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Generalizations of the Stormer problem for dust grain orbits

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 or...

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Main Authors: Holger R. Dullin, M. Horanyi, J.E. Howard
Format: Default Preprint
Published: 2001
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Online Access:https://hdl.handle.net/2134/686
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author Holger R. Dullin
M. Horanyi
J.E. Howard
author_facet Holger R. Dullin
M. Horanyi
J.E. Howard
author_sort Holger R. Dullin (7159922)
collection Figshare
description 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.
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institution Loughborough University
publishDate 2001
record_format Figshare
spelling rr-article-93790672001-01-01T00:00:00Z Generalizations of the Stormer problem for dust grain orbits Holger R. Dullin (7159922) M. Horanyi (7160033) J.E. Howard (7160036) Other mathematical sciences not elsewhere classified Stormer problem dust grains halo orbits stability Mathematical Sciences not elsewhere classified 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. 2001-01-01T00:00:00Z Text Preprint 2134/686 https://figshare.com/articles/preprint/Generalizations_of_the_Stormer_problem_for_dust_grain_orbits/9379067 CC BY-NC-ND 4.0
spellingShingle Other mathematical sciences not elsewhere classified
Stormer problem
dust grains
halo orbits
stability
Mathematical Sciences not elsewhere classified
Holger R. Dullin
M. Horanyi
J.E. Howard
Generalizations of the Stormer problem for dust grain orbits
title Generalizations of the Stormer problem for dust grain orbits
title_full Generalizations of the Stormer problem for dust grain orbits
title_fullStr Generalizations of the Stormer problem for dust grain orbits
title_full_unstemmed Generalizations of the Stormer problem for dust grain orbits
title_short Generalizations of the Stormer problem for dust grain orbits
title_sort generalizations of the stormer problem for dust grain orbits
topic Other mathematical sciences not elsewhere classified
Stormer problem
dust grains
halo orbits
stability
Mathematical Sciences not elsewhere classified
url https://hdl.handle.net/2134/686