具大角动量的奇异径向对称扰动系统的周期轨道

摘要

应用拓扑度理论,首先研究了Hill方程奇异径向对称扰动系统周期轨道的存在性及轨道的运动特征,最后得到了在排斥奇异情形下大的角动量及大的向径旋转.%In the report,the theory of topological degree was used to study the existence of periodic orbits of radically symmetric systems with a repulsive singularity.The periodic orbits rotate around the origin with both large angular and large amplitude was obtained.