圆参考轨道相对动力学方程的亚轨道周期解

Suborbital Periodic Solutions of the Relative Dynamic Equations in Circular Orbits

基于HCW方程的周期解,利用摄动法给出了圆参考轨道编队卫星相对动力学方程两阶的亚轨道周期通解,同时通过满足周期性约束条件给出了一个近似的通用的周期性编队的初始化条件。基于此一般性的初始化条件,文中分别修正了由HCW解给出的串行编队、空间圆编队和投影圆编队的初始化条件,并与能量匹配法进行了对比。最后通过仿真分析验证了该方法的有效性。

Based on the periodic solutions of HCW equations, the second - order suborbital periodic solu- tions of the relative dynamic equations are obtained for the satellites formation with a circular reference orbit by the perturbation approach and an initial condition for a periodic formation is approximately presented by satisfying the periodic constraint. In terms of the initial condition, the initial conditions derived from the solutions of HCW equations for the in - plane formation, circular formation and projected circular formation are corrected, and the conclusions are drawn with the comparison with the energy- matching method. The numerical simulations are included to demonstrate the effectiveness of the method.