建立同步卫星精密星历表的最佳数值方法

简要介绍当前天体力学中常用的各种数值计算方法,结合同步卫星运动方程的特点和轨道解的性质,分析各种数值计算方法在同步卫星情况下使用的优劣,确定一次和分形式的Cowell方法是建立同步卫星精密星历表的最佳方法,最后通过有效的数值实验,给出不同精度要求下Cowell方法的最佳阶和相应的最大步长.

The Best Numerical Method for Making Precise Ephemris of Synchronous Satellite

In this paper, various numerical methods which have been applied in celestial mechanics are introduced. In view of the feature of the differential equation of synchronous satellite and it's orbit solution, the merits and demerits of various numerical methods in applying to synchronous satellite have been analysed, and the cowell method of the first summation operation is chosen as the best numerical method for making precise ephemeris of synchronous satellite. As a result of various tests of integrating the circuler orbit, the most efficient order and step size for cowell method corresponding to different error levels has been obtained.