计入姿态的绳系卫星概周期振动  

Quasi-periodic oscillation of a tethered subsatellite with attitude

作　　者：王晓宇[1] 金栋平[1] 

机构地区：[1]南京航空航天大学振动工研究所,飞行器结构力学与控制教育部重点实验室,江苏南京210016

出　　处：《振动工程学报》2010年第4期361-365,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金(50875124);江苏省“333工程”计划资助项目

摘　　要：建立了计入子星姿态的绳系卫星系统非线性动力学模型,研究了状态保持阶段系统的动力学行为。因计入子星姿态运动,导致子星高频振动与系绳低频摆动耦合,使得面内绳系卫星系统成为快-慢时变的非线性振动系统。应用变量分离和多尺度方法,获得了绳系卫星系统在平衡位置附近的概周期运动。结果表明,计入子星姿态的面内绳系卫星系统表现为概周期振动。The dynamics of in-plane tethered subsatellite moving in a circular orbit during station-keeping phase is studied. An attitude motion of the subsatellite is taken into account in this study. The system established by means of Lagrange^s equa- tion shows that the motion of in-plane tethered satellite behave as a time-varying nonlinear oscillation, i.e. , there exist the coupled fast and slow motions related to the attitude of the subsatellite and the pitch motion of the tether in the case of small ratio of radius of subsatellite to tether length. In order to gain an understanding of the coupled fast and slow motions, a two variable perturbation method in conjunction with multiple scales of time is proposed to obtain the asymptotic analytical solutions. The analytical and numerical results show that the coupled fast and slow motions of in-plane tethered satellite system in a circular orbit would fall into a quasi-periodic oscillation.

关 键 词：绳系卫星 姿态 概周期振动 时-变系统 多尺度方法 

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] O322[理学—一般力学与力学基础]