拉格朗日/高斯无奇点卫星运动方程推导与分析

摘要

针对卫星轨道理论中的奇点问题,对拉格朗日/高斯无奇点卫星运动方程做了深入的分析和探索,从原始拉格朗日和高斯运动方程及其物理意义出发,考虑圆轨道、圆赤道轨道和赤道轨道3种奇点情况,推导了一种新的拉格朗日/高斯无奇点卫星运动方程,并探讨了方程的连续性.该方程消除了零因子,解决了卫星运动方程的奇点问题.%Aiming at the singularity problem in satellite orbit theory,the singularity-free Lagrangian/Gaussian equations of motion is analyzed.Considering the original and physical meaning of the Lagrangian and Gaussian equations of motion,a new Lagrangian/Gaussian singularity-free disturbed equations of motion is proposed and then discussed in three cases:the circul ar orbit,equatorial orbit,circul ar and equatorial orbit.Besides,the continuity of these equations is explored.The proposed equations eliminate the zero factor and in this way the singularity problemin the orbital mechanics is solved.