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Geometric optimal control of elliptic Keplerian orbits

Abstract : This article deals with the transfer of a satellite between Keplerian orbits. We study the controllability properties of the system and make a preliminary analysis of the time optimal control using the maximum principle. Second order sufficient conditions are also given. Finally, the time optimal trajectory to transfer the system from an initial low orbit with large eccentricity to a terminal geostationary orbit is obtained numerically.
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Contributor : Emmanuel Trélat <>
Submitted on : Tuesday, July 18, 2006 - 6:28:57 PM
Last modification on : Wednesday, September 16, 2020 - 4:05:07 PM
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  • HAL Id : hal-00086345, version 1


Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric optimal control of elliptic Keplerian orbits. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2005, Series B, 5 (4), pp.929--956. ⟨hal-00086345⟩



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