基于混沌控制和不变流形小推力推进地月转移轨道研究

项目名称： 基于混沌控制和不变流形小推力推进地月转移轨道研究

项目编号： No.11202163

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 泮斌峰

作者单位： 西北工业大学

项目金额： 26万元

中文摘要： 随着推进技术的发展，小推力发动机因其大比冲的优点，将成为未来月球探测器的重要推进手段。目前小推力推进最优地月转移轨道绝大多数是基于二体问题模型的拼接设计的，其主要原因是多体问题的复杂非线性特性尚未被完全认识。本项目基于不变流形和混沌控制等最新研究进展，充分利用依靠非线性动力学特性进行轨道转移能够有效地降低燃料消耗的特点，提出基于非线性动力学和最优控制理论来研究限制性三体问题模型小推力推进多次点火最优地月转移轨道设计思想，建立基于不变流形、混沌控制和直接多次点火转移的设计理论和算法，发展基于权衡空间方法的混沌控制targeting最优初始点的选择和评估技术，为我国未来大规模开展低能探月工程提供一些探索和建议。。

中文关键词： 小推力轨道设计；不变流形；混沌控制；限制性三体问题；同伦方法

英文摘要： Design of the optimal Earth-Moon transfer orbit empolying low-thrust engine as the main method of propelling will be one of the critical techniques for future lunar exploration, which will be a necessary requisition of economical and efficient lunar exploration. Presently, all the research about this area at home and abroad are mainly defined under two body problem, as the behavior of the n-body trajectories is not yet completely understood - they are in general governed by a chaotic regime. A novel method with nonlinear dynamics theory and optimal control theory merged and treated simultaneously is proposed to study the low-thrust optimal Earth-Moon orbital transfer, under the resticted three-body problem. The general algorithm is presented with invariant manifold and Chaos Control involved or not, and the optimization and evaluation algorithm of the initial point of targeting in chaotic region based on the trade space visualization is developed, thereby providing a novel scheme and suggestions for the future low energy extensive Earth-Moon Explorations.

英文关键词： Low-thrust trajectory design；Invariant manifolds；Chaos Control；Restricted Three-body Problem；Homotopy method