The Analysis of Trajectory Sensibility in Restricted Three-Body Problem
In the context of circular restricted three-body problem, the trajectory sensibility to disturbances of different kind, different magnitude, and dif:ferent direction were analyzed. Firstly, a method based on eigenvalues of state transition matrix was improved to gain computational efficiency. Secondly, a method based on distance in configuration space is proposed to calculate trajectory local stability in detail, with this method, the maximum unstable direction of any point on the trajectory can be decided. As an example, the trajectory sensibility of Earth-Moon L1 point Lyapunov orbit was calculated and discussed in detaiL Finally, this method was extended to calculate the sensibility of a non periodical trajectory, the result was presented. Information gained from the trajectory sensibility analysis can be used to guide the measurement and navigation process in actual space missions.
Circular restricted three-body problem computer simulation trajectory sensibility Lyapunov orbit state transition matrix
Han-qing ZHANG Xian, China Yan-jun LI
College of AstronauticsNorthwestem Polytechnical University College of Astronautics Northwestem Polytechnical University Xian, China
国际会议
昆明
英文
53-57
2010-10-17（万方平台首次上网日期，不代表论文的发表时间）