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基于航天器相对运动的C-W方程及其解析解,研究了空间相对悬停的脉冲控制方法,给出了相对悬停脉冲控制量的计算方法,降低了对空间悬停任务航天器控制推进系统的要求,有利于工程实现。以两航天器相对轨道机动过程中的碰撞概率计算方法为基础,对相对悬停的轨迹安全风险进行了量化分析。数值仿真算例显示,本文方法可实现圆或近圆参考轨道上的空间相对悬停,且缩短悬停轨道机动周期,有利于悬停效果的提升。悬停相对运动过程中,悬停碰撞概率的极值点与两航天器相对距离的最小值几乎同时出现。
Based on the CW equations of relative motion of spacecraft and its analytical solution, the pulse control method of space relative hovering is studied. The calculation method of relative hover pulse control is given, which reduces the influence of space hovering mission spacecraft control propulsion system Requirements, is conducive to project realization. Based on the calculation method of collision probability during maneuvering of two spacecraft orbits, the trajectory safety risk of relative hovering was quantitatively analyzed. The numerical simulation shows that this method can achieve the relative hovering of the space on the reference track of the circular or near-circle and shorten the maneuvering period of the hovering track, which is in favor of the hovering effect. During the hovering relative movement, the minimum value of the relative hovering probability and the relative distance between the two spacecraft appear almost simultaneously.