地月三体问题下L1-地球低能转移轨道设计

张汉清, 李言俊

西北工业大学航天学院



摘要:

针对地月拉格朗日L1点流形无法到达地球附近的问题,介绍了基于扰动流形的L1-地球转移轨道设计方法,首先构造了扰动流形的参数化形式,通过搜索四维参数空间,给出了多种经过数值优化的转移轨道,在总结数值仿真结果的基础上提出采用轨道角动量定性分析轨道转移机理的方法,明确了L1-地球转移轨道的设计应以降低轨道角动量为目标,克服了以往优化方法搜索的盲目性,揭示了转移轨道所依据的动力学特征,最后给出了基于轨道转移机理设计的低能转移轨道,证明了该方法的有效性.

关键词:  圆型限制性三体问题  拉格朗日点  转移轨道  扰动流形

DOI：10.11918/j.issn.0367-6234.2011.05.017

分类号:V412.41

基金项目:国家自然科学基金资助项目(60575013);航天支撑基金资助项目(N7CH0009);高等学校博士学科点专项科研基金资助项目(20060699024)



Design of L1-Earth low energy transfer trajectory in earth-moon three-body problem

ZHANG Han-qing, LI Yan-jun

College of Astronautics,Northwestern Polytechnical University,710072 Xi′an,China

Abstract:

To deal with the problem that the stable/unstable manifolds of Earth-Moon Lagrange L1 point can not come close to earth,this paper first introduces the trajectory design method based on disturbance manifolds.The parameterized form of disturbance manifolds is constructed,and by searching through four dimensional parameter space,many numerically optimized transfer trajectories are obtained.Then based on the simulation data,a technique of using angular momentum to explain the transfer mechanism is proposed,which suggests that the design of L1-Earth transfer trajectory should aim at reducing angular momentum,and reveals the dynamics behind the transfer trajectories.Finally,an optimized L1-Earth low energy transfer trajectory is presented,that verifies the efficiency of this method.

Key words:  circular restricted three-body problem  lagrange point  transfer trajectory  disturbance manifolds