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Coplanar control of a satellite around the Earth

Published online by Cambridge University Press:  15 August 2002

Jean-Baptiste Caillau  and
Joseph Noailles
Jean-Baptiste Caillau
Affiliation:
ENSEEIHT–IRIT, UMR 5505 du CNRS, 2 rue Camichel, 31071 Toulouse, France
Joseph Noailles
Affiliation:
ENSEEIHT–IRIT, UMR 5505 du CNRS, 2 rue Camichel, 31071 Toulouse, France
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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.

Keywords

Celestial mechanicsminimum time problemsgeometric controlparametric optimal control.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 239 - 258
Copyright
© EDP Sciences, SMAI, 2001

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