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中文摘要：
讨论了利用电动力缆绳使近地轨道上废弃卫星离轨的基本原理及优点,通过分析电动力缆绳的受力和运动方式,建立电动力缆绳系统的绳索模型,利用虚功原理推导出电动力缆绳自由振动的二维偏微分方程,使用有限差分法离散电动力缆绳振动方程并求其数值解,并用Matlab编写程序进行数值仿真。仿真表明：该文建立的绳索2D动力学模型可以大致反映出电动力缆绳在离轨过程中的振动特性,横向振动的幅值远大于纵向振动的幅值,电动力缆绳的主要振动形式是横向振动。
英文摘要：
The basic principle and advantage of abandon satellites using an electro-dynamic tether deorbiting system were discussed. The cable model of an electro-dynamic tether system was presented through analyzing the force and moving way of the electro-dynamic tether in Low Earth Orbit （LEO）. The virtual work-energy functional was used to obtain the free vibration equations of 2D motion. Numerical solutions to the equations were obtained by using the finite difference method. The numerical solutions show that the 2D model can present the vibration character in deorbiting course, and the vertical response of the cable is far larger than the longitudinal response. Thusly, the vertical response is the main vibration way of an electro-dynamic tether.
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