Research on the transfers to Halo orbits from the view of invariant manifolds  

作　　者：XU Ming TAN Tian XU ShiJie 

机构地区：[1]Beijing University of Aeronautics andAstronautics,Beijing 100191,China [2]DFH Satellite Co.Ltd.,Beijing 100094,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第4期671-683,共13页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11172020);the "Vision" Foundation for the Talents from Ministry of Industry and Information Technology of China;the"BlueSky" Foundation for the Talents from Beijing University of Aeronautics and Astronautics

摘　　要：This paper discusses the evolutions of invariant manifolds of Halo orbits by low-thrust and lunar gravity. The possibility of applying all these manifolds in designing low-thrust transfer, and the presence of single-impulse trajectories under lunar gravity are also explained. The relationship between invafiant manifolds and the altitude of the perigee is investigated using a Poincare map. Six types of single-impulse transfer trajectories are then attained from the geometry of the invariant manifolds. The evolutions of controlled manifolds are surveyed by the gradient law of Jacobi energy, and the following conclusions are drawn. First, the low thrust （acceleration or deceleration） near the libration point is very inefficient that the spacecraft free-flies along the invariant manifolds. The purpose is to increase its velocity and avoid stagnation near the libration point. Second, all con- trolled manifolds are captured because they lie inside the boundary of Eatlh＇s gravity trap in the configuration space. The evo- lutions of invariant manifolds under lunar gravity are indicated from the relationship between the lunar phasic angle and the altitude of the perigee. Third and last, most of the manifolds have preserved their topologies in the circular restricted three-body problem. However, the altitudes of the perigee of few manifolds are quite non-continuous, which can be used to generate single-impulse flyby trajectories.This paper discusses the evolutions of invariant manifolds of Halo orbits by low-thrust and lunar gravity.The possibility of applying all these manifolds in designing low-thrust transfer,and the presence of single-impulse trajectories under lunar gravity are also explained.The relationship between invariant manifolds and the altitude of the perigee is investigated using a Poincaré map.Six types of single-impulse transfer trajectories are then attained from the geometry of the invariant manifolds.The evolutions of controlled manifolds are surveyed by the gradient law of Jacobi energy,and the following conclusions are drawn.First,the low thrust(acceleration or deceleration) near the libration point is very inefficient that the spacecraft free-flies along the invariant manifolds.The purpose is to increase its velocity and avoid stagnation near the libration point.Second,all controlled manifolds are captured because they lie inside the boundary of Earth's gravity trap in the configuration space.The evolutions of invariant manifolds under lunar gravity are indicated from the relationship between the lunar phasic angle and the altitude of the perigee.Third and last,most of the manifolds have preserved their topologies in the circular restricted three-body problem.However,the altitudes of the perigee of few manifolds are quite non-continuous,which can be used to generate single-impulse flyby trajectories.

关 键 词：libration point Halo orbit transfer trajectory invariant manifolds low thrust lunar perturbation 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] V412.41[自动化与计算机技术—控制科学与工程]