6533b81ffe1ef96bd1278233

RESEARCH PRODUCT

Lunar perturbation of the metric associated to the averaged orbital transfer

Jérémy RouotBernard Bonnard

subject

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

description

International audience; 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.

https://hal.inria.fr/hal-02483370/document