Representation of kinematic components in the proper motions of stars using spherical functions

Statistics – Computation

Scientific paper

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Computational Astrophysics, Kinematics, Stellar Motions, Galactic Rotation, Least Squares Method, Legendre Functions

Scientific paper

Analytical expressions describing the effect of sun motion, galaxy rotation, and precession corrections in the proper motions of stars are expanded into a series in spherical functions. Explicit expressions are obtained for the first 68 coefficients, and their physical meaning is clarified. Relations describing the behavior of the series expansion coefficients are established.

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