The restricted problem of three bodies applied to a gyrostat

Physics

Scientific paper

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Classical Mechanics, Gyroscopic Stability, Gyrostabilizers, Satellite Rotation, Three Body Problem, Angular Velocity, Lagrange Coordinates, Libration, Steady State

Scientific paper

This paper is concerned with an extension of the classical restricted problem of three bodies when the smallest body is not considered to be a point mass. We assume that the smallest body consists of a solid hub and symetric rotors rotating at constant relative angular velocities. The mass center of the gyrostat satellite is presumed to occupy one of five librations points L1,

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