基于不同天文标准计算地球引力对卫星轨道的影响

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Runge-Kutta-Fehlberg7（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。

Effect of Gravitational Perturbations on Satellite Orbit via Different Astronomy Standards

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 t...