On the overlapping plate method in astrometry

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Astronomical Photography, Computer Techniques, Photographic Plates, Algorithms, Covariance, Matrix Theory

Scientific paper

A method is proposed for the simplification of the algorithms of Eichhorn and Russell (1976) for obtaining the solutions of astrometric problems using the overlapping plate method. The method provides the parameter vector (consisting of 'star constants' and plate constants) as well as the covariance matrix of the parameters. A considerable reduction in the amount of matrix algebra required is obtained with the present method.

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