Dynamic behavior of a electrodynamic tethered system operating in a circular inclined orbit was studied.The dynamic model of the system was described, the basic periodic solution was obtained using perturbation method and a new numerical method.The stability of the periodic solution was analyzed based on the stability criterion in the numerical algorithm and it was concluded that the system periodic motion is instable.Finally, two algorithms were compared with simulation.The results showed that the periodic solutions obtained with the two algorithms are the same basically when perturbation is smaller, but the periodic solutions obtained with perturbation method are distorted when perturbation is large, at this time the numerical algorithm is normally adopted; instability of the periodic solutions is also confirmed with the simulation results.%对运行在倾斜圆轨道上的电动力绳索系统的动力学特性进行了分析研究.首先建立了系统的动力学模型,分别采用摄动法及推广后的数值算法求得系统的基本周期解,并运用所给数值算法中的稳定性判据分析了周期解的稳定性,得出该系统周期运动不稳定的结论.最后进行仿真验证,结果表明在摄动量较小时,两种求解算法得到的周期解基本相同,但当摄动量较大时,摄动法求得的周期解发生了畸变,不理想此时通常借助数值算法加以求解;仿真结果同样证实了所得周期解的不稳定特性.
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