Existence and stability of periodic pendulum motions of a satellite.

Mathematics

Scientific paper

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Satellites: Motions

Scientific paper

The problem of satellite motion about its center of mass is considered,
the problem reducing to study of the motion of a mathematical pendulum
under the action of a small periodic perturbation of general form.
Conditions for existence and stability of periodic Poincare solutions
are obtained in a strict nonlinear formulation.

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