Periodic motion is analyzed on nonlinear attitude motion of a multi-compound-tether satellite on elliptic orbits. The compound-tether satellite consists of multi-satellites connected through tether. An elliptic motion is obtained for the attitude motion when the eccentricity is small and the motion is linear. The motion turns to chaotic motion under the influence of the orbit eccentricity when the eccentricity increases to a certain value. The nonlinear attitude motion is studied through the method of nonlinear analysis including the Bifurcation, the Lyapunov exponents, the Poincare map and van del Pol plane. The relation between the initial conditions and the eccentricity is also studied analitically for the system.
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机译：在椭圆轨道上的多化合物卫星的非线性姿态运动上分析了周期性运动。化合物卫星由通过系绳连接的多卫星组成。当偏心率小时，获得椭圆运动的椭圆运动，并且运动是线性的。当偏心增加到一定的值时，运动在轨道偏心的影响下变为混沌运动。通过非线性分析方法研究了非线性姿态运动，包括分叉，Lyapunov指数，庞德地图和Van del Pol平面。初始条件与偏心率之间的关系也用于系统。
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