An optimization algorithm for the solution of the problem of spacecraft encounters

Details An optimization algorithm for the solution of the problem of spacecraft encounters An optimization algorithm for the solution of the problem of spacecraft encounters

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980kosis..18..343b&link_type=abstract

Kosmicheskie Issledovaniia, vol. 18, May-June 1980, p. 343-347. In Russian.

Physics

Optimal Control, Space Rendezvous, Spacecraft Maneuvers, Thrust Vector Control, Algorithms, Circular Orbits, Convergence, Earth Orbits, Maximum Principle

Scientific paper

The paper examines the space problem of encounters of spacecraft controlled by thrust vectors with an object in a passive flight in a circular orbit near the earth. The quasioptimal controls are determined by Pontriagin's principle (1976) using analytical maximization of Hamilton's function. The explicit optimal thrust vector control law for the spacecraft is determined by means of a synthesized algorithm solution of a two-point optimized problem based on the maximum principle and a method of a conjugate gradient. The proposed algorithm has a high degree of convergence, precise spacecraft guidance, and is not critical with respect to controlling effects; it can be used for a wide range of dynamic control problems.

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