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Title: Generalizations of the Stormer problem for dust grain orbits
Authors: Dullin, Holger R.
Horanyi, M.
Howard, J.E.
Keywords: Stormer problem
dust grains
halo orbits
stability
Issue Date: 2001
Abstract: 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.
Description: 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.
URI: https://dspace.lboro.ac.uk/2134/686
Appears in Collections:Pre-prints (Maths)

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