受摄椭圆轨道线性相对动力学方程及其运动有界性条件  

Linear Relative Dynamics equations and Bounded Motion Conditions in Perturbed Elliptic Orbits

作　　者：赵宇[1] 张洪华[1] 

机构地区：[1]北京控制工程研究所,北京100190

出　　处：《宇航学报》2008年第4期1182-1188,共7页Journal of Astronautics

摘　　要：由于卫星在轨运行要受到各种摄动(特别是J2项摄动)的影响,经典的TH方程并不适合描述椭圆轨道卫星编队的长期运行。基于轨道平根数,推导了考虑J2项一阶摄动的相对轨道动力学方程,给出其近似解,研究了相对运动的有界性条件,最后通过仿真试验验证了该方程。Because of the influence of various perturbations in the low earth orbit, especially J2 perturbation, the classic Tschauner-Hempel equation is not suitable for describing the dynamics of the long-time satellite formations in elliptic orbits. Based on the mean orbit elements, the dynamic equations of relative orbit motions which consider the first-order J2 perturbation were pre- sented in this paper. The approximate solutions of the equations were proposed, and the bounded conditions of relative motions were discussed. Simulation results demonstrated the effectiveness of the proposed method.

关 键 词：TH方程 摄动 编队飞行 轨道根数 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]