The Analysis of Trajectory Sensibility in Restricted Three-Body Problem

摘要

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.