Geodesic
Coplanar control of a satellite around the earth
ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 239-258

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We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

On s'intéresse au transfert en temps minimal d'un satellite autour de la Terre. Sur la base d'une modélisation contrôle optimal, on étudie la controlabilité du système et on propose une analyse de la structure de la commande optimale. En outre, afin de procéder à la résolution numérique du problème, une nouvelle méthode paramétrique dont on établit des propriétés de convergence est définie.

Classification : 70Q05, 49M30, 93B29
Keywords: celestial mechanics, minimum time problems, geometric control, parametric optimal control 
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     author = {Caillau, Jean-Baptiste and Noailles, Joseph},
     title = {Coplanar control of a satellite around the earth},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {239--258},
     publisher = {EDP-Sciences},
     volume = {6},
     year = {2001},
     mrnumber = {1816074},
     zbl = {1036.70014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__239_0/}
}
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Caillau, Jean-Baptiste; Noailles, Joseph. Coplanar control of a satellite around the earth. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 239-258. http://geodesic.mathdoc.fr/item/COCV_2001__6__239_0/