宇航学报 ›› 2019, Vol. 40 ›› Issue (8): 897-907.doi: 10.3873/j.issn.1000-1328.2019.08.006

• 飞行器设计与力学 • 上一篇    下一篇

系统参数对电动力绳系动力学的影响

杨育伟,蔡洪   

  1. 国防科技大学空天科学学院,长沙 410073
  • 收稿日期:2018-10-23 修回日期:2019-01-15 出版日期:2019-08-15 发布日期:2019-08-25

Effect of System Parameters on Dynamics of an Electrodynamic Tether System

YANG Yu wei, CAI Hong   

  1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • Received:2018-10-23 Revised:2019-01-15 Online:2019-08-15 Published:2019-08-25

摘要:

将电动力绳系(EDT)的主星质量、子星质量、绳系质量以及绳系中的电流视为系统参数,研究这些参数对系统的摆动动力学和轨道动力学的影响。哑铃模型下的电动力绳系摆动动力学方程存在不稳定的周期解,通过Floquet理论来衡量周期解的不稳定程度,从而研究各系统参数对摆动动力学的影响。建立了用春分点轨道元素的形式描述的电动力绳系轨道动力学方程,并以降轨时间来衡量电动力绳系的降轨效率,从而研究系统参数对轨道动力学的影响。运用算例对周期解迁移矩阵的特征值、降轨时间随各系统参数的变化关系进行了仿真,分别得出了各系统参数对系统摆动动力学和轨道动力学的影响。综合本文的仿真结果,并考虑实际发射及空间运行中的其它因素,对电动力绳系的设计和降轨策略提出了建议。

关键词: 电动力绳系(EDT), 系统参数, 摆动动力学, 轨道动力学

Abstract:

 The mass of the main satellite, the sub-satellite, and the tether and the current in the tether for an electrodynamic tether (EDT) system are regarded as the system parameters. The purpose of this paper is to investigate the effects of these parameters on the libration dynamics and orbital dynamics. The unstable periodic solution exists for the libration dynamic equation which is based on the dumbbell model. According to the Floquet theory, the instability of the periodic solution is used to investigate the effects of the system parameters on the libration dynamics. The orbital dynamic equation is given in the form of the equinox orbital elements. The orbital altitude of the perigee obviously decreases when the system running in orbit. The deorbit time is used to measure the efficiency of the EDT to investigate the effects of the system parameters on the orbital dynamics. The functions of the moduli of the eigenvalues of the monodromy matrix and the deorbit time with the system parameters are simulated by the numerical examples, respectively. The effects of every system parameter on the libration and orbital dynamics are obtained. Synthesizing the simulation results and considering the launch cost and other factors in the actual running, the suggestions on the design of the system parameters and the strategy of deorbit are given.

Key words:  Electrodynamic tether system (EDT), System parameter, Libration dynamics, Orbital dynamics

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