Generalizations of the Stormer problem for dust grain orbits

Dullin, Holger R.; Horanyi, M.; Howard, J.E.

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Generalizations of the Stormer problem for dust grain orbits

preprint

posted on 2006-01-16, 11:43 authored by Holger R. Dullin, M. Horanyi, J.E. Howard

We consider the generalized Stormer Problem that includes the electromagnetic and gravitational forces on a charged dust grain near a planet. For dust grains a typical charge to mass ratio is such that neither force can be neglected. Including the gravitational force gives rise to stable circular orbits that encircle that plane entirely above/below the equatorial plane. The effects of the different forces are discussed in detail. A modified 3rd Kepler’s law is found and analyzed for dust grains.

History

School

Science

Department

Mathematical Sciences

Pages

862246 bytes

Publication date

2001

Notes

This is a pre-print. The definitive version: DULLIN, H.R., HORAYNI, M. and HOWARD, J.E., 2002. Generalizations of the Stormer problem for dust grain orbits. Physica D - Nonlinear Phenomena, 171(3), pp.178-195, is available at: http://www.sciencedirect.com/science/journal/01672789.