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 #include "erfa.h"  | 
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 void eraC2t00a(double tta, double ttb, double uta, double utb,  | 
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                double xp, double yp, double rc2t[3][3])  | 
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 /*  | 
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 **  - - - - - - - - - -  | 
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 **   e r a C 2 t 0 0 a  | 
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 **  - - - - - - - - - -  | 
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 **  | 
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 **  Form the celestial to terrestrial matrix given the date, the UT1 and  | 
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 **  the polar motion, using the IAU 2000A nutation model.  | 
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 **  | 
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 **  Given:  | 
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 **     tta,ttb  double         TT as a 2-part Julian Date (Note 1)  | 
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 **     uta,utb  double         UT1 as a 2-part Julian Date (Note 1)  | 
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 **     xp,yp    double         coordinates of the pole (radians, Note 2)  | 
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 **  | 
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 **  Returned:  | 
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 **     rc2t     double[3][3]   celestial-to-terrestrial matrix (Note 3)  | 
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 **  | 
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 **  Notes:  | 
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 **  | 
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 **  1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,  | 
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24
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 **     apportioned in any convenient way between the arguments uta and  | 
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 **     utb.  For example, JD(UT1)=2450123.7 could be expressed in any of  | 
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 **     these ways, among others:  | 
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 **             uta            utb  | 
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 **  | 
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 **         2450123.7           0.0       (JD method)  | 
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 **         2451545.0       -1421.3       (J2000 method)  | 
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32
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 **         2400000.5       50123.2       (MJD method)  | 
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33
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 **         2450123.5           0.2       (date & time method)  | 
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34
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 **  | 
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35
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 **     The JD method is the most natural and convenient to use in  | 
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36
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 **     cases where the loss of several decimal digits of resolution is  | 
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 **     acceptable.  The J2000 and MJD methods are good compromises  | 
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38
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 **     between resolution and convenience.  In the case of uta,utb, the  | 
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39
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 **     date & time method is best matched to the Earth rotation angle  | 
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 **     algorithm used:  maximum precision is delivered when the uta  | 
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 **     argument is for 0hrs UT1 on the day in question and the utb  | 
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 **     argument lies in the range 0 to 1, or vice versa.  | 
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 **  | 
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44
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 **  2) The arguments xp and yp are the coordinates (in radians) of the  | 
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 **     Celestial Intermediate Pole with respect to the International  | 
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46
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 **     Terrestrial Reference System (see IERS Conventions 2003),  | 
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47
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 **     measured along the meridians to 0 and 90 deg west respectively.  | 
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48
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 **  | 
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49
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 **  3) The matrix rc2t transforms from celestial to terrestrial  | 
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50
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 **     coordinates:  | 
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51
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 **  | 
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52
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 **        [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]  | 
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53
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 **  | 
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54
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 **              = rc2t * [CRS]  | 
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55
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 **  | 
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56
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 **     where [CRS] is a vector in the Geocentric Celestial Reference  | 
| 
57
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 **     System and [TRS] is a vector in the International Terrestrial  | 
| 
58
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 **     Reference System (see IERS Conventions 2003), RC2I is the  | 
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59
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 **     celestial-to-intermediate matrix, ERA is the Earth rotation  | 
| 
60
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 **     angle and RPOM is the polar motion matrix.  | 
| 
61
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 **  | 
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62
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 **  4) A faster, but slightly less accurate result (about 1 mas), can  | 
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63
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 **     be obtained by using instead the eraC2t00b function.  | 
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64
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 **  | 
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65
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 **  Called:  | 
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66
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 **     eraC2i00a    celestial-to-intermediate matrix, IAU 2000A  | 
| 
67
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 **     eraEra00     Earth rotation angle, IAU 2000  | 
| 
68
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 **     eraSp00      the TIO locator s', IERS 2000  | 
| 
69
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 **     eraPom00     polar motion matrix  | 
| 
70
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 **     eraC2tcio    form CIO-based celestial-to-terrestrial matrix  | 
| 
71
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 **  | 
| 
72
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 **  Reference:  | 
| 
73
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 **  | 
| 
74
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 **     McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),  | 
| 
75
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 **     IERS Technical Note No. 32, BKG (2004)  | 
| 
76
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 **  | 
| 
77
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 **  Copyright (C) 2013-2020, NumFOCUS Foundation.  | 
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78
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 **  Derived, with permission, from the SOFA library.  See notes at end of file.  | 
| 
79
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 */  | 
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80
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 {  | 
| 
81
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    double rc2i[3][3], era, sp, rpom[3][3];  | 
| 
82
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| 
83
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    | 
| 
84
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 /* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */  | 
| 
85
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0
  
