The direct use of spherical coordinates in focal plane astrometry

Details The direct use of spherical coordinates in focal plane astrometry The direct use of spherical coordinates in focal plane astrometry

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...150..251e&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 150, no. 2, Sept. 1985, p. 251-255.

Mathematics

6

Astrometry, Astronomical Coordinates, Focal Plane Devices, Reference Stars, Spherical Coordinates, Astronomical Catalogs, Matrices (Mathematics)

Scientific paper

Formulas are developed which derive corrections to the stars' spherical coordinates directly without using the standard coordinates explicitly other than as auxiliary quantities. These formulas are needed to perform an overlap solution in an extended area, in which a common tangential point for all plates would lead to undesirable geometric distortions or be impossible altogether (e.g. if the overlap complex is larger than a hemisphere). The algorithm developed in this paper also regards the reference star positions as observations rather than as the given quantities as they are considered in conventional astrometry.

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