Minimum Time Control of the Restricted Three-Body Problem

The minimum time control of the circular restricted three-body problem is considered. Controllability is proved on an adequate submanifold. Singularities of the extremal flow are studied by means of a stratification of the switching surface. Properties of homotopy maps in optimal control are framed...

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Bibliographic Details
Published inSIAM journal on control and optimization Vol. 50; no. 6; pp. 3178 - 3202
Main Authors Caillau, J.-B., Daoud, B.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2012
Subjects
Dynamical systems
Equilibrium
Mathematics
Optimization and Control
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Summary:The minimum time control of the circular restricted three-body problem is considered. Controllability is proved on an adequate submanifold. Singularities of the extremal flow are studied by means of a stratification of the switching surface. Properties of homotopy maps in optimal control are framed in a simple case. The analysis is used to perform continuations on the two parameters of the problem: the ratio of masses and the magnitude of the control. [PUBLICATION ABSTRACT]
ISSN:0363-0129
1095-7138
DOI:10.1137/110847299