Algorithms for stabilizing the motion of an electrodynamic tether system in the orbit of an Earth satellite are analyzed. The system under consideration consists of two small spacecraft and a tether connecting them. A tether system is designed to change its orbital parameters, using the interaction of a current-conducting tether with the Earth’s magnetic field. Several mathematical models are used to describe the movement of the system, with varying degrees of detail describing its movement. An algorithm for stabilizing the movement of the tether system in the vicinity of the local vertical is proposed. A feature of the considered algorithm, based on the feedback principle, is the stabilization of the bending vibrations of the tether from the action of the distributed load acting on the current-conducting tether in a magnetic field. It is shown that not taking into account the bending vibrations of the tether in the stabilization algorithms can lead not only to a deterioration in the quality of stabilization, but also to a loss of stability of the system motion (its transition to rotation).

中文翻译：

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电动系绳系统在地球附近轨道上运动的稳定性

分析了用于稳定地球卫星轨道上的电动系链系统运动的算法。所考虑的系统由两个小型航天器和一个连接它们的系绳组成。系绳系统旨在通过使用导电的系绳与地球磁场的相互作用来更改其轨道参数。几个数学模型用于描述系统的运动，不同程度的细节描述了系统的运动。提出了一种用于稳定系绳系统在局部垂直方向附近运动的算法。所考虑的算法基于反馈原理的一个特征是，由于分布负载在磁场中作用在导电性系链上的作用，从而使系链的弯曲振动稳定。