Expansion in trigonometric series of the coordinates of a star moving inside a heterogeneous stellar cluster

Statistics – Computation

Scientific paper

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Astronomical Coordinates, Star Clusters, Stellar Motions, Trigonometric Functions, Angular Velocity, Computational Astrophysics, Hill Method, Kinetic Energy

Scientific paper

The motion of a star inside a heterogeneous ellipsoidal, nearly
spherical cluster is studied. It is assumed to be rotating at a small
constant angular velocity. A formal solution in the vicinity of the
circular one is constructed in the form of purely trigonometric series.

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