Optimal control of the elements of a plane almost-circular orbit

Details Optimal control of the elements of a plane almost-circular orbit Optimal control of the elements of a plane almost-circular orbit

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983kosis..21...20a&link_type=abstract

Kosmicheskie Issledovaniia, vol. 21, Jan.-Feb. 1983, p. 20-26. In Russian.

Physics

Circular Orbits, Orbital Mechanics, Spacecraft Control, Thrust Vector Control, Time Optimal Control, Trajectory Optimization, Asymptotic Methods, Maximum Principle, Orbit Calculation, Two Body Problem

Scientific paper

Consideration is given to the time-optimal control of spacecraft motion in a plane almost-circular orbit by means of low-thrust engines. The appropriate thrust program is developed by combining necessary conditions of optimality in the form of the maximum principle and an asymptotic method of nonlinear mechanics (the averaging method). Particular attention is given to the two-point problem of time-optimal control, and time-optimal changes of the size, form, and orientation of the orbit are determined.

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