On the Dynamical Stability of the Hovering Magnetic Top

Details On the Dynamical Stability of the Hovering Magnetic Top On the Dynamical Stability of the Hovering Magnetic Top

1998-03-15

arxiv.org/abs/physics/9803020v1

Physics

Classical Physics

19 pages, 5 figures (fig1.eps to fig5.eps), uses epsf.sty and amssymb.sty

Scientific paper

10.1016/S0167-2789(98)00282-6

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.

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