航天器相对运动与Hill解的适用性分析

Analysis of Spacecraft Relative Motion and Applicability of Hill's Solution

研究了空间飞行器编队中最具基础性的问题之一 ,即相对运动的解析表达及 Hill方程的适用条件。通过建立相对运动的通解公式 ,针对不同性质的初值深入地分析了其相对运动轨迹的本质特征 ,并给出了 Hill方程的适用条件。此外 。

One of the most fundamental problems on spacecraft formation flying, i. e., the analytic solution of spacecraft relative motion and applicability of Hill's equation is proposed in detail. By using necessary geometry mapping, general expression is built up, and then the relative motions under different initial conditions are so comprehensively characterized that the applicability condition of Hill's approximation is obtained. Furthermore, a new simplified formula for formation design is provided in low elliptic orbits.