对称陀螺在重力场中定点转动的分析  

Analysis of the rotation modes of the symmetric top around fixed point in gravitational field

作　　者：刘贤雨 LIU Xian-yu(School of Earth and Space Sciences,Peking University,Beijing 100871,China)

机构地区：[1]北京大学地球与空间科学学院,北京100871

出　　处：《大学物理》2020年第8期51-57,67,共8页College Physics

摘　　要：基于拉格朗日力学方法,分析了重力场中的对称陀螺在六种初始条件下的运动模式,并利用其结果讨论了几个经典的对称陀螺问题.最后,就竖直陀螺转动稳定性问题给出了数学上的看法.In this paper,the rotation modes of the symmetric top with different initial conditions are discussed based on the Lagrange mechanics,results of which are utilised for analysis of several classic problems concerning the movement of the symmetric top.The paper also provides a mathematical opinion on the rotation stability of vertical symmetric top.

关 键 词：对称陀螺 转动模式 势能曲线 进动 周期 

分 类 号：O313.3[理学—一般力学与力学基础]