论文部分内容阅读
考虑到绳系卫星系统主星姿态的作用,研究状态保持阶段绳系卫星系统的非线性动力学。首先建立含姿态的绳系卫星姿-仰耦合两自由度非线性动力学模型,通过摄动法解析地获得系统的周期运动,利用Floquet理论分析轨道偏心率对该周期运动稳定性的影响。然后,通过与姿态有关的两个系统参数,对绳系卫星系统周期运动的分岔进行了数值仿真。结果表明,姿态和俯仰运动耦合导致绳系卫星系统产生多个概周期运动并存的复杂动力学行为以及混沌运动。最后,为将混沌运动引导到某个稳定的周期运动上,提出利用线性速度反馈的镇定策略。
Considering the role of host star attitude of the tethered satellite system, the nonlinear dynamics of the tethered satellite system is studied. Firstly, a two-degree-of-freedom nonlinear dynamics model with attitude-attitude coupling is established, and the periodic motion of the system is analytically obtained by perturbation method. The influence of orbital eccentricity on the motion stability is analyzed by Floquet theory. Then, the bifurcation of periodic motion of satellite system is numerically simulated by two attitude parameters. The results show that the coupling of attitude and pitch motions leads to the complicated dynamic behaviors and the chaotic motions of the tethered satellite system. Finally, in order to guide the chaotic motion to a stable periodic motion, a stabilization strategy using linear velocity feedback is proposed.