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

Alex Bombrun; Jean-Baptiste Pomet

doi:10.3934/proc.2007.2007.122

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2007, Volume 2007: 122-129. Doi: 10.3934/proc.2007.2007.122 open access

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

Alex Bombrun¹ and
Jean-Baptiste Pomet^1,

1.
INRIA Sophia, 2004 route des lucioles, BP 93, 06902, Sophia Antipolis

Received: September 2006

Revised: February 2007

Published: September 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 49M99, 93C10; Secondary: 70F99.

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