Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits

Bernard Bonnard 1, 2 Helen Henninger 1 Jana Nemcova 3 Jean-Baptiste Pomet 1
1 McTAO - Mathematics for Control, Transport and Applications
CRISAM - Inria Sophia Antipolis - Méditerranée
3 Department of Mathematics
Institute of Chemical Technology Prague - ICT Prague (CZECH REPUBLIC)
Abstract : The aim of this note is to compare the averaged optimal coplanar transfer towards circular orbits when the costs are the transfer time transfer and the energy consumption. While the energy case leads to analyze a 2D Riemannian metric using the standard tools of Riemannian geometry (curvature computations, geodesic convexity), the time minimal case is associated to a Finsler metric which is not smooth. Nevertheless a qualitative analysis of the geodesic flow is given in this article to describe the optimal transfers. In particular we prove geodesic convexity of the elliptic domain.
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Article dans une revue
Acta Applicandae Mathematicae, Springer Verlag, 2015, 135 (2), pp.47-80. <10.1007/s10440-014-9948-2>
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https://hal.inria.fr/hal-00918633
Contributeur : Jean-Baptiste Pomet <>
Soumis le : vendredi 21 août 2015 - 19:53:20
Dernière modification le : mercredi 4 mai 2016 - 01:06:07
Document(s) archivé(s) le : mercredi 26 avril 2017 - 10:16:53

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Bernard Bonnard, Helen Henninger, Jana Nemcova, Jean-Baptiste Pomet. Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits. Acta Applicandae Mathematicae, Springer Verlag, 2015, 135 (2), pp.47-80. <10.1007/s10440-014-9948-2>. <hal-00918633v6>

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