#include "sofa.h" int iauPmsafe(double ra1, double dec1, double pmr1, double pmd1, double px1, double rv1, double ep1a, double ep1b, double ep2a, double ep2b, double *ra2, double *dec2, double *pmr2, double *pmd2, double *px2, double *rv2) /* ** - - - - - - - - - - ** i a u P m s a f e ** - - - - - - - - - - ** ** Star proper motion: update star catalog data for space motion, with ** special handling to handle the zero parallax case. ** ** This function is part of the International Astronomical Union's ** SOFA (Standards of Fundamental Astronomy) software collection. ** ** Status: support function. ** ** Given: ** ra1 double right ascension (radians), before ** dec1 double declination (radians), before ** pmr1 double RA proper motion (radians/year), before ** pmd1 double Dec proper motion (radians/year), before ** px1 double parallax (arcseconds), before ** rv1 double radial velocity (km/s, +ve = receding), before ** ep1a double "before" epoch, part A (Note 1) ** ep1b double "before" epoch, part B (Note 1) ** ep2a double "after" epoch, part A (Note 1) ** ep2b double "after" epoch, part B (Note 1) ** ** Returned: ** ra2 double right ascension (radians), after ** dec2 double declination (radians), after ** pmr2 double RA proper motion (radians/year), after ** pmd2 double Dec proper motion (radians/year), after ** px2 double parallax (arcseconds), after ** rv2 double radial velocity (km/s, +ve = receding), after ** ** Returned (function value): ** int status: ** -1 = system error (should not occur) ** 0 = no warnings or errors ** 1 = distance overridden (Note 6) ** 2 = excessive velocity (Note 7) ** 4 = solution didn't converge (Note 8) ** else = binary logical OR of the above warnings ** ** Notes: ** ** 1) The starting and ending TDB epochs ep1a+ep1b and ep2a+ep2b are ** Julian Dates, apportioned in any convenient way between the two ** parts (A and B). For example, JD(TDB)=2450123.7 could be ** expressed in any of these ways, among others: ** ** epNa epNb ** ** 2450123.7 0.0 (JD method) ** 2451545.0 -1421.3 (J2000 method) ** 2400000.5 50123.2 (MJD method) ** 2450123.5 0.2 (date & time method) ** ** The JD method is the most natural and convenient to use in cases ** where the loss of several decimal digits of resolution is ** acceptable. The J2000 method is best matched to the way the ** argument is handled internally and will deliver the optimum ** resolution. The MJD method and the date & time methods are both ** good compromises between resolution and convenience. ** ** 2) In accordance with normal star-catalog conventions, the object's ** right ascension and declination are freed from the effects of ** secular aberration. The frame, which is aligned to the catalog ** equator and equinox, is Lorentzian and centered on the SSB. ** ** The proper motions are the rate of change of the right ascension ** and declination at the catalog epoch and are in radians per TDB ** Julian year. ** ** The parallax and radial velocity are in the same frame. ** ** 3) Care is needed with units. The star coordinates are in radians ** and the proper motions in radians per Julian year, but the ** parallax is in arcseconds. ** ** 4) The RA proper motion is in terms of coordinate angle, not true ** angle. If the catalog uses arcseconds for both RA and Dec proper ** motions, the RA proper motion will need to be divided by cos(Dec) ** before use. ** ** 5) Straight-line motion at constant speed, in the inertial frame, is ** assumed. ** ** 6) An extremely small (or zero or negative) parallax is overridden ** to ensure that the object is at a finite but very large distance, ** but not so large that the proper motion is equivalent to a large ** but safe speed (about 0.1c using the chosen constant). A warning ** status of 1 is added to the status if this action has been taken. ** ** 7) If the space velocity is a significant fraction of c (see the ** constant VMAX in the function iauStarpv), it is arbitrarily set ** to zero. When this action occurs, 2 is added to the status. ** ** 8) The relativistic adjustment carried out in the iauStarpv function ** involves an iterative calculation. If the process fails to ** converge within a set number of iterations, 4 is added to the ** status. ** ** Called: ** iauSeps angle between two points ** iauStarpm update star catalog data for space motion ** ** This revision: 2014 July 1 ** ** SOFA release 2016-05-03 ** ** Copyright (C) 2016 IAU SOFA Board. See notes at end. */ { /* Minimum allowed parallax (arcsec) */ const double PXMIN = 5e-7; /* Factor giving maximum allowed transverse speed of about 1% c */ const double F = 326.0; int jpx, j; double pm, px1a; /* Proper motion in one year (radians). */ pm = iauSeps(ra1, dec1, ra1+pmr1, dec1+pmd1); /* Override the parallax to reduce the chances of a warning status. */ jpx = 0; px1a = px1; pm *= F; if (px1a < pm) {jpx = 1; px1a = pm;} if (px1a < PXMIN) {jpx = 1; px1a = PXMIN;} /* Carry out the transformation using the modified parallax. */ j = iauStarpm(ra1, dec1, pmr1, pmd1, px1a, rv1, ep1a, ep1b, ep2a, ep2b, ra2, dec2, pmr2, pmd2, px2, rv2); /* Revise and return the status. */ if ( !