On local optima in minimum time control of the restricted three-body problem

Jean-Baptiste Caillau (1, 2) , Ariadna Farrés (3)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 McTAO - Mathematics for Control, Transport and Applications
3 Departament de Matemàtica Aplicada i Anàlisi [Barcelona]

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.

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

Domaines: Optimisation et contrôle [math.OC]

Jean-Baptiste Caillau, Ariadna Farrés. On local optima in minimum time control of the restricted three-body problem. Bernard Bonnard; Monique Chyba. Recent Advances in Celestial and Space Mechanics, 23, Springer, pp.209 - 302, 2016, Mathematics for Industry, 978-3-319-27464-5. ⟨10.1007/978-3-319-27464-5⟩. ⟨hal-01260120⟩