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Recent Advances in Celestial and Space MechanicsOn Local Optima in Minimum Time Control of the Restricted Three-Body Problem

Recent Advances in Celestial and Space Mechanics: On Local Optima in Minimum Time Control of the... [The structure of local minima for time minimization in the controlled three-body problem is studied. Several homotopies are systematically used to unfold the structure of these local minimizers, and the resulting singularity of the path associated with the value function is analyzed numerically.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Recent Advances in Celestial and Space MechanicsOn Local Optima in Minimum Time Control of the Restricted Three-Body Problem

Part of the Mathematics for Industry Book Series (volume 23)
Editors: Bonnard, Bernard; Chyba, Monique

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2016
ISBN
978-3-319-27462-1
Pages
209 –302
DOI
10.1007/978-3-319-27464-5_7
Publisher site
See Chapter on Publisher Site

Abstract

[The structure of local minima for time minimization in the controlled three-body problem is studied. Several homotopies are systematically used to unfold the structure of these local minimizers, and the resulting singularity of the path associated with the value function is analyzed numerically.]

Published: Mar 27, 2016

Keywords: Circular restricted three body problem; Optimal control; Shooting; Homotopy; Swallowtail singularity

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