基于不同天文标准计算地球引力对卫星轨道的影响

空间控制技术与应用 ›› 2009, Vol. 35 ›› Issue (2): 38-41.

基于不同天文标准计算地球引力对卫星轨道的影响

蒋方华，李俊峰，宝音贺西

清华大学航天航空学院，北京100084

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2009-04-25 发布日期:2009-04-25

Effect of Gravitational Perturbations on Satellite Orbit via Different Astronomy Standards

JIANG Fanghua, LI Junfeng, BAOYIN Hexi

School of Aerospace, Tsinghua University, Beijing 100084, China

Received:1900-01-01 Revised:1900-01-01 Online:2009-04-25 Published:2009-04-25

摘要/Abstract

摘要： 建立了一个考虑地球非球形引力摄动的卫星轨道摄动模型并用C++语言编写程序进行轨道计算，其积分器采用RKF7(8)。建模过程中，对岁差、章动等量的计算分别考虑了美国海军天文台1981年和2005年的两种天文标准。通过与STK对比，发现无论采用哪一种标准，轨道传播两天后的位置误差都不会超过分米量级，速度误差不会超过毫米每秒的量级。说明了建模和编程计算的合理性，以及采用新旧两种天文标准计算卫星轨道的差别甚小。

关键词: 地球非球形引力摄动, 岁差, 天文标准, 卫星轨道

Abstract: This paper first establishes a satellite orbit dynamics model perturbed by the Earth’s non-spherical gravity, and then develops a numerical orbit propagator programmed by C++ language, with the Runge-Kutta-Fehlberg 7(8) integrator. In this modeling process, the precession, nutation and some other astronomical quantities are considered through two standards released by U.S. Naval Observatory in 1981 and 2005, respectively. By comparing the simulation results with that of the professional software STK, it shows that the magnitudes of position vector differences between these two standards and STK are both not more than the decimeter level, and that of velocity vector differences are both not more than the level of millimeter per second. Therefore, the model and orbit propagator are both prove to be valid, and the difference of orbit propagation caused by referencing the old and new standards is slight.

Key words: non-spherical gravity, precession, astronomy standard, satellite orbit

中图分类号:

V412.4+1

蒋方华，李俊峰，宝音贺西. 基于不同天文标准计算地球引力对卫星轨道的影响[J]. 空间控制技术与应用, 2009, 35(2): 38-41.

JIANG Fanghua, LI Junfeng, BAOYIN Hexi. Effect of Gravitational Perturbations on Satellite Orbit via Different Astronomy Standards[J]. , 2009, 35(2): 38-41.