Generalizations of the Störmer Problem for Dust Grain Orbits
arXiv:nlin/0104057 · doi:10.1016/S0167-2789(02)00550-X
Abstract
We consider the generalized Störmer 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.
21 pages LaTeX, 12 figures