交会对接近距离导引段的轨迹安全

Trajectory Safety for Close Range Guidance Phase of Rendezvous and Docking

建立了一套完整的交会对接近距离导引段轨迹安全的描述和计算方法,这种方法将交会对接近距离导引段的轨迹安全转化为追踪器相对位置误差的3σ椭球和目标器控制区域椭球的碰撞分析问题。描述了通过定义目标器的控制区域来提高交会对接安全性的基本思想,然后基于CW方程推导了相对状态和协方差矩阵的传播公式,并利用传播后的协方差矩阵推导了相对位置误差3σ椭球的表示公式。研究了任意两个椭球的接近分析问题,首先研究了点和椭球的最近距离计算问题,然后将这一结果应用到一个迭代过程来计算两个椭球之间的最近距离。最后,交会对接接近段的一个算例说明了本文所建立的轨迹安全计算方法的正确性。

A methodology for describing and calculating the trajectory safety in close range guidance phase of rendezvous and docking was developed.The methodology utilizes close approach analysis between 3σ ellipsoid and control zone ellipsoid of target vehicle to describe the trajectory safety of rendezvous and docking.The method of calculating 3σ ellipsoid and analyzing close approach between ellipsoids were discussed.The state and error covariance matrix were propagated based on CW equation,and 3σ ellipsoid was ca...