Two independent estimations for the ɛz values in the Hipparcos-FK5 catalogues

Astronomy and Astrophysics – Astronomy

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Hipparcos Catalogue, Fk5

Scientific paper

After the publication of the Hipparcos catalogue and its acceptation as the fundamental reference frame the questions of the homogenization of catalogues reemerged, because the IAU recommended that necessary studies should be arranged in order to obtain as thorough relationships as possible with the rest of catalogues. A first step to arrange the comparative study of two catalogues (in particular Hipparcos and FK5 which are the reference frames of the new and old reference system, respectively) is the application of a global rotation of one catalogue into the other. We employed two different models, including bias (GLAD model) or not (GL model) to obtain the infinitesimal rotations between the different catalogues (namely Hipparcos and other catalogue). They provide different ɛz values, which is an important problem to be solved. To this aim, we use two different verification methods based on nonparametrical adjustment employing kernel regression (KNP) and spherical harmonics of order n (SHn). These methods are independent of the previously employed (GL or GLAD) and they give us an idea of the true magnitude order of the parameter.

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