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Theses

Contribution a l'etude du controle en temps minimal des transferts orbitaux

Abstract : The context of this work is celestial mechanics. More precisely, in the framework of a collaboration with the French Space Agency, we have dealt with the orbit transfer problem. We study the minimum time control of a satellite that we want to reach a geostationnary orbit. The contributions of this thesis are of three kinds. Geometric, first, since we study the controllability of the system together with the geometry of the transfer (structure of the command) by means of geometric control tools. Then we present spectral and pseudo-spectral resolution methods, based on Chebyshev polynomials, as well as algorithms relying upon a wavelet-adaptive discretization. These approaches allow the numerical resolution of problems with strong or medium thrust satellites. In order to reach low thrusts, typical of the future electro-ionic propulsion, we finally need to introduce new techniques, namely parametric ones (parameterization by the thrust or by the criterion). The analysis of their properties is performed thanks to parametric control results.
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https://tel.archives-ouvertes.fr/tel-00001182
Contributor : Jean-Baptiste Caillau <>
Submitted on : Friday, March 1, 2002 - 8:12:48 PM
Last modification on : Thursday, March 26, 2020 - 7:24:34 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 5:00:49 PM

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Jean-Baptiste Caillau. Contribution a l'etude du controle en temps minimal des transferts orbitaux. Mathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2000. Français. ⟨tel-00001182⟩

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