On the optimal station keeping control of halo orbits

Computer Science – Numerical Analysis

Scientific paper

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Earth Orbits, Orbital Mechanics, Satellite Control, Stationkeeping, Circular Orbits, Matrices (Mathematics), Numerical Analysis, Optimal Control, Three Body Problem

Scientific paper

Halo orbits of the earth (Farquhar, 1970) and their stationkeeping control are investigated analytically in the framework of the restricted three-body problem, and numerical algorithms based on the results are demonstrated, summarizing the report of Gomez et al. (1985). The semianalytical approach employed is explained; the halo-orbit neighborhood is characterized; the control of halo orbits and the invariant manifolds is considered; an analytical solution of the control parameters is obtained; and the results of numerical simulations are presented graphically.

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