arXiv subjects

Shahar Gov

Publications and source records attributed to Shahar Gov.

2 recordsLinked to original sources

arXiv1999

How High Can The U-CAS Fly?

The U-CAS is a spinning magnetized top that is levitated in a static magnetic field. The field is produced by a permanent magnet base, positioned below the hovering top. In this paper we derive upper and lower bounds for h - the maximum hovering height of this top. We show that the bounds are of the form a*L where a is a dimensionless number ranging from about 1 to 12, depending on the constraints on the shape of the base and on stability considerations, and L is a characteristic length for the problem. For modern permanent magnets we find that L=~1[meter], thus limiting h to about few meters.

physics.class-ph↗

arXiv1998

On the Dynamical Stability of the Hovering Magnetic Top

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.

physics.class-ph↗