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era.ab.md

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eraAb

ERFA.ab(pnat, v, s, bm1)

Apply aberration to transform natural direction into proper direction.

Given:

pnat double[3] natural direction to the source (unit vector) v double[3] observer barycentric velocity in units of c s double distance between the Sun and the observer (au) bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor

Returned:

ppr double[3] proper direction to source (unit vector)

Notes:

  1. The algorithm is based on Expr. (7.40) in the Explanatory Supplement (Urban & Seidelmann 2013), but with the following changes:
   o  Rigorous rather than approximate normalization is applied.

o The gravitational potential term from Expr. (7) in Klioner (2003) is added, taking into account only the Sun's contribution. This has a maximum effect of about 0.4 microarcsecond.

  1. In almost all cases, the maximum accuracy will be limited by the supplied velocity. For example, if the ERFA eraEpv00 function is used, errors of up to 5 microarcseconds could occur.

References:

Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to the Astronomical Almanac, 3rd ed., University Science Books (2013).

Klioner, Sergei A., "A practical relativistic model for micro- arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003).

Called:

   eraPdp       scalar product of two p-vectors

This revision: 2021 February 24

Copyright (C) 2013-2021, NumFOCUS Foundation. Derived, with permission, from the SOFA library.