A critical discussion on parametric and nonparametric regression methods applied to Hipparcos-FK5 residuals

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Catalogs, Reference Systems

Scientific paper

In this paper we present an analysis of the differences between the Hipparcos and FK5 catalogues. We study parametric and nonparametric methods with two main objectives: first, to determine whether or not there is a pure rotation between the two catalogues, and to decide which model best represents the residuals; second, to give a practical formulation to reduce positions between the two systems at any point on the celestial sphere.

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