临近圆轨道最优脉冲交会中的参考系选择问题研究

利用极坐标下的无量纲化线性方程研究临近圆轨道最优脉冲交会中的参考系选择问题。首先给出了无量纲化线性方程,接着以定理的形式说明参考系的选择对该方程下的最优交会模式的分类和分布没有影响,并以二脉冲最优交会及二脉冲带漂移最优交会、Hohm-ann最优交会三种交会模式为例说明不同参考系的选择对各自模式下的求解过程也没有影响。但是在无量纲化过程中交会时间和轨道半径差受参考系选择的影响,所以参考系的选择会影响最优交会的结果,最后通过三种最优交会模式的仿真对此结论进行了验证。

Selection of Reference Systems for Optimal Impulsive Rendezvous Between Two Near Circular Orbits

First,the dimensionless linear equations were introduced.Then it was proved that the selection of reference systems had no influence on the categories of optimal impulsive rendezvous.By using three examples including two-impulse optimal rendezvous,two-impulse with coast optimal rendezvous and Hohmann optimal rendezvous,it was demonstrated that the choice of reference systems had no effect on the process of solving the corresponding optimal rendezvous model.Finally,analysis and simulation show that the selection of reference systems does affect the final results of the optimal rendezvous.