相对论摄动运动方程的解

Solution to the Perturbation Dynamical Equation of Relativity Theory

本文在考虑相对论效应的前提下,研究了地球形状对人造卫星运动的影响。用平均根数法求得了卫星的相对论摄动运动方程在地球形状摄动下的一阶长期摄动和一阶短周期摄动解,并将结果与非相对论摄动解进行了比较。

In this paper, presupposing relativistic effects, the author analyzes the influence of the form of the earth on the motion of the man-made satellite. Using the average factors method, the author obtains the first-order long term and the first-order short period perturbation solutions to the relativistic dy namical equation for the man-made satellites under the perturbation of the shape of the earth, and compares them with the perturbation solutions the results are in corresbondenee with the nonrelativistic perturbation solution