地球引力场对卫星有摄运动的一种计算方法

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A Calculation Method to the Perturbation of a Satellite Caused by the Gravitation Field of the Earth

Department of Physics, Xichang Teacher's College, Xichang, Sichuan 615022, P. R. China

摘要: 本文应用Delaunay变量,从理论力学的哈密顿方程出发,通过正则变换求解了地球引力摄动对卫星运动轨道的影响,导出卫星位置和速度随时间的变化关系.
- 地球引力场 /
- 哈密顿方程 /
- 摄动 /
- 正则变换
Abstract: In this paper, with the application of the Delauney variables, according to the Hamilton equations, the influence on the perturbation of a satellite exerted by the gravitational force of the earth through canonical transformation has been found out. As a resull, the equation about how the position and velocity of the satellite vary with time is deduced.
- gravitation field /
- Hamilton equation /
- perturbation /
- canonical transformation

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