A non-deterministic approach to Schmidt plate astrometry

Statistics – Computation

Scientific paper

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Astrometry, Photographic Plates, Schmidt Telescopes, Astronomical Catalogs, Computational Astrophysics, Hubble Space Telescope, Photographic Measurement

Scientific paper

A statistical approach to global Schmidt plate reduction is proposed using the collocation method, which involves the inspection of the residuals of the reference stars in order to estimate the remaining systematic trends, which are filtered therefrom by applying a least-squares optimum principle. The method is shown to significantly improve the astrometric quality of a conventional Schmidt plate solution, i.e., one using a low-order polynomial fit. The tests were performed on a sample of the material used for the construction of the HST Guide Star Catalog. The residuals showed a typical correlation length of about 0.5 deg with associated local distortions of about 0.28 (average value across the plate). The performance and applicability of this technique for the determination of absolute proper motions and under different conditions encountered in practice are discussed.

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