一类椭圆轨道交会中的动力学方程研究

研究了一类追踪器和目标器轨道半长轴相差不大、轨道面外的距离相差不大的小偏心率椭圆交会的动力学问题.首先选择合适的圆轨道上的点建立参考系,推导出针对圆轨道参考系的无量纲化线性定常方程,并获得相应的相对状态;接着讨论该方程在小偏心椭圆轨道两冲量交会中的应用;最后进行数值仿真,验证动力学方程和制导策略,并与CW方程及制导策略的相关仿真进行比较.仿真结果表明本文给出的动力学方程的精度优于CW方程,能有效解决这类椭圆交会问题.

Dynamical Equations for a Kind of Elliptic Orbit Rendezvous

The dynamical equations for a kind of elliptic orbit rendezvous are presented.The differences of the semi major axes and inclinations between the chaser spacecraft and the target spacecraft are small,and their eccentricities are small too.With the reference frame built on a suitable circular orbit,dimensionless and linear time-invariant dynamical equations are deduced,and the relative states are obtained.Then,the dynamical equations are applied to two-impulse elliptic orbit rendezvous.Simulations for testing the equations and guidance laws are carried out,and the results are compared with that of CW equations and corresponding guidance laws.The simulation results show that the precisions of these new dynamical equations are better than that of CW equations,and can solve such kind elliptic orbit rendezvous problems.