Lunar perturbation of the metric associated to the averaged orbital transfer

Jérémy Rouot (1, 2) , Bernard Bonnard (2, 1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 McTAO - Mathematics for Control, Transport and Applications

In a series of previous article we introduced a Riemannian metric associated to the energy minimizing orbital transfer with low propulsion. The aim of this article is to study the deformation of this metric due to the perturbation caused by the lunar attraction. Using Hamiltonian formalism, we describe the effects of the perturbations on the orbital transfers and the deformation of the conjugate and cut loci of the original metric.

Domaines: Optimisation et contrôle [math.OC]

Jérémy Rouot, Bernard Bonnard. Lunar perturbation of the metric associated to the averaged orbital transfer. Variational methods in Imaging and geometric control, Nov 2014, Linz, Austria. ⟨hal-02483370⟩