近地球赤道面轨道上磁性刚体卫星的混沌运动

摘要

讨论地球磁场中非自旋磁性刚体卫星在近赤道平面圆轨道上平面天平动的混沌问题.利用Melnikov方法预测出现混沌的可能性并数值验证混沌的存在性.研究表明地球磁场的周期扰动能引起卫星的混沌运动,扰动增大则混沌加强.%The chaotic planar motion of a magnetic rigidsatellite in a circular orbit near the equatorial plane of the earth isinvestigated in the present paper. The existence of chaotic motion ofthe satellite is predicted by using Melnikov's method and verified bynumerical computation in conjunction with the Poincar'e map. It isshown that the periodic disturbance of the magnetic field of the earthcan cause chaotic motion of the satellite and the increase of thedisturbance can intensify the chaotic motion.