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Pré-Publication, Document De Travail Année : 2011

Minimum time control of the restricted three-body problem

Résumé

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 the masses, and the magnitude of the control.
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Dates et versions

hal-00599216 , version 1 (08-06-2011)
hal-00599216 , version 2 (05-08-2011)
hal-00599216 , version 3 (28-09-2011)
hal-00599216 , version 4 (10-04-2012)

Identifiants

  • HAL Id : hal-00599216 , version 3

Citer

Jean-Baptiste Caillau, Bilel Daoud. Minimum time control of the restricted three-body problem. 2011. ⟨hal-00599216v3⟩
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