An Intercomparison among Star Catalogs. IV. an Extension of the Theory

Details An Intercomparison among Star Catalogs. IV. an Extension of the Theory An Intercomparison among Star Catalogs. IV. an Extension of the Theory

Nov 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...454..361m&link_type=abstract

Astrophysical Journal v.454, p.361

Astronomy and Astrophysics

Astronomy

1

Astrometry, Catalogs, Methods: Analytical

Scientific paper

In this paper we extend the development of the theory of star catalog examination, coordinate mean error evaluation, and proper motion mean error assessment introduced in the first paper of this series. Specifically, we have now shown how to compare positions of a star in different catalogs rather than just coordinates. Thus, the enlarged theory is intrinsically two-dimensional. Further extensions are conceptually straightforward and should have many applications to comparable catalog-to-catalog homogenization and systematic error elimination in multicolor photometric work. In two dimensions, the special case of equal coordinate errors leads to the Rayleigh distribution for the prediction of the angular distance apart distribution. This prediction is tested using all the catalogs examined in Paper III and using the Southern Reference Star (SRS) program source catalogs against a recompilation of the SRS completed in 1993. The conclusions regarding the relative superiority of the large-scale star catalogs, which were the focus of Paper III, are borne out by the new testing. There is, however, a confusing result: the southern hemisphere tests are always superior to the northern ones. Also, the anomalous AGK3 findings, for a catalog without statistical adjustment in any meaningful sense, is explained.

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