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Asymptotic behavior of time optimal orbital transfer for low thrust 2-body control system. (English) Zbl 1163.49308
Summary: 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.
MSC:
49M99 Numerical methods in optimal control
93C10 Nonlinear systems in control theory
70F99 Dynamics of a system of particles, including celestial mechanics
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