标题： 关于悬停磁性陀螺的旋转运动 显示英文标题

标题： On the Spinning Motion of the Hovering Magnetic Top

摘要： 在本文中，我们分析了悬浮磁性陀螺的旋转运动。我们观察到其运动与经典陀螺的运动不同。经典陀螺绕其自身轴旋转，并围绕一个垂直的外部固定轴进动。另一方面，悬浮磁性陀螺的轴略微倾斜，并作为一个整体围绕垂直轴移动。我们将这种运动称为同步运动，因为在闪光实验中，我们看到陀螺边缘的一个点与陀螺轴同步移动。我们表明，同步运动可能是由于磁矩相对于陀螺对称轴的小偏差引起的。我们计算了稳定性所需的最小角速度，以惯性矩和磁场为参数，并表明它与经典陀螺的不同。我们还给出了使用惯性矩可改变的陀螺进行的实验结果。这些结果与我们的计算非常吻合。 显示英文摘要

摘要： In this paper we analyze the spinning motion of the hovering magnetic top. We have observed that its motion looks different from that of a classical top. A classical top rotates about its own axis which precesses around a vertical fixed external axis. The hovering magnetic top, on the other hand, has its axis slightly tilted and moves rigidly as a whole about the vertical axis. We call this motion synchronous, because in a stroboscopic experiment we see that a point at the rim of the top moves synchronously with the top axis. We show that the synchronous motion may be attributed to a small deviation of the magnetic moment from the symmetry axis of the top. We calculate the minimum angular velocity required for stability in terms of the moments of inertia and magnetic field and show that it is different from that of a classical top. We also give experimental results that were taken with a top whose moment of inertia can be changed. These results show very good agreement with our calculations.