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| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraIcrs2g ( double dr, double dd, double *dl, double *db ) | 
| 4 |  |  |  |  |  |  | /* | 
| 5 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 6 |  |  |  |  |  |  | **   e r a I c r s 2 g | 
| 7 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 8 |  |  |  |  |  |  | ** | 
| 9 |  |  |  |  |  |  | **  Transformation from ICRS to Galactic Coordinates. | 
| 10 |  |  |  |  |  |  | ** | 
| 11 |  |  |  |  |  |  | **  Given: | 
| 12 |  |  |  |  |  |  | **     dr     double      ICRS right ascension (radians) | 
| 13 |  |  |  |  |  |  | **     dd     double      ICRS declination (radians) | 
| 14 |  |  |  |  |  |  | ** | 
| 15 |  |  |  |  |  |  | **  Returned: | 
| 16 |  |  |  |  |  |  | **     dl     double      galactic longitude (radians) | 
| 17 |  |  |  |  |  |  | **     db     double      galactic latitude (radians) | 
| 18 |  |  |  |  |  |  | ** | 
| 19 |  |  |  |  |  |  | **  Notes: | 
| 20 |  |  |  |  |  |  | ** | 
| 21 |  |  |  |  |  |  | **  1) The IAU 1958 system of Galactic coordinates was defined with | 
| 22 |  |  |  |  |  |  | **     respect to the now obsolete reference system FK4 B1950.0.  When | 
| 23 |  |  |  |  |  |  | **     interpreting the system in a modern context, several factors have | 
| 24 |  |  |  |  |  |  | **     to be taken into account: | 
| 25 |  |  |  |  |  |  | ** | 
| 26 |  |  |  |  |  |  | **     . The inclusion in FK4 positions of the E-terms of aberration. | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **     . The distortion of the FK4 proper motion system by differential | 
| 29 |  |  |  |  |  |  | **       Galactic rotation. | 
| 30 |  |  |  |  |  |  | ** | 
| 31 |  |  |  |  |  |  | **     . The use of the B1950.0 equinox rather than the now-standard | 
| 32 |  |  |  |  |  |  | **       J2000.0. | 
| 33 |  |  |  |  |  |  | ** | 
| 34 |  |  |  |  |  |  | **     . The frame bias between ICRS and the J2000.0 mean place system. | 
| 35 |  |  |  |  |  |  | ** | 
| 36 |  |  |  |  |  |  | **     The Hipparcos Catalogue (Perryman & ESA 1997) provides a rotation | 
| 37 |  |  |  |  |  |  | **     matrix that transforms directly between ICRS and Galactic | 
| 38 |  |  |  |  |  |  | **     coordinates with the above factors taken into account.  The | 
| 39 |  |  |  |  |  |  | **     matrix is derived from three angles, namely the ICRS coordinates | 
| 40 |  |  |  |  |  |  | **     of the Galactic pole and the longitude of the ascending node of | 
| 41 |  |  |  |  |  |  | **     the galactic equator on the ICRS equator.  They are given in | 
| 42 |  |  |  |  |  |  | **     degrees to five decimal places and for canonical purposes are | 
| 43 |  |  |  |  |  |  | **     regarded as exact.  In the Hipparcos Catalogue the matrix | 
| 44 |  |  |  |  |  |  | **     elements are given to 10 decimal places (about 20 microarcsec). | 
| 45 |  |  |  |  |  |  | **     In the present ERFA function the matrix elements have been | 
| 46 |  |  |  |  |  |  | **     recomputed from the canonical three angles and are given to 30 | 
| 47 |  |  |  |  |  |  | **     decimal places. | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **  2) The inverse transformation is performed by the function eraG2icrs. | 
| 50 |  |  |  |  |  |  | ** | 
| 51 |  |  |  |  |  |  | **  Called: | 
| 52 |  |  |  |  |  |  | **     eraAnp       normalize angle into range 0 to 2pi | 
| 53 |  |  |  |  |  |  | **     eraAnpm      normalize angle into range +/- pi | 
| 54 |  |  |  |  |  |  | **     eraS2c       spherical coordinates to unit vector | 
| 55 |  |  |  |  |  |  | **     eraRxp       product of r-matrix and p-vector | 
| 56 |  |  |  |  |  |  | **     eraC2s       p-vector to spherical | 
| 57 |  |  |  |  |  |  | ** | 
| 58 |  |  |  |  |  |  | **  Reference: | 
| 59 |  |  |  |  |  |  | **     Perryman M.A.C. & ESA, 1997, ESA SP-1200, The Hipparcos and Tycho | 
| 60 |  |  |  |  |  |  | **     catalogues.  Astrometric and photometric star catalogues | 
| 61 |  |  |  |  |  |  | **     derived from the ESA Hipparcos Space Astrometry Mission.  ESA | 
| 62 |  |  |  |  |  |  | **     Publications Division, Noordwijk, Netherlands. | 
| 63 |  |  |  |  |  |  | ** | 
| 64 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 65 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 66 |  |  |  |  |  |  | */ | 
| 67 |  |  |  |  |  |  | { | 
| 68 |  |  |  |  |  |  | double v1[3], v2[3]; | 
| 69 |  |  |  |  |  |  |  | 
| 70 |  |  |  |  |  |  | /* | 
| 71 |  |  |  |  |  |  | **  L2,B2 system of galactic coordinates in the form presented in the | 
| 72 |  |  |  |  |  |  | **  Hipparcos Catalogue.  In degrees: | 
| 73 |  |  |  |  |  |  | ** | 
| 74 |  |  |  |  |  |  | **  P = 192.85948    right ascension of the Galactic north pole in ICRS | 
| 75 |  |  |  |  |  |  | **  Q =  27.12825    declination of the Galactic north pole in ICRS | 
