摘要
从拉格朗日方程出发,推导出了抛物线型旋转轨道上的珠子满足的运动方程,并讨论了珠子的平衡点.接着运用微分方程的稳定性理论,分析了平衡点的稳定性.最后利用数值模拟,得到了珠子运动的轨迹并验证了分析的结论.
In this work,the equation of motion satisfied by the bead on a parabolic rotating orbit is derived through the Lagrange equation.Moreover,the equilibrium point of the bead is discussed.Then the stability of the equilibrium point is analyzed by using the stability theory of differential equations.Finally,By using numerical simulation,the trajectory of the beads is obtained and the conclusions of the analysis are verified.
作者
曹煜轩
姜建刚
Cao Yuxuan;Jiang Jiangang(College of Science,Northwest Agriculture and Forestry University,Xianyang,Shaanxi 712100)
出处
《物理通报》
CAS
2022年第11期30-33,共4页
Physics Bulletin
关键词
抛物线型旋转轨道
微分方程
稳定性理论
数值模拟
parabolic rotating orbit
differential equations
stability theory
numerical simulation
