A low-thrust transfer between the Earth-Moon and Sun-Earth systems based on invariant manifolds

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• 作者：Peng Zhang ; Junfeng Li ; Hexi Baoyin ; Geshi Tang
• 关键词：Halo orbits ; Invariant manifolds ; Low-energy ; Low-thrust ; Fuel-optimal transfer
• 刊名：Acta Astronautica
• 出版年：2013
• 出版时间：October-November, 2013
• 年：2013
• 卷：91
• 期：Complete
• 页码：77-88
• 全文大小：1037 K

文摘

A low-energy, low-thrust transfer between two halo orbits associated with two coupled three-body systems is studied in this paper. The transfer is composed of a ballistic departure, a ballistic insertion and a powered phase using low-thrust propulsion to connect these two trajectories. The ballistic departure and insertion are computed by constructing the unstable and stable invariant manifolds of the corresponding halo orbits, and a complete low-energy transfer based on the patched invariant manifolds is optimized using the particle swarm optimization (PSO) algorithm on the criterion of smallest velocity discontinuity and limited position discontinuity (less than 1 km). Then, the result is expropriated as the boundary conditions for the subsequent low-thrust trajectory design. The fuel-optimal problem is formulated using the calculus of variations and Pontryagin's Maximum Principle in a complete four-body dynamical environment. Then, a typical bang-bang control is derived and solved using the indirect method combined with a homotopic technique. The contributions of the present work mainly consist of two points. Firstly, the global search method proposed in this paper is simply handled using the PSO algorithm, a number of feasible solutions in a fairly wide range can be delivered without a priori or perfect knowledge of the transfers. Secondly, the indirect optimization method is used in the low-thrust trajectory design and the derivations of the first-order necessary conditions are simplified with a modified controlled, restricted four-body model.