Periodic motions of a three-axis gyrostatic satellite at a triangular libration point

Mathematics

Scientific paper

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Celestial Mechanics, Center Of Mass, Gyroscopes, Satellite Rotation, Spacecraft Motion, Equations Of Motion, Gravitational Effects, Libration, Transformations (Mathematics)

Scientific paper

Consideration is given to a problem in which the center of mass of a gyrostatic satellite M is located at the L4 triangular libration point of the gravitating bodies M sub 0 and M sub 1, which move with respect to a common center of mass in circular Keplerian orbits. The mass of M is considered to be negligibly small compared with the masses of M sub 0 and M sub 1, and the dimensions of M are considered to be negligibly small compared with the distance between M sub 0 and M sub 1. The periodic motions of the gryostat under the effect of the gravitational moments produced by M sub 0 and M sub 1 are analyzed on the basis of equations of rotational motion in dimensionless Andoyer variables.

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