Statistical analysis and separation of systematic errors in astrometric data

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Correction, Errors, Principal Components Analysis, Statistical Analysis, Astrolabes, Space Observations (From Earth), Stellar Color, Stellar Magnitude

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Scientific paper

Abstract

This study concerns the combined effects in temporal variation, magnitude, and color that are likely to affect the results of astrometric observations. A statistical analysis is performed on the Paris astrolabe data from two test periods each with a different instrumental set-up. The results are obtained using the approach described in (Bougeard 1987a, 1988f), with slight modifications. Initially, the systematic use of 'stepwise' regressions allows a selection of the most significant effects. Then, the separation of these effects is discussed statistical-correspondence analyses according to different parameters such as observational groups of stars, observers, and observational conditions. These effects prove to be very different from one group to another. It is demonstrated that the common use of a priori 'internal corrections' introduces perturbations. In the last section, a high color effect previously detected in one group is studied through Principal Component Analyses according to the stars forming the group, which highlights the effect of one 'atypical' star of the group, where 'atypical' is understood in the sense of (Bougeard 1988a). The statistical approach developed here may be extended, with minor appropriate modification, to other astrometric data.

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