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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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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. |
format | Default Preprint |
id | rr-article-9379067 |
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 |