Optimality of intermediate-thrust arcs in rotating potential force fields

Details Optimality of intermediate-thrust arcs in rotating potential force fields Optimality of intermediate-thrust arcs in rotating potential force fields

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..311t&link_type=abstract

Celestial Mechanics, vol. 21, Apr. 1980, p. 311-320.

Mathematics

Arcs, Potential Fields, Rocket Flight, Trajectory Optimization, Equations Of Motion, Matrices (Mathematics), Rotating Environments, Three Body Problem, Vector Analysis

Scientific paper

Optimality conditions for intermediate-thrust arcs (IT-arcs) of rocket trajectories in rotating potential force fields where Coriolis-forces have to be taken into account are derived. For coplanar problems, the existence of IT-arcs in optimal time-free transfers depends on inequality conditions, based mainly on properties of the local potential field. Therefore, the region of the potential force field, where no time-free optimal IT-arc exists, can easily be evaluated. As an example the restricted three-body problem will be considered.

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