快速计算卫星球谐摄动和地球引力系数递推关系

Fast Computing the Spherical Harmonic Perturbation on Sattellites and the Recurrence Relations of the Coefficients of the Earth's Gravity

给出快速计算卫星球谐摄动和地球引力系数递推关系式的一个新方法 .这个方法计算速度比Cunningham及其它已有的方法快 ,而且甚至地球球谐阶、次扩展到 10 0× 10 0或更多时也不会出现溢出 .本法满足了SLR(卫星激光测距 )、GPS(全球定位系统 )及LLR(月球激光测距 )等高精度的应用 .把本法投入使用时 ,地球引力系数必须进行转换 .本文也给出了地球引力系数递推关系式 .本法已编成程序并投入实际应用 .对所有摄动计算 ,数值积分 144 0步用 486 / 6 6微机仅需 10s,用 5

A new method of fast computing the spherical harmonic perturbation on satellites and the recurrence relations of the coefficients of the Earth's gravity are given.The method increases the computation speed in comparison with Cunningham's method and other existing methods,and has no overflow in operation occurs even the order and degree of the Earth's spherical harmonic are extended to 100×100 or more.The method satisfies for the accurate application of the SLR (satellite laser ranging),GPS(globe positioning system)and LLR(lunar laser ranging).When the method put into use, the coefficients of the Earth's gravity must be transformed.The recurrence relations of the coefficients of the Earth's gravity have been given in this paper.This method has been programmed and used in practice.For all computations of perturbations,it needs only 10s in microcomputer 486/66 for 1440 steps of numerical integration,and its operation velocity is more fast for microcomputer 586.