1 5 M ar 1 99 8 On the Dynamical Stability of the Hovering Magnetic
نویسنده
چکیده
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.
منابع مشابه
3 0 M ar 1 99 8 On the Spinning Motion of the Hovering Magnetic Top
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 pre-cesses around a vertical fixed external axis. The hovering magnetic top, on the other hand, has its axis slightly tilted and moves rigidly 1 as a whole about the vertical axis. We call this ...
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