标题： 关于悬停磁性陀螺的动态稳定性 显示英文标题

标题： On the Dynamical Stability of the Hovering Magnetic Top

摘要： 在本文中，我们从第一原理分析了悬停磁性陀螺的动态稳定性，而无需使用任何预先假设。 我们列出了所有六个自由度的运动方程，并在平衡解附近对其进行解析求解。 利用此解，我们随后找到悬停陀螺相对于底座的高度、其总质量和其旋转速度必须满足的条件，以实现稳定的悬停。 本文中提出的计算可以作为中性粒子磁阱分析和综合的指导。 显示英文摘要

摘要： In this paper we analyze the dynamic stability of the hovering magnetic top from first principles without using any preliminary assumptions. We write down the equations of motion for all six degrees of freedom and solve them analytically around the equilibrium solution. Using this solution we then find conditions which the height of the hovering top above the base, its total mass, and its spinning speed have to satisfy for stable hovering. The calculation presented in this paper can be used as a guide to the analysis and synthesis of magnetic traps for neutral particles.