卫星轨道摄动频谱分析

本文基于Ｌｉｅ级数的方法对卫星轨道摄动进行了频谱分析。这种摄动是由地球引力场的所有带谱调和项和田谐调和项引起的。为了适用小偏心率轨道，采用了Ｈｉｌｌ变量来描述卫星轨道，并在所获得的谱分析式中保留了所有与偏心率ｅ无关的项。在这个基础上又经过简单的变换给出了卫星位置摄动三分量的谱分析式。

SPECTRAL ANALYSIS OF SATELLITE ORBIT PERTURBATION

In this paper an expression for the spectrum of satellite orbit perturbation,induced by all zonal and tesseral harmonics of the earth's gravitational field, is derived based on Lie series.In order to be suitable for low eccentric orbits Hill variables are usedto describle orbits and all terms not having eccentricity as a factor are included. Finally,the expression for the perturbation spectrum of three position components is also derived through a simple transformation.