摘要
基于岁差章动和极移的理论模型,以及卫星受摄运动的高斯方程,本文研究了岁差章动和极移对开普勒轨道根数的影响.除了定性分析的理论推导外,本文还根据定性理论公式给出了定量的计算分析,从而获得了卫星轨道解析理论中处理岁差章动极移所需要的理论依据.岁差章动对开普勒轨道根数的影响是比摄动力低一阶的,极移的影响是低二阶的.因此对于一阶轨道解析理论,岁差章动和极移的影响全部是二阶的从而可以忽略不计.对于卫星轨道二阶解析理论,仅一阶摄动力需要考虑岁差章动的影响,其余可以全部忽略不计.由于只有地球扁率摄动是一阶的,所以只有地球扁率摄动J2项需要考虑岁差章动的影响.在定轨时间段小于三天时,岁差章动在这期间的变化量是二阶,所以可以把岁差章动的影响看成是不变的.本文结论对解析定轨具有指导意义.
Based on theoretical models of Precession,Nutation and Polar Motion(PNPM),as well as perturbed Gaussian equation of satellite motion,the influences of the PNPM on the Keplerian elements are studied.Theoretical derivation and analysis as well as numerical computations are carried out.The numerical results give the conclusion how to deal with the influence of PNPM on the Keplerian elements.The influence of the precession and nutation is one order lower than that of the disturbing force vector,and that of the polar motion is two order lower.Therefore,for the first order analytical orbit solution,the influences of PNPM are all the second order ones and therefore can be neglected.For the second order analytical orbit solution,only the first order disturbance needs to take the influence of the precession and nutation into account.Because only the Earth’s oblateness is the first order disturbance,only for J2 disturbance the influence of precession and nutation have to be taken into account.For orbits determination within a time span of less than three days,the variation of the precession and nutation is of the second order,therefore the influence of precession and nutation can be considered unchanged.The conclusion is guidance for analytic orbit determination.
作者
张方照
许国昌
Jean-Pierre Barriot
ZHANG Fang-zhao;XU Guo-chang;Jean-Pierre Barriot(Geodesy Observatory of Tahiti,University of French Polynesia,Faa’a 98702,French;Institute of Space Sciences,Shandong University,Weihai 264209,China)
出处
《地球物理学进展》
CSCD
北大核心
2019年第6期2205-2211,共7页
Progress in Geophysics
基金
国家自然科学基金面上项目(41574025)资助
关键词
岁差
章动
极移
高斯摄动方程
开普勒轨道根数
Precession
Nutation
Polar motion
Gaussian perturbed equations of motion
Kepler orbit elements
