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Homotopy method for minimum consumption orbit transfer problem

Published online by Cambridge University Press:  22 March 2006

Joseph Gergaud  and
Thomas Haberkorn
Joseph Gergaud
Affiliation:
ENSEEIHT–IRIT, CNRS–UMR 5505, 2 rue Camichel, BP 7122, 31071 Toulouse Cedex 7, France; [email protected]
Thomas Haberkorn
Affiliation:
Mathematics Department, 2565 Mc Carthy Mall, Honolulu HI, 96822, USA; [email protected]
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Abstract

The numerical resolution of the low thrust orbital transfer problem around the Earth with the maximization of the final mass or minimization of the consumption is investigated. This problem is difficult to solve by shooting method because the optimal control is discontinuous and a homotopic method is proposed to deal with these difficulties for which convergence properties are established. For a thrust of 0.1 Newton and a final time 50% greater than the minimum one, we obtain 1786 switching times.

Keywords

Orbital transferoptimal control problemshooting methoddifferential homotopypredictor-corrector method.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 12 , Issue 2 , April 2006 , pp. 294 - 310
Copyright
© EDP Sciences, SMAI, 2006

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