带直杆的圆环的周期运动

Periodic movement of rings with straight bars

利用KAM理论,将重力作为扰动,研究了一类带直杆的圆环的运动规律.当重力能量与总能量相比很小时,KAM不变曲线的存在表明扰动系统仍然具有无重力系统的运动规律.

the paper takes advantage of KAM theory,gravity as a disturbance.In this paper,the motion law of a kind of ring with straight bar is studied.When the gravity energy is very small compared with the total energy,the existence of KAM invariant curve indicates that the disturbance system still has the motion law of the non-gravity system.