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    eraC2i00a(tta, ttb, rc2i );  | 
| 
86
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    | 
| 
87
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 /* Predict the Earth rotation angle for this UT1. */  | 
| 
88
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0
  
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    era = eraEra00(uta, utb);  | 
| 
89
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    | 
| 
90
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 /* Estimate s'. */  | 
| 
91
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0
  
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    sp = eraSp00(tta, ttb);  | 
| 
92
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    | 
| 
93
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 /* Form the polar motion matrix. */  | 
| 
94
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0
  
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    eraPom00(xp, yp, sp, rpom);  | 
| 
95
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    | 
| 
96
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 /* Combine to form the celestial-to-terrestrial matrix. */  | 
| 
97
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0
  
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    eraC2tcio(rc2i, era, rpom, rc2t);  | 
| 
98
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    | 
| 
99
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0
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    return;  | 
| 
100
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    | 
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101
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 }  | 
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102
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 /*----------------------------------------------------------------------  | 
| 
103
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 **    | 
| 
104
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 **    | 
| 
105
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 **  Copyright (C) 2013-2020, NumFOCUS Foundation.  | 
| 
106
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 **  All rights reserved.  | 
| 
107
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 **    | 
| 
108
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 **  This library is derived, with permission, from the International  | 
| 
109
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 **  Astronomical Union's "Standards of Fundamental Astronomy" library,  | 
| 
110
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 **  available from http://www.iausofa.org.  | 
| 
111
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 **    | 
| 
112
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 **  The ERFA version is intended to retain identical functionality to  | 
| 
113
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 **  the SOFA library, but made distinct through different function and  | 
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114
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 **  file names, as set out in the SOFA license conditions.  The SOFA  | 
| 
115
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 **  original has a role as a reference standard for the IAU and IERS,  | 
| 
116
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 **  and consequently redistribution is permitted only in its unaltered  | 
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117
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 **  state.  The ERFA version is not subject to this restriction and  | 
| 
118
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 **  therefore can be included in distributions which do not support the  | 
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119
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 **  concept of "read only" software.  | 
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120
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 **    | 
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121
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 **  Although the intent is to replicate the SOFA API (other than  | 
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122
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 **  replacement of prefix names) and results (with the exception of  | 
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123
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 **  bugs;  any that are discovered will be fixed), SOFA is not  | 
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124
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 **  responsible for any errors found in this version of the library.  | 
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125
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 **    | 
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126
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 **  If you wish to acknowledge the SOFA heritage, please acknowledge  | 
| 
127
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 **  that you are using a library derived from SOFA, rather than SOFA  | 
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128
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 **  itself.  | 
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129
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 **    | 
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130
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 **    | 
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 **  TERMS AND CONDITIONS  | 
| 
132
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 **    | 
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133
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 **  Redistribution and use in source and binary forms, with or without  | 
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134
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 **  modification, are permitted provided that the following conditions  | 
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135
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 **  are met:  | 
| 
136
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 **    | 
| 
137
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 **  1 Redistributions of source code must retain the above copyright  | 
| 
138
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 **    notice, this list of conditions and the following disclaimer.  | 
| 
139
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 **    | 
| 
140
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 **  2 Redistributions in binary form must reproduce the above copyright  | 
| 
141
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 **    notice, this list of conditions and the following disclaimer in  | 
| 
142
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 **    the documentation and/or other materials provided with the  | 
| 
143
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 **    distribution.  | 
| 
144
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 **    | 
| 
145
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 **  3 Neither the name of the Standards Of Fundamental Astronomy Board,  | 
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146
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 **    the International Astronomical Union nor the names of its  | 
| 
147
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 **    contributors may be used to endorse or promote products derived  | 
| 
148
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 **    from this software without specific prior written permission.  | 
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149
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 **    | 
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150
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 **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS  | 
| 
151
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 **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT  | 
| 
152
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 **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS  | 
| 
153
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 **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE  | 
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154
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 **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,  | 
| 
155
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 **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,  | 
| 
156
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 **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;  | 
| 
157
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 **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER  | 
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158
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 **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT  | 
| 
159
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 **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN  | 
| 
160
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 **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE  | 
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161
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 **  POSSIBILITY OF SUCH DAMAGE.  | 
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162
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 **    | 
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163
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 */  |