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

Pages: 122 - 129, Issue Special, September 2007

 Abstract        Full Text (184.6K)              

Alex Bombrun - INRIA Sophia, 2004 route des lucioles, BP 93, 06902, Sophia Antipolis, France (email)
Jean-Baptiste Pomet - INRIA Sophia, 2004 route des lucioles, BP 93, 06902, Sophia Antipolis, France (email)

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.

Keywords:  2-body control system, Low thrust, Time optimal problem, Orbital transfer, Averaging.
Mathematics Subject Classification:  Primary: 49M99, 93C10; Secondary: 70F99.

Received: September 2006;      Revised: February 2007;      Published: September 2007.