1 | #include "erfa.h"
|
---|
2 |
|
---|
3 | double eraGst06(double uta, double utb, double tta, double ttb,
|
---|
4 | double rnpb[3][3])
|
---|
5 | /*
|
---|
6 | ** - - - - - - - - -
|
---|
7 | ** e r a G s t 0 6
|
---|
8 | ** - - - - - - - - -
|
---|
9 | **
|
---|
10 | ** Greenwich apparent sidereal time, IAU 2006, given the NPB matrix.
|
---|
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 | ** rnpb double[3][3] nutation x precession x bias matrix
|
---|
16 | **
|
---|
17 | ** Returned (function value):
|
---|
18 | ** double Greenwich apparent sidereal time (radians)
|
---|
19 | **
|
---|
20 | ** Notes:
|
---|
21 | **
|
---|
22 | ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
|
---|
23 | ** Julian Dates, apportioned in any convenient way between the
|
---|
24 | ** argument pairs. For example, JD=2450123.7 could be expressed in
|
---|
25 | ** any of these ways, among others:
|
---|
26 | **
|
---|
27 | ** Part A Part B
|
---|
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 (in the case of UT; the TT is not at all critical
|
---|
37 | ** in this respect). The J2000 and MJD methods are good compromises
|
---|
38 | ** between resolution and convenience. For UT, the date & time
|
---|
39 | ** method is best matched to the algorithm that is used by the Earth
|
---|
40 | ** rotation angle function, called internally: maximum precision is
|
---|
41 | ** delivered when the uta argument is for 0hrs UT1 on the day in
|
---|
42 | ** question and the utb argument lies in the range 0 to 1, or vice
|
---|
43 | ** versa.
|
---|
44 | **
|
---|
45 | ** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
|
---|
46 | ** and TT to predict the effects of precession-nutation. If UT1 is
|
---|
47 | ** used for both purposes, errors of order 100 microarcseconds
|
---|
48 | ** result.
|
---|
49 | **
|
---|
50 | ** 3) Although the function uses the IAU 2006 series for s+XY/2, it is
|
---|
51 | ** otherwise independent of the precession-nutation model and can in
|
---|
52 | ** practice be used with any equinox-based NPB matrix.
|
---|
53 | **
|
---|
54 | ** 4) The result is returned in the range 0 to 2pi.
|
---|
55 | **
|
---|
56 | ** Called:
|
---|
57 | ** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
|
---|
58 | ** eraS06 the CIO locator s, given X,Y, IAU 2006
|
---|
59 | ** eraAnp normalize angle into range 0 to 2pi
|
---|
60 | ** eraEra00 Earth rotation angle, IAU 2000
|
---|
61 | ** eraEors equation of the origins, given NPB matrix and s
|
---|
62 | **
|
---|
63 | ** Reference:
|
---|
64 | **
|
---|
65 | ** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
|
---|
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 x, y, s, era, eors, gst;
|
---|
72 |
|
---|
73 |
|
---|
74 | /* Extract CIP coordinates. */
|
---|
75 | eraBpn2xy(rnpb, &x, &y);
|
---|
76 |
|
---|
77 | /* The CIO locator, s. */
|
---|
78 | s = eraS06(tta, ttb, x, y);
|
---|
79 |
|
---|
80 | /* Greenwich apparent sidereal time. */
|
---|
81 | era = eraEra00(uta, utb);
|
---|
82 | eors = eraEors(rnpb, s);
|
---|
83 | gst = eraAnp(era - eors);
|
---|
84 |
|
---|
85 | return gst;
|
---|
86 |
|
---|
87 | }
|
---|
88 | /*----------------------------------------------------------------------
|
---|
89 | **
|
---|
90 | **
|
---|
91 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
---|
92 | ** All rights reserved.
|
---|
93 | **
|
---|
94 | ** This library is derived, with permission, from the International
|
---|
95 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
---|
96 | ** available from http://www.iausofa.org.
|
---|
97 | **
|
---|
98 | ** The ERFA version is intended to retain identical functionality to
|
---|
99 | ** the SOFA library, but made distinct through different function and
|
---|
100 | ** file names, as set out in the SOFA license conditions. The SOFA
|
---|
101 | ** original has a role as a reference standard for the IAU and IERS,
|
---|
102 | ** and consequently redistribution is permitted only in its unaltered
|
---|
103 | ** state. The ERFA version is not subject to this restriction and
|
---|
104 | ** therefore can be included in distributions which do not support the
|
---|
105 | ** concept of "read only" software.
|
---|
106 | **
|
---|
107 | ** Although the intent is to replicate the SOFA API (other than
|
---|
108 | ** replacement of prefix names) and results (with the exception of
|
---|
109 | ** bugs; any that are discovered will be fixed), SOFA is not
|
---|
110 | ** responsible for any errors found in this version of the library.
|
---|
111 | **
|
---|
112 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
---|
113 | ** that you are using a library derived from SOFA, rather than SOFA
|
---|
114 | ** itself.
|
---|
115 | **
|
---|
116 | **
|
---|
117 | ** TERMS AND CONDITIONS
|
---|
118 | **
|
---|
119 | ** Redistribution and use in source and binary forms, with or without
|
---|
120 | ** modification, are permitted provided that the following conditions
|
---|
121 | ** are met:
|
---|
122 | **
|
---|
123 | ** 1 Redistributions of source code must retain the above copyright
|
---|
124 | ** notice, this list of conditions and the following disclaimer.
|
---|
125 | **
|
---|
126 | ** 2 Redistributions in binary form must reproduce the above copyright
|
---|
127 | ** notice, this list of conditions and the following disclaimer in
|
---|
128 | ** the documentation and/or other materials provided with the
|
---|
129 | ** distribution.
|
---|
130 | **
|
---|
131 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
---|
132 | ** the International Astronomical Union nor the names of its
|
---|
133 | ** contributors may be used to endorse or promote products derived
|
---|
134 | ** from this software without specific prior written permission.
|
---|
135 | **
|
---|
136 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
---|
137 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
---|
138 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
---|
139 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
---|
140 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
---|
141 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
---|
142 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
---|
143 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
---|
144 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
---|
145 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
---|
146 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
---|
147 | ** POSSIBILITY OF SUCH DAMAGE.
|
---|
148 | **
|
---|
149 | */
|
---|