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2007, 2007(Special): 122-129. doi: 10.3934/proc.2007.2007.122

Asymptotic behavior of time optimal orbital transfer for low thrust 2-body control system

Alex Bombrun 1, and  Jean-Baptiste Pomet 1,

1. 

INRIA Sophia, 2004 route des lucioles, BP 93, 06902, Sophia Antipolis, France, France

Received  September 2006 Revised  February 2007 Published  September 2007

In the studies of low thrust time optimal orbital transfer it was conjectured that, when the thrust modulus tends to zero, the product of this modulus by the minimum transfer time admits a finite limit. The purpose of the present note is to better frame the nature of this asymptotic behavior and to prove this conjecture.
Keywords: 2-body control system, Low thrust, Orbital transfer, Time optimal problem, Averaging..
Mathematics Subject Classification: Primary: 49M99, 93C10; Secondary: 70F9.
Citation: Alex Bombrun, Jean-Baptiste Pomet. Asymptotic behavior of time optimal orbital transfer for low thrust 2-body control system. Conference Publications, 2007, 2007 (Special) : 122-129. doi: 10.3934/proc.2007.2007.122
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