基于不变流形的一种节能轨道设计  

An Energy-Efficient Trajectory Design Based on Invariant Manifold

作　　者：李雪华[1] 和兴锁[1] 宋明[1] 田园[1] 

机构地区：[1]西北工业大学工程力学系,陕西西安710129

出　　处：《西北工业大学学报》2011年第3期390-393,共4页Journal of Northwestern Polytechnical University

摘　　要：基于圆型限制性三体问题的不变流形,研究了一种节能登月轨道的设计问题。首先在R ich-ardson给出的Halo轨道三阶近似解析解基础上,得出更精确的Halo轨道数值解。将系统沿Halo轨道线性化,根据相关理论求得Halo轨道附近的不变流形。随机选取Halo轨道上一点,根据该点附近的不变流形特性给出了具体的节能登月轨道设计方案。通过算例仿真,证明该方法比Hohmann变轨登月轨道要节省能量。Making use of the invariant manifold of the circular restricted three-body problem, we investigated an energy-efficient trajectory design for moon exploration. A more accurate numerical solution of the Halo orbit is obtained on the basis of the third order approximate analytical solution given by Richardson. According to the linearization theory and the theory related to manifold, the invariant manifold around the Halo orbit is evaluated. Depending on the nature of the invariant manifold around any point on the Halo orbit, we give a specific design scheme for the energy-efficient trajectory. The simulation results show that the proposed method can save some energy compared with the traditional Hohmann transfer trajectory.

关 键 词：限制性三体问题 共线平动点 HALO轨道 不变流形 节能轨道 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]