一种面向限制性三体问题的轨道-姿态运动模态构建方法

Aiming at the research on the dynamics mechanism of strong nonlinear coupled orbit-attitude near the libration point and how to use dynamics characteristics to complete the relevant task operation,a method of constructing orbit-attitude motion modes based on Floquet theory is proposed,and the typical application examples of the modes are given. Firstly,the orbit-attitude state transition matrix is segmented on the basis of the periodic solution of the libration point. According to the eigenvalue characteristics of the segmented matrix,the orbit modes,the attitude modes and the orbit-attitude coupling modes constitute a complete orbit-attitude motion modes. Then,the modal characteristics are analyzed by phase space. Finally,the relative orbit-attitude motion analysis of the libration point,the orbit-attitude stability control of the libration point and the formation design of the orbit near the libration point are used as application scenarios. The numerical simulation results show the correctness of the proposed modes and their application value in the design and control of typical space missions.