1 | #include "erfa.h"
|
---|
2 |
|
---|
3 | double eraObl06(double date1, double date2)
|
---|
4 | /*
|
---|
5 | ** - - - - - - - - -
|
---|
6 | ** e r a O b l 0 6
|
---|
7 | ** - - - - - - - - -
|
---|
8 | **
|
---|
9 | ** Mean obliquity of the ecliptic, IAU 2006 precession model.
|
---|
10 | **
|
---|
11 | ** Given:
|
---|
12 | ** date1,date2 double TT as a 2-part Julian Date (Note 1)
|
---|
13 | **
|
---|
14 | ** Returned (function value):
|
---|
15 | ** double obliquity of the ecliptic (radians, Note 2)
|
---|
16 | **
|
---|
17 | ** Notes:
|
---|
18 | **
|
---|
19 | ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
|
---|
20 | ** convenient way between the two arguments. For example,
|
---|
21 | ** JD(TT)=2450123.7 could be expressed in any of these ways,
|
---|
22 | ** among others:
|
---|
23 | **
|
---|
24 | ** date1 date2
|
---|
25 | **
|
---|
26 | ** 2450123.7 0.0 (JD method)
|
---|
27 | ** 2451545.0 -1421.3 (J2000 method)
|
---|
28 | ** 2400000.5 50123.2 (MJD method)
|
---|
29 | ** 2450123.5 0.2 (date & time method)
|
---|
30 | **
|
---|
31 | ** The JD method is the most natural and convenient to use in
|
---|
32 | ** cases where the loss of several decimal digits of resolution
|
---|
33 | ** is acceptable. The J2000 method is best matched to the way
|
---|
34 | ** the argument is handled internally and will deliver the
|
---|
35 | ** optimum resolution. The MJD method and the date & time methods
|
---|
36 | ** are both good compromises between resolution and convenience.
|
---|
37 | **
|
---|
38 | ** 2) The result is the angle between the ecliptic and mean equator of
|
---|
39 | ** date date1+date2.
|
---|
40 | **
|
---|
41 | ** Reference:
|
---|
42 | **
|
---|
43 | ** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
|
---|
44 | **
|
---|
45 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
|
---|
46 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
---|
47 | */
|
---|
48 | {
|
---|
49 | double t, eps0;
|
---|
50 |
|
---|
51 | /* Interval between fundamental date J2000.0 and given date (JC). */
|
---|
52 | t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
|
---|
53 |
|
---|
54 | /* Mean obliquity. */
|
---|
55 | eps0 = (84381.406 +
|
---|
56 | (-46.836769 +
|
---|
57 | ( -0.0001831 +
|
---|
58 | ( 0.00200340 +
|
---|
59 | ( -0.000000576 +
|
---|
60 | ( -0.0000000434) * t) * t) * t) * t) * t) * ERFA_DAS2R;
|
---|
61 |
|
---|
62 | return eps0;
|
---|
63 |
|
---|
64 | }
|
---|
65 | /*----------------------------------------------------------------------
|
---|
66 | **
|
---|
67 | **
|
---|
68 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
|
---|
69 | ** All rights reserved.
|
---|
70 | **
|
---|
71 | ** This library is derived, with permission, from the International
|
---|
72 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
---|
73 | ** available from http://www.iausofa.org.
|
---|
74 | **
|
---|
75 | ** The ERFA version is intended to retain identical functionality to
|
---|
76 | ** the SOFA library, but made distinct through different function and
|
---|
77 | ** file names, as set out in the SOFA license conditions. The SOFA
|
---|
78 | ** original has a role as a reference standard for the IAU and IERS,
|
---|
79 | ** and consequently redistribution is permitted only in its unaltered
|
---|
80 | ** state. The ERFA version is not subject to this restriction and
|
---|
81 | ** therefore can be included in distributions which do not support the
|
---|
82 | ** concept of "read only" software.
|
---|
83 | **
|
---|
84 | ** Although the intent is to replicate the SOFA API (other than
|
---|
85 | ** replacement of prefix names) and results (with the exception of
|
---|
86 | ** bugs; any that are discovered will be fixed), SOFA is not
|
---|
87 | ** responsible for any errors found in this version of the library.
|
---|
88 | **
|
---|
89 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
---|
90 | ** that you are using a library derived from SOFA, rather than SOFA
|
---|
91 | ** itself.
|
---|
92 | **
|
---|
93 | **
|
---|
94 | ** TERMS AND CONDITIONS
|
---|
95 | **
|
---|
96 | ** Redistribution and use in source and binary forms, with or without
|
---|
97 | ** modification, are permitted provided that the following conditions
|
---|
98 | ** are met:
|
---|
99 | **
|
---|
100 | ** 1 Redistributions of source code must retain the above copyright
|
---|
101 | ** notice, this list of conditions and the following disclaimer.
|
---|
102 | **
|
---|
103 | ** 2 Redistributions in binary form must reproduce the above copyright
|
---|
104 | ** notice, this list of conditions and the following disclaimer in
|
---|
105 | ** the documentation and/or other materials provided with the
|
---|
106 | ** distribution.
|
---|
107 | **
|
---|
108 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
---|
109 | ** the International Astronomical Union nor the names of its
|
---|
110 | ** contributors may be used to endorse or promote products derived
|
---|
111 | ** from this software without specific prior written permission.
|
---|
112 | **
|
---|
113 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
---|
114 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
---|
115 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
---|
116 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
---|
117 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
---|
118 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
---|
119 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
---|
120 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
---|
121 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
---|
122 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
---|
123 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
---|
124 | ** POSSIBILITY OF SUCH DAMAGE.
|
---|
125 | **
|
---|
126 | */
|
---|