Analysis of modern astrometric catalogues in the Gaia era
V.S.Akhmetov, P.N.Fedorov, V.S.Tsvetkova, E.Yu.Bannikova

TL;DR
This study compares modern ground-based star proper motion catalogues with Gaia EDR3, analyzing systematic differences, and finds that the Gaia system is stable and closely aligned with extragalactic sources, while ground-based systems show varying degrees of systematic errors.
Contribution
It provides a detailed analysis of the systematic differences between Gaia EDR3 and ground-based proper motion catalogues, quantifying their mutual rotations and displacements.
Findings
Gaia EDR3 has negligible rotation relative to extragalactic sources.
Ground-based catalogues show systematic errors varying from 0.2 to 2.9 mas/yr.
PMA proper motions are closest to Gaia EDR3 among ground-based catalogues.
Abstract
We investigate of the systems of proper motions of stars in the ground-based catalogues HSOY, UCAC5, GPS1 and PMA derived by combining with the Gaia DR1 space data. Assuming the systematic differences of stellar proper motions of two catalogues to be caused by the mutual solid-body rotation and glide of the coordinate systems produced by the data of the catalogues under comparison, we analyse the components of the mutual rotation vector and displacement of the origins of these systems. The equatorial components of the vector of mutual rotation velocity of the compared coordinate systems, as well as velocities of the mutual displacement of their origins, varying within the range from 0.2 to 2.9 mas/yr, were derived from a comparison of proper motions of the sources that are common for Gaia EDR3 and the TGAS, UCAC5, HSOY, GPS1 and PMA catalogues, respectively. The systematic errors of…
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