Lunar and J2 perturbations of the metric associated to the averaged orbital transfer

Abstract : In a series of previous article [1,2], 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 standard perturbations in space mechanics, e.g. oblate spheroid shape of the Earth and 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.
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https://hal.inria.fr/hal-01090977
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Submitted on : Monday, December 22, 2014 - 2:06:09 PM
Last modification on : Thursday, August 23, 2018 - 12:34:02 PM
Long-term archiving on : Monday, March 23, 2015 - 7:21:25 PM

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  • HAL Id : hal-01090977, version 2

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Bernard Bonnard, Helen Henninger, Jérémy Rouot. Lunar and J2 perturbations of the metric associated to the averaged orbital transfer. 2014. ⟨hal-01090977v2⟩

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