大学物理 ›› 2020, Vol. 39 ›› Issue (8): 51-57.doi: 10.16854 /j.cnki.1000-0712.190525

• 大学生园地 • 上一篇    下一篇

对称陀螺在重力场中定点转动的分析

刘贤雨   

  1. 北京大学地球与空间科学学院,北京100871
  • 收稿日期:2019-11-18 修回日期:2020-02-14 出版日期:2020-08-20 发布日期:2020-09-07
  • 作者简介:刘贤雨( 2001—) ,男,江苏苏州人,北京大学地球与空间科学学院2019 级本科生

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

LIU Xian-yu   

  1. School of Earth and Space Sciences,Peking University,Beijing 100871,China
  • Received:2019-11-18 Revised:2020-02-14 Online:2020-08-20 Published:2020-09-07

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.

关键词: 对称陀螺, 转动模式, 势能曲线, 进动, 周期

Abstract: 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.

Key words: symmetric top, rotation mode, potential curve, procession, cycle