Minimum time control of the restricted three-body problem

Jean-Baptiste Caillau (1) , Bilel Daoud (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Domaines: Optimisation et contrôle [math.OC]

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