FACT++  1.0
gst06a.c
Go to the documentation of this file.
1 #include "erfa.h"
2 
3 double eraGst06a(double uta, double utb, double tta, double ttb)
4 /*
5 ** - - - - - - - - - -
6 ** e r a G s t 0 6 a
7 ** - - - - - - - - - -
8 **
9 ** Greenwich apparent sidereal time (consistent with IAU 2000 and 2006
10 ** resolutions).
11 **
12 ** Given:
13 ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
14 ** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
15 **
16 ** Returned (function value):
17 ** double Greenwich apparent sidereal time (radians)
18 **
19 ** Notes:
20 **
21 ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
22 ** Julian Dates, apportioned in any convenient way between the
23 ** argument pairs. For example, JD=2450123.7 could be expressed in
24 ** any of these ways, among others:
25 **
26 ** Part A Part B
27 **
28 ** 2450123.7 0.0 (JD method)
29 ** 2451545.0 -1421.3 (J2000 method)
30 ** 2400000.5 50123.2 (MJD method)
31 ** 2450123.5 0.2 (date & time method)
32 **
33 ** The JD method is the most natural and convenient to use in
34 ** cases where the loss of several decimal digits of resolution
35 ** is acceptable (in the case of UT; the TT is not at all critical
36 ** in this respect). The J2000 and MJD methods are good compromises
37 ** between resolution and convenience. For UT, the date & time
38 ** method is best matched to the algorithm that is used by the Earth
39 ** rotation angle function, called internally: maximum precision is
40 ** delivered when the uta argument is for 0hrs UT1 on the day in
41 ** question and the utb argument lies in the range 0 to 1, or vice
42 ** versa.
43 **
44 ** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
45 ** and TT to predict the effects of precession-nutation. If UT1 is
46 ** used for both purposes, errors of order 100 microarcseconds
47 ** result.
48 **
49 ** 3) This GAST is compatible with the IAU 2000/2006 resolutions and
50 ** must be used only in conjunction with IAU 2006 precession and
51 ** IAU 2000A nutation.
52 **
53 ** 4) The result is returned in the range 0 to 2pi.
54 **
55 ** Called:
56 ** eraPnm06a classical NPB matrix, IAU 2006/2000A
57 ** eraGst06 Greenwich apparent ST, IAU 2006, given NPB matrix
58 **
59 ** Reference:
60 **
61 ** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
62 **
63 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
64 ** Derived, with permission, from the SOFA library. See notes at end of file.
65 */
66 {
67  double rnpb[3][3], gst;
68 
69 /* Classical nutation x precession x bias matrix, IAU 2000A. */
70  eraPnm06a(tta, ttb, rnpb);
71 
72 /* Greenwich apparent sidereal time. */
73  gst = eraGst06(uta, utb, tta, ttb, rnpb);
74 
75  return gst;
76 
77 }
78 /*----------------------------------------------------------------------
79 **
80 **
81 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
82 ** All rights reserved.
83 **
84 ** This library is derived, with permission, from the International
85 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
86 ** available from http://www.iausofa.org.
87 **
88 ** The ERFA version is intended to retain identical functionality to
89 ** the SOFA library, but made distinct through different function and
90 ** file names, as set out in the SOFA license conditions. The SOFA
91 ** original has a role as a reference standard for the IAU and IERS,
92 ** and consequently redistribution is permitted only in its unaltered
93 ** state. The ERFA version is not subject to this restriction and
94 ** therefore can be included in distributions which do not support the
95 ** concept of "read only" software.
96 **
97 ** Although the intent is to replicate the SOFA API (other than
98 ** replacement of prefix names) and results (with the exception of
99 ** bugs; any that are discovered will be fixed), SOFA is not
100 ** responsible for any errors found in this version of the library.
101 **
102 ** If you wish to acknowledge the SOFA heritage, please acknowledge
103 ** that you are using a library derived from SOFA, rather than SOFA
104 ** itself.
105 **
106 **
107 ** TERMS AND CONDITIONS
108 **
109 ** Redistribution and use in source and binary forms, with or without
110 ** modification, are permitted provided that the following conditions
111 ** are met:
112 **
113 ** 1 Redistributions of source code must retain the above copyright
114 ** notice, this list of conditions and the following disclaimer.
115 **
116 ** 2 Redistributions in binary form must reproduce the above copyright
117 ** notice, this list of conditions and the following disclaimer in
118 ** the documentation and/or other materials provided with the
119 ** distribution.
120 **
121 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
122 ** the International Astronomical Union nor the names of its
123 ** contributors may be used to endorse or promote products derived
124 ** from this software without specific prior written permission.
125 **
126 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
127 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
128 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
129 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
130 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
131 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
132 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
133 ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
134 ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
135 ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
136 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
137 ** POSSIBILITY OF SUCH DAMAGE.
138 **
139 */
void eraPnm06a(double date1, double date2, double rnpb[3][3])
Definition: pnm06a.c:3
double eraGst06a(double uta, double utb, double tta, double ttb)
Definition: gst06a.c:3
double eraGst06(double uta, double utb, double tta, double ttb, double rnpb[3][3])
Definition: gst06.c:3