高轨卫星的月球引力摄动效应研究  

A study of the effect of lunar gravitational perturbation on high orbit satellites

作　　者：赵东方 张捍卫 ZHAO Dongfang;ZHANG Hanwei(School of Surveying and Land Information Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China;School of Resources and Environment,Henan Polytechnic University,Jiaozuo,Henan 454003,China)

机构地区：[1]河南理工大学测绘与国土信息学院,河南焦作454003 [2]河南理工大学资源与环境学院,河南焦作454003

出　　处：《导航定位学报》2021年第5期33-40,共8页Journal of Navigation and Positioning

基　　金：国家自然科学基金项目(42074002,41931075)。

摘　　要：在影响高轨卫星的各种因素中,第三体引力对卫星的影响仅次于地球中心引力和地球非球形引力。采用龙格-库特塔-费尔布尔格(RKF)单步法和12阶亚当斯(Adams)预估校正法,对距地心4万km左右的高轨卫星轨道进行积分,获取卫星的轨道根数;然后利用8阶滑动拉格朗日插值法,计算月球引力摄动加速度。计算结果表明,当地月连线向量与卫星轨道面的夹角为0时,月球引力对卫星加速度、轨道长半轴、轨道偏心率和轨道平近点角的影响最大;当地月连线向量与卫星轨道面的夹角为90°时,月球引力对轨道倾角的影响最大。Among the various factors affecting high orbit satellites, the influence of the third-body gravity on satellites is second only to the Earth’s central gravity and the Earth’s nonspherical gravity. This paper uses one-step integration called RungeKutta-Fehlbrg(RKF) and 12-order Adams forecasting-correcting formula to integrate the orbit of high earth orbit satellite about 40 000 km away from the Earth’s center, and gets orbital elements of the satellite. Then this paper uses 8-order sliding Lagrange interpolation method to get lunar gravitation perturbation acceleration. The results show that the influence of lunar gravity on the acceleration and orbital elements of the satellite changes regularly when the angle between the satellite orbital plane and the vector of the line between the Earth and the moon is different.

关 键 词：月球引力摄动 单步法 预估校正法 滑动拉格朗日插值法 轨道根数 

分 类 号：P228[天文地球—大地测量学与测量工程]