| 1 | #include "erfa.h"
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| 2 |
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| 3 | void eraG2icrs ( double dl, double db, double *dr, double *dd )
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| 4 | /*
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| 5 | ** - - - - - - - - - -
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| 6 | ** e r a G 2 i c r s
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| 7 | ** - - - - - - - - - -
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| 8 | **
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| 9 | ** Transformation from Galactic Coordinates to ICRS.
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| 10 | **
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| 11 | ** Given:
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| 12 | ** dl double galactic longitude (radians)
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| 13 | ** db double galactic latitude (radians)
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| 14 | **
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| 15 | ** Returned:
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| 16 | ** dr double ICRS right ascension (radians)
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| 17 | ** dd double ICRS declination (radians)
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| 18 | **
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| 19 | ** Notes:
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| 20 | **
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| 21 | ** 1) The IAU 1958 system of Galactic coordinates was defined with
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| 22 | ** respect to the now obsolete reference system FK4 B1950.0. When
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| 23 | ** interpreting the system in a modern context, several factors have
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| 24 | ** to be taken into account:
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| 25 | **
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| 26 | ** . The inclusion in FK4 positions of the E-terms of aberration.
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| 27 | **
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| 28 | ** . The distortion of the FK4 proper motion system by differential
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| 29 | ** Galactic rotation.
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| 30 | **
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| 31 | ** . The use of the B1950.0 equinox rather than the now-standard
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| 32 | ** J2000.0.
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| 33 | **
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| 34 | ** . The frame bias between ICRS and the J2000.0 mean place system.
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| 35 | **
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| 36 | ** The Hipparcos Catalogue (Perryman & ESA 1997) provides a rotation
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| 37 | ** matrix that transforms directly between ICRS and Galactic
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| 38 | ** coordinates with the above factors taken into account. The
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| 39 | ** matrix is derived from three angles, namely the ICRS coordinates
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| 40 | ** of the Galactic pole and the longitude of the ascending node of
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| 41 | ** the galactic equator on the ICRS equator. They are given in
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| 42 | ** degrees to five decimal places and for canonical purposes are
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| 43 | ** regarded as exact. In the Hipparcos Catalogue the matrix
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| 44 | ** elements are given to 10 decimal places (about 20 microarcsec).
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| 45 | ** In the present ERFA function the matrix elements have been
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| 46 | ** recomputed from the canonical three angles and are given to 30
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| 47 | ** decimal places.
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| 48 | **
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| 49 | ** 2) The inverse transformation is performed by the function eraIcrs2g.
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| 50 | **
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| 51 | ** Called:
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| 52 | ** eraAnp normalize angle into range 0 to 2pi
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| 53 | ** eraAnpm normalize angle into range +/- pi
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| 54 | ** eraS2c spherical coordinates to unit vector
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| 55 | ** eraTrxp product of transpose of r-matrix and p-vector
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| 56 | ** eraC2s p-vector to spherical
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| 57 | **
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| 58 | ** Reference:
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| 59 | ** Perryman M.A.C. & ESA, 1997, ESA SP-1200, The Hipparcos and Tycho
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| 60 | ** catalogues. Astrometric and photometric star catalogues
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| 61 | ** derived from the ESA Hipparcos Space Astrometry Mission. ESA
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| 62 | ** Publications Division, Noordwijk, Netherlands.
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| 63 | **
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| 64 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 65 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 66 | */
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| 67 | {
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| 68 | double v1[3], v2[3];
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| 69 |
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| 70 | /*
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| 71 | ** L2,B2 system of galactic coordinates in the form presented in the
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| 72 | ** Hipparcos Catalogue. In degrees:
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| 73 | **
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| 74 | ** P = 192.85948 right ascension of the Galactic north pole in ICRS
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| 75 | ** Q = 27.12825 declination of the Galactic north pole in ICRS
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| 76 | ** R = 32.93192 longitude of the ascending node of the Galactic
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| 77 | ** plane on the ICRS equator
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| 78 | **
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| 79 | ** ICRS to galactic rotation matrix, obtained by computing
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| 80 | ** R_3(-R) R_1(pi/2-Q) R_3(pi/2+P) to the full precision shown:
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| 81 | */
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| 82 | double r[3][3] = { { -0.054875560416215368492398900454,
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| 83 | -0.873437090234885048760383168409,
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| 84 | -0.483835015548713226831774175116 },
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| 85 | { +0.494109427875583673525222371358,
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| 86 | -0.444829629960011178146614061616,
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| 87 | +0.746982244497218890527388004556 },
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| 88 | { -0.867666149019004701181616534570,
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| 89 | -0.198076373431201528180486091412,
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| 90 | +0.455983776175066922272100478348 } };
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| 91 |
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| 92 |
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| 93 | /* Spherical to Cartesian. */
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| 94 | eraS2c(dl, db, v1);
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| 95 |
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| 96 | /* Galactic to ICRS. */
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| 97 | eraTrxp(r, v1, v2);
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| 98 |
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| 99 | /* Cartesian to spherical. */
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| 100 | eraC2s(v2, dr, dd);
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| 101 |
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| 102 | /* Express in conventional ranges. */
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| 103 | *dr = eraAnp(*dr);
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| 104 | *dd = eraAnpm(*dd);
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| 105 |
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| 106 | /* Finished. */
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| 107 |
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| 108 | }
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| 109 | /*----------------------------------------------------------------------
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| 110 | **
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| 111 | **
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| 112 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 113 | ** All rights reserved.
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| 114 | **
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| 115 | ** This library is derived, with permission, from the International
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| 116 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 117 | ** available from http://www.iausofa.org.
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| 118 | **
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| 119 | ** The ERFA version is intended to retain identical functionality to
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| 120 | ** the SOFA library, but made distinct through different function and
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| 121 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 122 | ** original has a role as a reference standard for the IAU and IERS,
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| 123 | ** and consequently redistribution is permitted only in its unaltered
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| 124 | ** state. The ERFA version is not subject to this restriction and
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| 125 | ** therefore can be included in distributions which do not support the
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| 126 | ** concept of "read only" software.
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| 127 | **
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| 128 | ** Although the intent is to replicate the SOFA API (other than
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| 129 | ** replacement of prefix names) and results (with the exception of
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| 130 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 131 | ** responsible for any errors found in this version of the library.
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| 132 | **
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| 133 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 134 | ** that you are using a library derived from SOFA, rather than SOFA
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| 135 | ** itself.
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| 136 | **
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| 137 | **
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| 138 | ** TERMS AND CONDITIONS
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| 139 | **
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| 140 | ** Redistribution and use in source and binary forms, with or without
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| 141 | ** modification, are permitted provided that the following conditions
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| 142 | ** are met:
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| 143 | **
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| 144 | ** 1 Redistributions of source code must retain the above copyright
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| 145 | ** notice, this list of conditions and the following disclaimer.
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| 146 | **
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| 147 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 148 | ** notice, this list of conditions and the following disclaimer in
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| 149 | ** the documentation and/or other materials provided with the
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| 150 | ** distribution.
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| 151 | **
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| 152 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 153 | ** the International Astronomical Union nor the names of its
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| 154 | ** contributors may be used to endorse or promote products derived
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| 155 | ** from this software without specific prior written permission.
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| 156 | **
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| 157 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 158 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 159 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 160 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 161 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 162 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 163 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 164 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 165 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 166 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 167 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 168 | ** POSSIBILITY OF SUCH DAMAGE.
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| 169 | **
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| 170 | */
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