| 1 | #include "erfa.h"
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| 2 |
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| 3 | void eraApco(double date1, double date2,
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| 4 | double ebpv[2][3], double ehp[3],
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| 5 | double x, double y, double s, double theta,
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| 6 | double elong, double phi, double hm,
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| 7 | double xp, double yp, double sp,
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| 8 | double refa, double refb,
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| 9 | eraASTROM *astrom)
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| 10 | /*
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| 11 | ** - - - - - - - -
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| 12 | ** e r a A p c o
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| 13 | ** - - - - - - - -
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| 14 | **
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| 15 | ** For a terrestrial observer, prepare star-independent astrometry
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| 16 | ** parameters for transformations between ICRS and observed
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| 17 | ** coordinates. The caller supplies the Earth ephemeris, the Earth
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| 18 | ** rotation information and the refraction constants as well as the
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| 19 | ** site coordinates.
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| 20 | **
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| 21 | ** Given:
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| 22 | ** date1 double TDB as a 2-part...
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| 23 | ** date2 double ...Julian Date (Note 1)
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| 24 | ** ebpv double[2][3] Earth barycentric PV (au, au/day, Note 2)
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| 25 | ** ehp double[3] Earth heliocentric P (au, Note 2)
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| 26 | ** x,y double CIP X,Y (components of unit vector)
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| 27 | ** s double the CIO locator s (radians)
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| 28 | ** theta double Earth rotation angle (radians)
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| 29 | ** elong double longitude (radians, east +ve, Note 3)
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| 30 | ** phi double latitude (geodetic, radians, Note 3)
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| 31 | ** hm double height above ellipsoid (m, geodetic, Note 3)
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| 32 | ** xp,yp double polar motion coordinates (radians, Note 4)
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| 33 | ** sp double the TIO locator s' (radians, Note 4)
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| 34 | ** refa double refraction constant A (radians, Note 5)
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| 35 | ** refb double refraction constant B (radians, Note 5)
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| 36 | **
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| 37 | ** Returned:
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| 38 | ** astrom eraASTROM* star-independent astrometry parameters:
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| 39 | ** pmt double PM time interval (SSB, Julian years)
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| 40 | ** eb double[3] SSB to observer (vector, au)
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| 41 | ** eh double[3] Sun to observer (unit vector)
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| 42 | ** em double distance from Sun to observer (au)
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| 43 | ** v double[3] barycentric observer velocity (vector, c)
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| 44 | ** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
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| 45 | ** bpn double[3][3] bias-precession-nutation matrix
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| 46 | ** along double longitude + s' (radians)
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| 47 | ** xpl double polar motion xp wrt local meridian (radians)
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| 48 | ** ypl double polar motion yp wrt local meridian (radians)
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| 49 | ** sphi double sine of geodetic latitude
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| 50 | ** cphi double cosine of geodetic latitude
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| 51 | ** diurab double magnitude of diurnal aberration vector
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| 52 | ** eral double "local" Earth rotation angle (radians)
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| 53 | ** refa double refraction constant A (radians)
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| 54 | ** refb double refraction constant B (radians)
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| 55 | **
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| 56 | ** Notes:
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| 57 | **
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| 58 | ** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
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| 59 | ** convenient way between the two arguments. For example,
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| 60 | ** JD(TDB)=2450123.7 could be expressed in any of these ways, among
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| 61 | ** others:
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| 62 | **
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| 63 | ** date1 date2
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| 64 | **
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| 65 | ** 2450123.7 0.0 (JD method)
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| 66 | ** 2451545.0 -1421.3 (J2000 method)
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| 67 | ** 2400000.5 50123.2 (MJD method)
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| 68 | ** 2450123.5 0.2 (date & time method)
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| 69 | **
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| 70 | ** The JD method is the most natural and convenient to use in cases
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| 71 | ** where the loss of several decimal digits of resolution is
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| 72 | ** acceptable. The J2000 method is best matched to the way the
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| 73 | ** argument is handled internally and will deliver the optimum
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| 74 | ** resolution. The MJD method and the date & time methods are both
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| 75 | ** good compromises between resolution and convenience. For most
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| 76 | ** applications of this function the choice will not be at all
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| 77 | ** critical.
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| 78 | **
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| 79 | ** TT can be used instead of TDB without any significant impact on
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| 80 | ** accuracy.
