FACT++  1.0
gmst06.c
Go to the documentation of this file.
1 #include "erfa.h"
2 
3 double eraGmst06(double uta, double utb, double tta, double ttb)
4 /*
5 ** - - - - - - - - - -
6 ** e r a G m s t 0 6
7 ** - - - - - - - - - -
8 **
9 ** Greenwich mean sidereal time (consistent with IAU 2006 precession).
10 **
11 ** Given:
12 ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
13 ** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
14 **
15 ** Returned (function value):
16 ** double Greenwich mean sidereal time (radians)
17 **
18 ** Notes:
19 **
20 ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
21 ** Julian Dates, apportioned in any convenient way between the
22 ** argument pairs. For example, JD=2450123.7 could be expressed in
23 ** any of these ways, among others:
24 **
25 ** Part A Part B
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 (in the case of UT; the TT is not at all critical
35 ** in this respect). The J2000 and MJD methods are good compromises
36 ** between resolution and convenience. For UT, the date & time
37 ** method is best matched to the algorithm that is used by the Earth
38 ** rotation angle function, called internally: maximum precision is
39 ** delivered when the uta argument is for 0hrs UT1 on the day in
40 ** question and the utb argument lies in the range 0 to 1, or vice
41 ** versa.
42 **
43 ** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
44 ** and TT to predict the effects of precession. If UT1 is used for
45 ** both purposes, errors of order 100 microarcseconds result.
46 **
47 ** 3) This GMST is compatible with the IAU 2006 precession and must not
48 ** be used with other precession models.
49 **
50 ** 4) The result is returned in the range 0 to 2pi.
51 **
52 ** Called:
53 ** eraEra00 Earth rotation angle, IAU 2000
54 ** eraAnp normalize angle into range 0 to 2pi
55 **
56 ** Reference:
57 **
58 ** Capitaine, N., Wallace, P.T. & Chapront, J., 2005,
59 ** Astron.Astrophys. 432, 355
60 **
61 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
62 ** Derived, with permission, from the SOFA library. See notes at end of file.
63 */
64 {
65  double t, gmst;
66 
67 /* TT Julian centuries since J2000.0. */
68  t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC;
69 
70 /* Greenwich mean sidereal time, IAU 2006. */
71  gmst = eraAnp(eraEra00(uta, utb) +
72  ( 0.014506 +
73  ( 4612.156534 +
74  ( 1.3915817 +
75  ( -0.00000044 +
76  ( -0.000029956 +
77  ( -0.0000000368 )
78  * t) * t) * t) * t) * t) * ERFA_DAS2R);
79 
80  return gmst;
81 
82 }
83 /*----------------------------------------------------------------------
84 **
85 **
86 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
87 ** All rights reserved.
88 **
89 ** This library is derived, with permission, from the International
90 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
91 ** available from http://www.iausofa.org.
92 **
93 ** The ERFA version is intended to retain identical functionality to
94 ** the SOFA library, but made distinct through different function and
95 ** file names, as set out in the SOFA license conditions. The SOFA
96 ** original has a role as a reference standard for the IAU and IERS,
97 ** and consequently redistribution is permitted only in its unaltered
98 ** state. The ERFA version is not subject to this restriction and
99 ** therefore can be included in distributions which do not support the
100 ** concept of "read only" software.
101 **
102 ** Although the intent is to replicate the SOFA API (other than
103 ** replacement of prefix names) and results (with the exception of
104 ** bugs; any that are discovered will be fixed), SOFA is not
105 ** responsible for any errors found in this version of the library.
106 **
107 ** If you wish to acknowledge the SOFA heritage, please acknowledge
108 ** that you are using a library derived from SOFA, rather than SOFA
109 ** itself.
110 **
111 **
112 ** TERMS AND CONDITIONS
113 **
114 ** Redistribution and use in source and binary forms, with or without
115 ** modification, are permitted provided that the following conditions
116 ** are met:
117 **
118 ** 1 Redistributions of source code must retain the above copyright
119 ** notice, this list of conditions and the following disclaimer.
120 **
121 ** 2 Redistributions in binary form must reproduce the above copyright
122 ** notice, this list of conditions and the following disclaimer in
123 ** the documentation and/or other materials provided with the
124 ** distribution.
125 **
126 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
127 ** the International Astronomical Union nor the names of its
128 ** contributors may be used to endorse or promote products derived
129 ** from this software without specific prior written permission.
130 **
131 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
132 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
133 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
134 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
135 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
136 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
137 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
138 ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
139 ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
140 ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
141 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
142 ** POSSIBILITY OF SUCH DAMAGE.
143 **
144 */
#define ERFA_DJ00
Definition: erfam.h:87
double eraGmst06(double uta, double utb, double tta, double ttb)
Definition: gmst06.c:3
#define ERFA_DAS2R
Definition: erfam.h:60
double eraEra00(double dj1, double dj2)
Definition: era00.c:3
#define ERFA_DJC
Definition: erfam.h:81
TT t
Definition: test_client.c:26
double eraAnp(double a)
Definition: anp.c:3