大学物理 ›› 2019, Vol. 38 ›› Issue (6): 8-.doi: 10.16854 /j.cnki.1000-0712.180544

• 教学讨论 • 上一篇    下一篇

星球自转角速度的上限

于凤军,汤振杰,田俊龙   

  1. 安阳师范学院物理与电气工程学院,河南安阳455000
  • 收稿日期:2018-10-02 修回日期:2018-12-14 出版日期:2019-06-20 发布日期:2019-07-02
  • 作者简介:于凤军( 1959—) ,男,河南安阳人,安阳师范学院物理与电气工程学院教授,主要从事理论物理、天体
  • 基金资助:
    河南省科技攻关项目( 172102210092) 资助

Upper limit of planetary rotation speed

YU Feng-jun,TANG Zhen-jie,TIAN Jun-long   

  1. College of Physics and Electrical Engineering,Anyang Normal University,Anyang Henan 455000,China
  • Received:2018-10-02 Revised:2018-12-14 Online:2019-06-20 Published:2019-07-02

摘要: 许多星球都有自转运动,在随星球转动的参考系中,星球的各质点受到惯性离心力的作用,使其呈现扁旋转椭球

形状. 转动越快,惯性离心力越大,当转速大于某临界值时星球会破裂. 本文从最小势能原理出发, 严格计算星球自转角速

度的上限.

关键词: 星球, 角速度, 引力, 惯性离心力, 最小势能原理

Abstract: Many planets have rotational motions. In a reference frame rotating with the planet,the mass point

of the planet is subjected to an inertial centrifugal force,which makes it appear as a flat rotating ellipsoid. The faster

the planet rotates,the greater the centrifugal force of inertia is. When the speed is greater than a critical value,

the planet will break. Based on the principle of minimum potential energy,the upper limit of planetary rotation

  speed is strictly calculated.

Key words: planet, angular velocity, gravity, centrifugal force of inertia, principle of minimum potential energy