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Optimality of intermediate-thrust arcs in rotating potential force fields

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Abstract

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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  1. Institut für Mechanik, Technische Hochschule Darmstadt, Darmstadt, FRG

    W. Teschner

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  1. W. Teschner
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Teschner, W. Optimality of intermediate-thrust arcs in rotating potential force fields. Celestial Mechanics 21, 311–320 (1980). https://doi.org/10.1007/BF01230228

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  • DOI: https://doi.org/10.1007/BF01230228

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