Asymptotic behavior of time optimal orbital transfer for low thrust 2-body control system. (English) Zbl 1163.49308

Bombrun, Alex; Pomet, Jean-Baptiste

Discrete Contin. Dyn. Syst. 2007, Suppl., 122-129 (2007).

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

Keywords:

2-body control system; low thrust; time optimal problem; orbital transfer; averaging