Functional analysis applications to the study of the optimal transfer

Details Functional analysis applications to the study of the optimal transfer Functional analysis applications to the study of the optimal transfer

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mala.iafcr....p&link_type=abstract

IAF, International Astronautical Congress, 40th, Malaga, Spain, Oct. 7-13, 1989. 6 p.

Mathematics

Functional Analysis

Earth-Moon System, Spacecraft Trajectories, Trajectory Optimization, Transfer Orbits, Banach Space, Command And Control, Lagrangian Equilibrium Points, Libration

Scientific paper

A functional analysis study is presented for the transfer problem of the motion along the earth and the moon orbits of a space vehicle acted upon by a small-traction propulsion force, starting at the collinear libration points of the earth-moon system. It is shown that the imposed transfer is realized by the existing piecewise constant controls. The trajectory of the space vehicle motion and the velocity variation along the optimal trajectory are obtained. A numerical application is presented.

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