椭圆轨道编队飞行相对动力学初始化条件  

Relative dynamics and initialization condition for formation flying in elliptical orbits

作　　者：方茹[1] 张世杰[2] 林晓辉[2] 曹喜滨[2] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]哈尔滨工业大学卫星技术研究所,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2006年第7期1028-1033,共6页Journal of Harbin Institute of Technology

基　　金：国家安全重大基础研究资助项目(5131201-4).

摘　　要：Hill方程在椭圆轨道编队设计中具有一定的局限性,为解决这一问题,将基于Hill方程的圆轨道编队设计方法推广应用于椭圆轨道编队设计中．将T-H方程表示为参考轨道真近点角的显函数形式,推导椭圆轨道编队相对运动的状态转移矩阵．利用椭圆轨道编队相对运动动力学方程有周期解的要求,讨论椭圆轨道编队周期性运动的一般性初始化条件．最后通过数学仿真表明理论推导的正确性．推导的初始化条件可用于椭圆轨道编队队形初始设计或相对运动误差估计．Hill equations have definite limitation in to solve this problem, the design method of satellite the design of satellite formation flying in elliptical orbits, formation flying in circular orbits based on Hill equation can be generalize and applied to the formation flying in elliptical orbits. T - H equation is expressed as the explicit function form of reference orbit true anomaly, and the state transition matrix of relative motion of satellite formation flying in elliptical orbits is derived. According to the requirement that relative dynamics equation of satellite formation flying in elliptical orbits has periodicity solution, the general initialization condition of periodicity motion that satellite formation flying in elliptical orbits is discussed. Finally, based on the theoretical resuits, some numerical simulations are carried out. The initialization condition derived can be applying in initial design of formation flying in elliptical orbits or relative motion error estimation.

关 键 词：编队飞行 椭圆轨道 相对运动 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]