(j%2) ) j += jpx; return j; /* Finished. */ /*---------------------------------------------------------------------- ** ** Copyright (C) 2016 ** Standards Of Fundamental Astronomy Board ** of the International Astronomical Union. ** ** ===================== ** SOFA Software License ** ===================== ** ** NOTICE TO USER: ** ** BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND ** CONDITIONS WHICH APPLY TO ITS USE. ** ** 1. The Software is owned by the IAU SOFA Board ("SOFA"). ** ** 2. Permission is granted to anyone to use the SOFA software for any ** purpose, including commercial applications, free of charge and ** without payment of royalties, subject to the conditions and ** restrictions listed below. ** ** 3. You (the user) may copy and distribute SOFA source code to others, ** and use and adapt its code and algorithms in your own software, ** on a world-wide, royalty-free basis. That portion of your ** distribution that does not consist of intact and unchanged copies ** of SOFA source code files is a "derived work" that must comply ** with the following requirements: ** ** a) Your work shall be marked or carry a statement that it ** (i) uses routines and computations derived by you from ** software provided by SOFA under license to you; and ** (ii) does not itself constitute software provided by and/or ** endorsed by SOFA. ** ** b) The source code of your derived work must contain descriptions ** of how the derived work is based upon, contains and/or differs ** from the original SOFA software. ** ** c) The names of all routines in your derived work shall not ** include the prefix "iau" or "sofa" or trivial modifications ** thereof such as changes of case. ** ** d) The origin of the SOFA components of your derived work must ** not be misrepresented; you must not claim that you wrote the ** original software, nor file a patent application for SOFA ** software or algorithms embedded in the SOFA software. ** ** e) These requirements must be reproduced intact in any source ** distribution and shall apply to anyone to whom you have ** granted a further right to modify the source code of your ** derived work. ** ** Note that, as originally distributed, the SOFA software is ** intended to be a definitive implementation of the IAU standards, ** and consequently third-party modifications are discouraged. All ** variations, no matter how minor, must be explicitly marked as ** such, as explained above. ** ** 4. You shall not cause the SOFA software to be brought into ** disrepute, either by misuse, or use for inappropriate tasks, or ** by inappropriate modification. ** ** 5. The SOFA software is provided "as is" and SOFA makes no warranty ** as to its use or performance. SOFA does not and cannot warrant ** the performance or results which the user may obtain by using the ** SOFA software. SOFA makes no warranties, express or implied, as ** to non-infringement of third party rights, merchantability, or ** fitness for any particular purpose. In no event will SOFA be ** liable to the user for any consequential, incidental, or special ** damages, including any lost profits or lost savings, even if a ** SOFA representative has been advised of such damages, or for any ** claim by any third party. ** ** 6. The provision of any version of the SOFA software under the terms ** and conditions specified herein does not imply that future ** versions will also be made available under the same terms and ** conditions. * ** In any published work or commercial product which uses the SOFA ** software directly, acknowledgement (see www.iausofa.org) is ** appreciated. ** ** Correspondence concerning SOFA software should be addressed as ** follows: ** ** By email: sofa@ukho.gov.uk ** By post: IAU SOFA Center ** HM Nautical Almanac Office ** UK Hydrographic Office ** Admiralty Way, Taunton ** Somerset, TA1 2DN ** United Kingdom ** **--------------------------------------------------------------------*/ }