交会椭圆轨道目标Hill制导误差分析

在交会椭圆轨道目标阶段,Hill制导受各种误差因素的影响。介绍了椭圆轨道目标Hill制导的误差因素,并着重研究了导航误差和控制误差对终端位置的影响,给出了误差的基本表达式。与交会圆轨道目标情况进行比较,分析了初始真近点角对导航误差引起的终端位置偏差的影响。在此基础上给出了一种修正算法,理论上证明了修正算法能显著提高终端位置的精度。通过Monte-Carlo方法的仿真结果表明,合理改变初始真近点角能减小导航误差引起的终端位置偏差,并且修正算法能更有效提高制导精度。

Error Analysis for Hill's Guidance in Rendezvousing a Target on Elliptical Orbit

In the phase of rendezvousing a target on elliptical orbit, the accuracy of Hill's guidance is concerned with several error factors. The error factors considered here are mainly navigation error and actuation error. Basic analytic formulas of error models are derived. Compared with the situation of rendezvousing a target on circular orbit, we analyzed the terminal position error by the navigation error influence of initial true anomaly. Then an improved method of Hill's guidance is designed. The improved algorithm can obviously enhance the terminal position accuracy. The simulation results by Monte-Carlo method show that logically changing initial true anomaly can decrease the terminal position error by the navigation error, and the improved method can further enhance the guidance accuracy.