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| 81 | **
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| 82 | ** 2) The vectors eb, eh, and all the astrom vectors, are with respect
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| 83 | ** to BCRS axes.
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| 84 | **
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| 85 | ** 3) The geographical coordinates are with respect to the ERFA_WGS84
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| 86 | ** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN
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| 87 | ** CONVENTION: the longitude required by the present function is
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| 88 | ** right-handed, i.e. east-positive, in accordance with geographical
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| 89 | ** convention.
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| 90 | **
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| 91 | ** 4) xp and yp are the coordinates (in radians) of the Celestial
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| 92 | ** Intermediate Pole with respect to the International Terrestrial
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| 93 | ** Reference System (see IERS Conventions), measured along the
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| 94 | ** meridians 0 and 90 deg west respectively. sp is the TIO locator
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| 95 | ** s', in radians, which positions the Terrestrial Intermediate
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| 96 | ** Origin on the equator. For many applications, xp, yp and
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| 97 | ** (especially) sp can be set to zero.
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| 98 | **
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| 99 | ** Internally, the polar motion is stored in a form rotated onto the
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| 100 | ** local meridian.
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| 101 | **
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| 102 | ** 5) The refraction constants refa and refb are for use in a
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| 103 | ** dZ = A*tan(Z)+B*tan^3(Z) model, where Z is the observed
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| 104 | ** (i.e. refracted) zenith distance and dZ is the amount of
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| 105 | ** refraction.
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| 106 | **
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| 107 | ** 6) It is advisable to take great care with units, as even unlikely
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| 108 | ** values of the input parameters are accepted and processed in
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| 109 | ** accordance with the models used.
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| 110 | **
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| 111 | ** 7) In cases where the caller does not wish to provide the Earth
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| 112 | ** Ephemeris, the Earth rotation information and refraction
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| 113 | ** constants, the function eraApco13 can be used instead of the
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| 114 | ** present function. This starts from UTC and weather readings etc.
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| 115 | ** and computes suitable values using other ERFA functions.
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| 116 | **
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| 117 | ** 8) This is one of several functions that inserts into the astrom
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| 118 | ** structure star-independent parameters needed for the chain of
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| 119 | ** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
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| 120 | **
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| 121 | ** The various functions support different classes of observer and
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| 122 | ** portions of the transformation chain:
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| 123 | **
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| 124 | ** functions observer transformation
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| 125 | **
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| 126 | ** eraApcg eraApcg13 geocentric ICRS <-> GCRS
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| 127 | ** eraApci eraApci13 terrestrial ICRS <-> CIRS
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| 128 | ** eraApco eraApco13 terrestrial ICRS <-> observed
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| 129 | ** eraApcs eraApcs13 space ICRS <-> GCRS
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| 130 | ** eraAper eraAper13 terrestrial update Earth rotation
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| 131 | ** eraApio eraApio13 terrestrial CIRS <-> observed
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| 132 | **
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| 133 | ** Those with names ending in "13" use contemporary ERFA models to
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| 134 | ** compute the various ephemerides. The others accept ephemerides
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| 135 | ** supplied by the caller.
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| 136 | **
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| 137 | ** The transformation from ICRS to GCRS covers space motion,
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| 138 | ** parallax, light deflection, and aberration. From GCRS to CIRS
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| 139 | ** comprises frame bias and precession-nutation. From CIRS to
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| 140 | ** observed takes account of Earth rotation, polar motion, diurnal
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| 141 | ** aberration and parallax (unless subsumed into the ICRS <-> GCRS
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| 142 | ** transformation), and atmospheric refraction.
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| 143 | **
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| 144 | ** 9) The context structure astrom produced by this function is used by
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| 145 | ** eraAtioq, eraAtoiq, eraAtciq* and eraAticq*.
