Control of an unstable periodic orbit

Computer Science

Scientific paper

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Lunar Gravitational Effects, Satellite Orbits, Satellite Perturbation, Computerized Simulation, Equations Of Motion, Fourier Analysis, Vector Analysis

Scientific paper

A Fourier representation of the perturbation effects of the Moon's eccentricity on a satellite in orbit about L3 was constructed and verified numerically. It was then incorporated in a modal control scheme for linear systems that are time periodic which was developed by Shelton. The feasibility of this modified control scheme was then verified by computer simulation by controlling the actual nonlinear motions of the satellite with the modified controller.

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