基于U变换的空间站交会调相非线性协方差分析方法

摘要

As for the long-time error propagation problem of the space station rendezvous phasing,a nonlinear covariance analysis method based on the unscented transformation (UTCAM)is presented.The strategy of rendezvous phasing and the computation method of orbit maneuver parameters is proposed,then the principles and flow of UTCAMare introduced.The comparison between UTCAMand the two methods of STK and the Monte-Carlo shows that the relative error of covariance analysis between those methods is under 1 .2%,and the computation consumption time is only 1/460 that of Monte-Carlo,so it can accomplish the propagation of mean and covariance rapidly and exactly for nonlinear systems.Finally,the error propagation of a 20-day rendezvous phasing of space station is conducted by using UTCAM,and the results are validated by the Monte-Carlo simulation.%针对空间站交会调相过程中的长时间偏差传播问题，提出一种基于U变换的协方差分析方法UTCAM。在给出空间站交会轨道调相策略和轨道机动参数计算方法后，对UTCAM的原理和流程进行了介绍，通过和STK以及Monte-Carlo的对比验证表明，UTCAM与该两种分析方法的协方差相对误差均在1．2％以内，且计算耗时仅为Monte-Carlo的1/460，可快速准确地实现非线性系统的均值和协方差预报。最后基于UTCAM对长达20天的空间站交会调相的偏差传播进行了分析，并采用Monte-Carlo仿真对其分析结果进行了验证，验证了该方法的有效性。