普适变量法在深空探测器轨道设计中的应用

Application of Universal Variables to Designing Deep-Space Probe Orbit

给出了利用普适变量法来求解飞行时间 ,开普勒问题和高斯问题的计算方法 ,将这些方法用于深空探测器的轨道设计 ,针对不同要求提出了 3种改进设计的方法 ,对每种方法的适用范围进行了详细的分析。

We are the first in China to apply the recent universal variables concept to the orbit design of deep space probe. Firstly, the universal variables for computing the time of flight from one position to another of the two-body problem are introduced. The method can be used to solve the Keplerian problem and the Gauss problem. In orbit design, the initial value determined by Hohmann orbit is in general unsatisfactory. After much research, we propose the methods A, B and C that, after repeated use, can finally arrive at a satisfactory orbit design even though the initial value is not satisfactory. In this paper, we explain methods A, B and C in much detail and also discuss in some detail what each method can contribute to the final satisfactory orbit design. In this paper we also establish a computer program on designing deep space probe orbit. Finally we give a numerical example of orbit design of Mars probe that shows preliminarily the feasibility of our application of universal variables concept to designing deep space probe orbit.