Multi-Step Control of Chaos in the Application of Earth-Moon Orbit Transfer

混沌多步控制在地月轨道转移中的应用

¹ School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China
² Shaanxi Aerospace Flight Vehicle Design Key Laboratory, Xi'an 710072, China

Received: 12 May 2017

Abstract

A multi-step control of chaos method is proposed in this paper to reduce the flight time in the chaotic region of Earth-Moon low-energy orbit transfer. According to the motion regularity and the fact that the chaos orbit is highly sensitive to the initial conditions in the circular restricted three-body system, the optimal perturbation of chaos control at each step is calculated by the adaptive particle swarm optimization algorithm, and then the low-energy earth-moon orbit transfer trajectory is obtained. This proposed method can efficiently construct the Earth-Moon low-energy orbit transfer trajectory without the relying on the periodic orbits and the requirement of random search, and the corresponding flight time in chaotic motion can be significantly reduced. Finally, numerical simulations are provided to demonstrate the correctness and efficiency of this proposed method.

摘要

为了减少低能地月轨道转移时航天器在混沌区域的滑行时间，提出一种混沌多步控制方法。利用地月圆形限制性三体问题下航天器轨迹的运行规律和混沌轨道对初始状态高度敏感的特性，通过自适应粒子群优化算法计算出混沌控制每一步的最优扰动，进而实施多步控制实现地月低能轨道转移。该方法不需要依靠周期轨道和随机大量搜索，能够有效地实现地月低能轨道转移，并在耗费能量很小的前提下显著地缩短航天器在混沌区域的滑行时间。最后，数值仿真结果验证了所提出算法的正确性和有效性。