计入姿态的绳系卫星概周期振动
王晓宇，金栋平
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一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.
关键词：绳系卫星；姿态；概周期振动；时-变系统；多尺度方法
Quasi-periodic oscillation of a tethered subsatellite with attitude
Xioayu Wang, Dongping Jin
Abstract：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 equation 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.
Keyword：tethered satellite system attitude quasi-periodic oscillation; time-varying system; multiple scales
原文链接：http://www.cnki.com.cn/Article/CJFDTotal-ZDGC201004002.htm
