周期扰动下卫星运动系统的动力学性质

The Dynamics of the Satellite Motion Systems Under the Periodic Perturbation

本文运用Melnikov方法对平面卫星运动系统在周期扰动下所表现出来的动力学性质进行了探讨.首先运用次谐Melnikov方法给出了卫星轨道在周期扰动下存在次谐周期轨道的条件,并进一步运用同宿.Melnikov方法证实了该系统存在Smale马蹄意义下的混沌性质.

In this paper, we study qualitatively the dynamics of the satellite motion under the periodic perturbation. Firstly by applying the Melnikov method we give the conditions of existence of the subharmonic periodic orbits. Further we prove the existence of chaotic dynamics in the sense of Smale horseshoe in the system by using the homoclinic Melnikov method.