在重力场和磁场影响下自旋刚性航天器的周期运动

Periodic Motions of a Spinning Rigid Spacecraft Under the Influence of the Gravitional and Magnetic Fields

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.

The motion of a magnetized axisymmetric spacecraft about its center of mass in a circular orbit is considered, taldng the gravitational and magnetic effects of the central body into account. Equations of motion of the redueced system are transformed to equations of plane motion of a charged particle under the action of electric and magnetic fields. Stationary motions of the system were determined and periodic motions near them are connstmcted using the Liapounov theorem of the holomorphic integral.