Optimal low-thrust transfer between neighbouring quasi-circular orbits around an oblate planet

Abstract

The problem of optimal low-thrust, limited power transfer between quasi-circular orbits (e {reversed tilde equals} 0) around an oblate planet is analysed. It is assumed that the orbital changes due to thrust acceleration and Earth oblateness are of the same order. A first order solution to the problem is obtained by application of Pontryagin's Maximum Principle. Subsequently, by application of Hori's method for generalized canonical systems, a first order solution in a small parameter ε{lunate} is derived. Finally, three particular cases of long-time transfer and the orbit maintenance manoeuvre are considered. The results obtained are in agreement and represent an extension of the work done by Marec. © 1989.