| 76 |  |  |  |  |  |  | **  R =  32.93192    longitude of the ascending node of the Galactic | 
| 77 |  |  |  |  |  |  | **                   plane on the ICRS equator | 
| 78 |  |  |  |  |  |  | ** | 
| 79 |  |  |  |  |  |  | **  ICRS to galactic rotation matrix, obtained by computing | 
| 80 |  |  |  |  |  |  | **  R_3(-R) R_1(pi/2-Q) R_3(pi/2+P) to the full precision shown: | 
| 81 |  |  |  |  |  |  | */ | 
| 82 | 0 |  |  |  |  |  | double r[3][3] = { { -0.054875560416215368492398900454, | 
| 83 |  |  |  |  |  |  | -0.873437090234885048760383168409, | 
| 84 |  |  |  |  |  |  | -0.483835015548713226831774175116 }, | 
| 85 |  |  |  |  |  |  | { +0.494109427875583673525222371358, | 
| 86 |  |  |  |  |  |  | -0.444829629960011178146614061616, | 
| 87 |  |  |  |  |  |  | +0.746982244497218890527388004556 }, | 
| 88 |  |  |  |  |  |  | { -0.867666149019004701181616534570, | 
| 89 |  |  |  |  |  |  | -0.198076373431201528180486091412, | 
| 90 |  |  |  |  |  |  | +0.455983776175066922272100478348 } }; | 
| 91 |  |  |  |  |  |  |  | 
| 92 |  |  |  |  |  |  |  | 
| 93 |  |  |  |  |  |  | /* Spherical to Cartesian. */ | 
| 94 | 0 |  |  |  |  |  | eraS2c(dr, dd, v1); | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | /* ICRS to Galactic. */ | 
| 97 | 0 |  |  |  |  |  | eraRxp(r, v1, v2); | 
| 98 |  |  |  |  |  |  |  | 
| 99 |  |  |  |  |  |  | /* Cartesian to spherical. */ | 
| 100 | 0 |  |  |  |  |  | eraC2s(v2, dl, db); | 
| 101 |  |  |  |  |  |  |  | 
| 102 |  |  |  |  |  |  | /* Express in conventional ranges. */ | 
| 103 | 0 |  |  |  |  |  | *dl = eraAnp(*dl); | 
| 104 | 0 |  |  |  |  |  | *db = eraAnpm(*db); | 
| 105 |  |  |  |  |  |  |  | 
| 106 |  |  |  |  |  |  | /* Finished. */ | 
| 107 |  |  |  |  |  |  |  | 
| 108 | 0 |  |  |  |  |  | } | 
| 109 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 110 |  |  |  |  |  |  | ** | 
| 111 |  |  |  |  |  |  | ** | 
| 112 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 113 |  |  |  |  |  |  | **  All rights reserved. | 
| 114 |  |  |  |  |  |  | ** | 
| 115 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 116 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 117 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 118 |  |  |  |  |  |  | ** | 
| 119 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 120 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 121 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 122 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 123 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 124 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 125 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 126 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 127 |  |  |  |  |  |  | ** | 
| 128 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 129 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 130 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 131 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 132 |  |  |  |  |  |  | ** | 
| 133 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 134 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 135 |  |  |  |  |  |  | **  itself. | 
| 136 |  |  |  |  |  |  | ** | 
| 137 |  |  |  |  |  |  | ** | 
| 138 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 139 |  |  |  |  |  |  | ** | 
| 140 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 141 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 142 |  |  |  |  |  |  | **  are met: | 
| 143 |  |  |  |  |  |  | ** | 
| 144 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 145 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 146 |  |  |  |  |  |  | ** | 
| 147 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 148 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 149 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 150 |  |  |  |  |  |  | **    distribution. | 
| 151 |  |  |  |  |  |  | ** | 
| 152 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 153 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 154 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 155 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 156 |  |  |  |  |  |  | ** | 
| 157 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 158 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 159 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 160 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 161 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 162 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 163 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 164 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 165 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 166 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 167 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 168 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 169 |  |  |  |  |  |  | ** | 
| 170 |  |  |  |  |  |  | */ |