A study of the radial velocities and proper motions of FK4, N30, FK3, and GC stars using spherical functions

Astronomy and Astrophysics – Astronomy

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Galactic Rotation, Legendre Functions, Radial Velocity, Stellar Motions, Astronomical Catalogs, Astronomical Models, Velocity Distribution

Scientific paper

Radial velocity and proper motion representations are obtained for 512 stars in the form of expansions in spherical functions. The expansion coefficients are used to verify the criteria of the consistency of a standard kinematic model of the star velocity field with observation data (systems FK4, N30, FK3, and GC). It is shown that the Oort-Lindblad Galaxy rotation model does not provide an adequate description of the proper motions and radial velocities of the 512 FK4/FK4 Sup stars from the standpoint of differential rotation of the Galaxy. The results remain valid when Legendre-Fourier functions are substituted for the spherical functions.

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