Astro-PAL
view release on metacpan or search on metacpan
erfasrc/src/starpm.c view on Meta::CPAN
** 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 dates 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 interpreted
** to mean that the object is on the "celestial sphere", the radius
** of which is an arbitrary (large) value (see the eraStarpv
** function for the value used). When the distance is overridden in
** this way, the status, initially zero, has 1 added to it.
**
** 7) If the space velocity is a significant fraction of c (see the
** constant VMAX in the function eraStarpv), it is arbitrarily set
** to zero. When this action occurs, 2 is added to the status.
**
** 8) The relativistic adjustment carried out in the eraStarpv function
** involves an iterative calculation. If the process fails to
** converge within a set number of iterations, 4 is added to the
** status.
**
** Called:
** eraStarpv star catalog data to space motion pv-vector
** eraPvu update a pv-vector
** eraPdp scalar product of two p-vectors
** eraPvstar space motion pv-vector to star catalog data
**
** Copyright (C) 2013-2020, NumFOCUS Foundation.
** Derived, with permission, from the SOFA library. See notes at end of file.
*/
{
double pv1[2][3], tl1, dt, pv[2][3], r2, rdv, v2, c2mv2, tl2,
pv2[2][3];
int j1, j2, j;
/* RA,Dec etc. at the "before" epoch to space motion pv-vector. */
j1 = eraStarpv(ra1, dec1, pmr1, pmd1, px1, rv1, pv1);
/* Light time when observed (days). */
tl1 = eraPm(pv1[0]) / ERFA_DC;
/* Time interval, "before" to "after" (days). */
dt = (ep2a - ep1a) + (ep2b - ep1b);
/* Move star along track from the "before" observed position to the */
/* "after" geometric position. */
eraPvu(dt + tl1, pv1, pv);
/* From this geometric position, deduce the observed light time (days) */
/* at the "after" epoch (with theoretically unneccessary error check). */
r2 = eraPdp(pv[0], pv[0]);
rdv = eraPdp(pv[0], pv[1]);
v2 = eraPdp(pv[1], pv[1]);
c2mv2 = ERFA_DC*ERFA_DC - v2;
if (c2mv2 <= 0) return -1;
tl2 = (-rdv + sqrt(rdv*rdv + c2mv2*r2)) / c2mv2;
/* Move the position along track from the observed place at the */
/* "before" epoch to the observed place at the "after" epoch. */
eraPvu(dt + (tl1 - tl2), pv1, pv2);
/* Space motion pv-vector to RA,Dec etc. at the "after" epoch. */
j2 = eraPvstar(pv2, ra2, dec2, pmr2, pmd2, px2, rv2);
/* Final status. */
j = (j2 == 0) ? j1 : -1;
return j;
}
/*----------------------------------------------------------------------
**
**
** Copyright (C) 2013-2020, NumFOCUS Foundation.
** All rights reserved.
**
** This library is derived, with permission, from the International
** Astronomical Union's "Standards of Fundamental Astronomy" library,
( run in 0.905 second using v1.01-cache-2.11-cpan-71847e10f99 )