line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
1
|
|
|
|
|
|
|
#include "erfa.h" |
2
|
|
|
|
|
|
|
|
3
|
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) 2013-2019, 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
|
3
|
|
|
|
|
|
eraBpn2xy(rnpb, &x, &y); |
76
|
|
|
|
|
|
|
|
77
|
|
|
|
|
|
|
/* The CIO locator, s. */ |
78
|
3
|
|
|
|
|
|
s = eraS06(tta, ttb, x, y); |
79
|
|
|
|
|
|
|
|
80
|
|
|
|
|
|
|
/* Greenwich apparent sidereal time. */ |
81
|
3
|
|
|
|
|
|
era = eraEra00(uta, utb); |
82
|
3
|
|
|
|
|
|
eors = eraEors(rnpb, s); |
83
|
3
|
|
|
|
|
|
gst = eraAnp(era - eors); |
84
|
|
|
|
|
|
|
|
85
|
3
|
|
|
|
|
|
return gst; |
86
|
|
|
|
|
|
|
|
87
|
|
|
|
|
|
|
} |
88
|
|
|
|
|
|
|
/*---------------------------------------------------------------------- |
89
|
|
|
|
|
|
|
** |
90
|
|
|
|
|
|
|
** |
91
|
|
|
|
|
|
|
** Copyright (C) 2013-2019, 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
|
|
|
|
|
|
|
*/ |