基于TH方程的椭圆轨道交会偏差分析

研究了考虑闭环控制偏差的椭圆轨道交会问题。基于推导的状态转移矩阵,采用线性协方差分析方法对交会椭圆轨道目标过程的导航偏差和控制偏差进行了分析,建立了闭环控制状态偏差和协方差的递推模型,给出了一种改善交会制导精度的修正算法。通过蒙特卡洛打靶仿真对线性协方差分析结果进行了验证,结果表明,本文所提出的偏差分析方法和修正算法精度较高,可用于椭圆轨道交会问题的研究。

Elliptic Orbit Rendezvous Error Analysis Based on TH Equation

At assumption of two-body dynamics, a state transition matrix suited for referenced elliptic orbit with ran dora eccentricity in the time domain is derived based on TH （Tschauner-Hempel） equation. The key deviation fac tors of the homing phase of the elliptic orbit are analyzed. The relationships between the homing deviation, control deviation and aiming offset are obtained based on the state transition matrix. A modified algorithm to improve the homing precision of the rendezvous elliptic orbit is given. Monte Carlo simulation is performed by considering a kind of typical approaching trajectory. The result indicates that the state transition matrix proposed can be applied to the three-dimensional orbit problem and the modified algorithm effectively improves homing precision.