Generalizations of the St\"ormer Problem for Dust Grain Orbits
Chaotic Dynamics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.nlin/0104057,
title = {Generalizations of the St\"ormer Problem for Dust Grain Orbits},
author = {H. R. Dullin and M. Horányi and J. E. Howard},
journal= {arXiv preprint arXiv:nlin/0104057},
year = {2007}
}
Comments
21 pages LaTeX, 12 figures