Generalizations of the Störmer Problem for Dust Grain Orbits

Details Generalizations of the Störmer Problem for Dust Grain Orbits Generalizations of the Störmer Problem for Dust Grain Orbits

2001-04-24

arxiv.org/abs/nlin/0104057v1

Physica D, 171:178--195, 2002.

Nonlinear Sciences

Chaotic Dynamics

21 pages LaTeX, 12 figures

Scientific paper

10.1016/S0167-2789(02)00550-X

We consider the generalized St\"ormer 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.

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