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#include "erfa.h" |
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void eraApcs(double date1, double date2, double pv[2][3], |
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double ebpv[2][3], double ehp[3], |
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eraASTROM *astrom) |
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/* |
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** - - - - - - - - |
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** e r a A p c s |
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** - - - - - - - - |
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** |
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** For an observer whose geocentric position and velocity are known, |
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** prepare star-independent astrometry parameters for transformations |
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** between ICRS and GCRS. The Earth ephemeris is supplied by the |
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** caller. |
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** |
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** The parameters produced by this function are required in the space |
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** motion, parallax, light deflection and aberration parts of the |
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** astrometric transformation chain. |
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** |
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** Given: |
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** date1 double TDB as a 2-part... |
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** date2 double ...Julian Date (Note 1) |
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** pv double[2][3] observer's geocentric pos/vel (m, m/s) |
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** ebpv double[2][3] Earth barycentric PV (au, au/day) |
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** ehp double[3] Earth heliocentric P (au) |
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** |
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** Returned: |
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** astrom eraASTROM* star-independent astrometry parameters: |
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** pmt double PM time interval (SSB, Julian years) |
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** eb double[3] SSB to observer (vector, au) |
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** eh double[3] Sun to observer (unit vector) |
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** em double distance from Sun to observer (au) |
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** v double[3] barycentric observer velocity (vector, c) |
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** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor |
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** bpn double[3][3] bias-precession-nutation matrix |
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** along double unchanged |
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** xpl double unchanged |
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** ypl double unchanged |
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** sphi double unchanged |
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** cphi double unchanged |
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** diurab double unchanged |
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** eral double unchanged |
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** refa double unchanged |
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** refb double unchanged |
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** |
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** Notes: |
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** |
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** 1) The TDB date date1+date2 is a Julian Date, apportioned in any |
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** convenient way between the two arguments. For example, |
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** JD(TDB)=2450123.7 could be expressed in any of these ways, among |
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** others: |
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** |
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** date1 date2 |
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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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** 2400000.5 50123.2 (MJD method) |
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** 2450123.5 0.2 (date & time method) |
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** |
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** The JD method is the most natural and convenient to use in cases |
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** where the loss of several decimal digits of resolution is |
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** acceptable. The J2000 method is best matched to the way the |
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** argument is handled internally and will deliver the optimum |
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** resolution. The MJD method and the date & time methods are both |
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** good compromises between resolution and convenience. For most |
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** applications of this function the choice will not be at all |
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** critical. |
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** |
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** TT can be used instead of TDB without any significant impact on |
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** accuracy. |
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** |
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** 2) All the vectors are with respect to BCRS axes. |
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** |
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** 3) Providing separate arguments for (i) the observer's geocentric |
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** position and velocity and (ii) the Earth ephemeris is done for |
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** convenience in the geocentric, terrestrial and Earth orbit cases. |
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** For deep space applications it maybe more convenient to specify |
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** zero geocentric position and velocity and to supply the |
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** observer's position and velocity information directly instead of |
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** with respect to the Earth. However, note the different units: |
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** m and m/s for the geocentric vectors, au and au/day for the |
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** heliocentric and barycentric vectors. |
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** |
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** 4) In cases where the caller does not wish to provide the Earth |
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** ephemeris, the function eraApcs13 can be used instead of the |
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** present function. This computes the Earth ephemeris using the |
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** ERFA function eraEpv00. |
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** |
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** 5) This is one of several functions that inserts into the astrom |
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** structure star-independent parameters needed for the chain of |
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** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed. |
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** |
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** The various functions support different classes of observer and |
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** portions of the transformation chain: |
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** |
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** functions observer transformation |
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** |
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** eraApcg eraApcg13 geocentric ICRS <-> GCRS |
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** eraApci eraApci13 terrestrial ICRS <-> CIRS |
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** eraApco eraApco13 terrestrial ICRS <-> observed |
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** eraApcs eraApcs13 space ICRS <-> GCRS |
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** eraAper eraAper13 terrestrial update Earth rotation |
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** eraApio eraApio13 terrestrial CIRS <-> observed |
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** |
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** Those with names ending in "13" use contemporary ERFA models to |
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** compute the various ephemerides. The others accept ephemerides |
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** supplied by the caller. |
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** |
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** The transformation from ICRS to GCRS covers space motion, |
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** parallax, light deflection, and aberration. From GCRS to CIRS |
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** comprises frame bias and precession-nutation. From CIRS to |
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** observed takes account of Earth rotation, polar motion, diurnal |
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** aberration and parallax (unless subsumed into the ICRS <-> GCRS |
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** transformation), and atmospheric refraction. |
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** |
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** 6) The context structure astrom produced by this function is used by |
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** eraAtciq* and eraAticq*. |
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** |
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** Called: |
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** eraCp copy p-vector |
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** eraPm modulus of p-vector |
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** eraPn decompose p-vector into modulus and direction |
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** eraIr initialize r-matrix to identity |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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/* au/d to m/s */ |
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const double AUDMS = ERFA_DAU/ERFA_DAYSEC; |
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/* Light time for 1 au (day) */ |
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const double CR = ERFA_AULT/ERFA_DAYSEC; |
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int i; |
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double dp, dv, pb[3], vb[3], ph[3], v2, w; |
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/* Time since reference epoch, years (for proper motion calculation). */ |
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astrom->pmt = ( (date1 - ERFA_DJ00) + date2 ) / ERFA_DJY; |
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/* Adjust Earth ephemeris to observer. */ |
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for (i = 0; i < 3; i++) { |
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dp = pv[0][i] / ERFA_DAU; |
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dv = pv[1][i] / AUDMS; |
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pb[i] = ebpv[0][i] + dp; |
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vb[i] = ebpv[1][i] + dv; |
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ph[i] = ehp[i] + dp; |
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} |
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/* Barycentric position of observer (au). */ |
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eraCp(pb, astrom->eb); |
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/* Heliocentric direction and distance (unit vector and au). */ |
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eraPn(ph, &astrom->em, astrom->eh); |
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/* Barycentric vel. in units of c, and reciprocal of Lorenz factor. */ |
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v2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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w = vb[i] * CR; |
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astrom->v[i] = w; |
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v2 += w*w; |
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} |
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astrom->bm1 = sqrt(1.0 - v2); |
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/* Reset the NPB matrix. */ |
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eraIr(astrom->bpn); |
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/* Finished. */ |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |