*/
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