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| 146 | **
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| 147 | ** Called:
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| 148 | ** eraAper astrometry parameters: update ERA
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| 149 | ** eraC2ixys celestial-to-intermediate matrix, given X,Y and s
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| 150 | ** eraPvtob position/velocity of terrestrial station
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| 151 | ** eraTrxpv product of transpose of r-matrix and pv-vector
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| 152 | ** eraApcs astrometry parameters, ICRS-GCRS, space observer
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| 153 | ** eraCr copy r-matrix
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| 154 | **
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| 155 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 156 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 157 | */
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| 158 | {
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| 159 | double sl, cl, r[3][3], pvc[2][3], pv[2][3];
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| 160 |
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| 161 |
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| 162 | /* Longitude with adjustment for TIO locator s'. */
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| 163 | astrom->along = elong + sp;
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| 164 |
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| 165 | /* Polar motion, rotated onto the local meridian. */
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| 166 | sl = sin(astrom->along);
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| 167 | cl = cos(astrom->along);
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| 168 | astrom->xpl = xp*cl - yp*sl;
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| 169 | astrom->ypl = xp*sl + yp*cl;
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| 170 |
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| 171 | /* Functions of latitude. */
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| 172 | astrom->sphi = sin(phi);
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| 173 | astrom->cphi = cos(phi);
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| 174 |
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| 175 | /* Refraction constants. */
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| 176 | astrom->refa = refa;
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| 177 | astrom->refb = refb;
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| 178 |
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| 179 | /* Local Earth rotation angle. */
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| 180 | eraAper(theta, astrom);
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| 181 |
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| 182 | /* Disable the (redundant) diurnal aberration step. */
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| 183 | astrom->diurab = 0.0;
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| 184 |
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| 185 | /* CIO based BPN matrix. */
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| 186 | eraC2ixys(x, y, s, r);
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| 187 |
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| 188 | /* Observer's geocentric position and velocity (m, m/s, CIRS). */
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| 189 | eraPvtob(elong, phi, hm, xp, yp, sp, theta, pvc);
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| 190 |
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| 191 | /* Rotate into GCRS. */
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| 192 | eraTrxpv(r, pvc, pv);
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| 193 |
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| 194 | /* ICRS <-> GCRS parameters. */
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| 195 | eraApcs(date1, date2, pv, ebpv, ehp, astrom);
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| 196 |
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| 197 | /* Store the CIO based BPN matrix. */
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| 198 | eraCr(r, astrom->bpn );
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| 199 |
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| 200 | /* Finished. */
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| 201 |
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| 202 | }
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| 203 | /*----------------------------------------------------------------------
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| 204 | **
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| 205 | **
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| 206 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 207 | ** All rights reserved.
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| 208 | **
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| 209 | ** This library is derived, with permission, from the International
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| 210 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 211 | ** available from http://www.iausofa.org.
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| 212 | **
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| 213 | ** The ERFA version is intended to retain identical functionality to
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| 214 | ** the SOFA library, but made distinct through different function and
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| 215 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 216 | ** original has a role as a reference standard for the IAU and IERS,
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| 217 | ** and consequently redistribution is permitted only in its unaltered
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| 218 | ** state. The ERFA version is not subject to this restriction and
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| 219 | ** therefore can be included in distributions which do not support the
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| 220 | ** concept of "read only" software.
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| 221 | **
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| 222 | ** Although the intent is to replicate the SOFA API (other than
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| 223 | ** replacement of prefix names) and results (with the exception of
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| 224 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 225 | ** responsible for any errors found in this version of the library.
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| 226 | **
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| 227 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 228 | ** that you are using a library derived from SOFA, rather than SOFA
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| 229 | ** itself.
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| 230 | **
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| 231 | **
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| 232 | ** TERMS AND CONDITIONS
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| 233 | **
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| 234 | ** Redistribution and use in source and binary forms, with or without
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| 235 | ** modification, are permitted provided that the following conditions
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| 236 | ** are met:
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| 237 | **
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| 238 | ** 1 Redistributions of source code must retain the above copyright
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| 239 | ** notice, this list of conditions and the following disclaimer.
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| 240 | **
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| 241 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 242 | ** notice, this list of conditions and the following disclaimer in
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| 243 | ** the documentation and/or other materials provided with the
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| 244 | ** distribution.
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| 245 | **
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| 246 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 247 | ** the International Astronomical Union nor the names of its
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| 248 | ** contributors may be used to endorse or promote products derived
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| 249 | ** from this software without specific prior written permission.
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| 250 | **
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| 251 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 252 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 253 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 254 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 255 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 256 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 257 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 258 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 259 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 260 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 261 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 262 | ** POSSIBILITY OF SUCH DAMAGE.
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| 263 | **
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| 264 | */
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