Functional analysis methods in the study of the optimal transfer

Details Functional analysis methods in the study of the optimal transfer Functional analysis methods in the study of the optimal transfer

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jgcd...13..374p&link_type=abstract

Journal of Guidance, Control, and Dynamics (ISSN 0731-5090), vol. 13, Mar.-Apr. 1990, p. 374-376.

Mathematics

Functional Analysis

Earth-Moon System, Functional Analysis, Optimal Control, Orbital Mechanics, Transfer Orbits, Banach Space, Equations Of Motion, Libration, Thrust, Trajectory Optimization, Vacuum

Scientific paper

The motion along the earth and lunar orbits of a space vehicle employing low thrust is presently analyzed, starting at the collinear libration points. This functional analysis reveals the existence of piecewise constant controls; the calculation of these controls' effects indicates a range of values for the command vector which, in the case of fuel durations greater than 100,000 sec, is consistent with the hypothesis of small thrust.

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