Coplanar control of a satellite around the Earth

Abstract. 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. Resume. On s’interesse au transfert en temps minimal d’un satellite autour de la Terre. Sur la base d’une modelisation contrôle optimal, on etudie la controlabilite du systeme et on propose une analyse de la structure de la commande optimale. En outre, an de proceder a la resolution numerique du probleme, une nouvelle methode parametrique dont on etablit des proprietes de convergence est denie. Mathematics Subject Classication. 70Q05, 49M30, 93B29