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考虑重力场和磁场对轴对称航天器本体的影响,研究其质心在圆形轨道上的运动.通过降低系统的运动方程数,并将它变成为一个带电粒子在电磁场作用下的平面运动.确认系统运动是稳定的,并通过Liapunov全纯积分定理,构建其近似的周期运动.
Considering the influence of gravitational field and magnetic field on the body of an axisymmetric spacecraft, the centroid of the spacecraft is studied in a circular orbit by reducing the number of equations of motion of the system and transforming it into a planar motion of a charged particle under electromagnetic field. The system motion is confirmed to be stable, and its approximate periodic motion is constructed by the Liapunov holomorphic integral theorem.