摘要
对《对称陀螺在重力场中定点转动的分析》一文中的能量守恒公式提出质疑,并推导证明了正确的公式.在有效势能的公式中引入了两个守恒参数,求出了有效势能的导数和二阶导数,并且求出了导数为零时的有效势能和二阶导数,通过作图和分析,说明了陀螺转动中章动角的变化范围和在平衡点的稳定性.
In this paper,the energy conservation formula in the article“Analysis of the rotation modes of the symmetric top around fixed point in gravitational field”has been questioned,and the correct formula has been deduced and proved.Two conservation parameters are introduced in the formula of effective potential energy,and the derivative and the second derivative of the effective potential energy are obtained.In addition,the effective potential energy and second-order derivative have also been calculated when the derivative is zero.Through drawing and analysis,the range of the change of nutation angle during the gyro rotation and the stability at the equilibrium point are explained.
作者
周群益
周丽丽
莫云飞
侯兆阳
ZHOU Qun-yi;ZHOU Li-li;MO Yun-fei;HOU Zhao-yang(College of General Education,Guangzhou Institute of Science and Technology,Guangzhou,Guangdong 510540,China;School of Medical and Information Engineering,Gannan Medical University,Ganzhou,Jiangxi 341000,China;School of Electronic Information and Electrical Engineering,Changsha University,Changsha,Hunan 410022,China;School of Science,Chang an University,Xi an,Shaanxi 710064,China)
出处
《大学物理》
2021年第9期13-20,27,共9页
College Physics
基金
广东省高校科研特色创新项目(2020KTSCX209)
国家自科基金(12004053)资助。
关键词
拉格朗日陀螺
有效势能
章动角
稳定性
Lagrangian gyro
effective potential energy
nutation angle
stability
