The Keplerian regime of charged particles in planetary magnetospheres

The dynamics of a charged particle orbiting around a rotating magnetic planet is studied. The system is modelled by the two-body Hamiltonian perturbed by an axially-symmetric function which goes to infinity as soon as the particle approaches the planet. The perturbation consists in a magnetic dipole...

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Authors: Iñarrea, M. [0000-0003-2859-1116], Lanchares, V. [0000-0003-3228-9382], Palacián, J.F. [0000-0002-0974-6656], Pascual, A.I. [0000-0002-0458-0060], Pablo Salas, J. [0000-0003-2009-8247], Yanguas, P. [0000-0001-9767-5554]
Format: article
Status:Published version
Publication Date:2004
Country:España
Institution:Universidad de La Rioja (UR)
Repository:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6989b750603269e81d01
Online Access:https://investigacion.unirioja.es/documentos/5bbc6989b750603269e81d01
Access Level:Open access
Keyword:Averaging the mean anomaly
Equilibria
Periodic orbits and invariant tori
Perturbed Kepler problems
Planetary magnetospheres
Reconstruction of the flow
Størmer problem
Stability and bifurcations
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spelling The Keplerian regime of charged particles in planetary magnetospheresIñarrea, M. [0000-0003-2859-1116]Lanchares, V. [0000-0003-3228-9382]Palacián, J.F. [0000-0002-0974-6656]Pascual, A.I. [0000-0002-0458-0060]Pablo Salas, J. [0000-0003-2009-8247]Yanguas, P. [0000-0001-9767-5554]Averaging the mean anomalyEquilibriaPeriodic orbits and invariant toriPerturbed Kepler problemsPlanetary magnetospheresReconstruction of the flowStørmer problemStability and bifurcationsThe dynamics of a charged particle orbiting around a rotating magnetic planet is studied. The system is modelled by the two-body Hamiltonian perturbed by an axially-symmetric function which goes to infinity as soon as the particle approaches the planet. The perturbation consists in a magnetic dipole field and a corotational electric field. When it is weak compared to the Keplerian part of the Hamiltonian, we average the system with respect to the mean anomaly up to first order in terms of a small parameter defined by the ratio between the magnetic and the Keplerian interactions. After dropping higher-order terms, we use invariant theory to reduce the averaged system by virtue of its continuous and discrete symmetries, determining also the successive reduced phase spaces. Then, we study the flow of the resulting system in the most reduced phase space, describing all equilibria and their stability, as well as the different classes of bifurcations. Finally, we connect the analysis of the flow on these reduced phase spaces with the one of the original system. © 2004 Published by Elsevier B.V.2004info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6989b750603269e81d01reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.PHYSD.2004.07.009info:eu-repo/semantics/altIdentifier/wos/WOS:000224441300004info:eu-repo/semantics/altIdentifier/pissn/0167-2789The Keplerian regime of charged particles in planetary magnetospheres, 2004, vol. 197, núm. 3, pág. 242-268info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6989b750603269e81d012026-06-14T12:47:17Z
dc.title.none.fl_str_mv The Keplerian regime of charged particles in planetary magnetospheres
title The Keplerian regime of charged particles in planetary magnetospheres
spellingShingle The Keplerian regime of charged particles in planetary magnetospheres
Iñarrea, M. [0000-0003-2859-1116]
Averaging the mean anomaly
Equilibria
Periodic orbits and invariant tori
Perturbed Kepler problems
Planetary magnetospheres
Reconstruction of the flow
Størmer problem
Stability and bifurcations
title_short The Keplerian regime of charged particles in planetary magnetospheres
title_full The Keplerian regime of charged particles in planetary magnetospheres
title_fullStr The Keplerian regime of charged particles in planetary magnetospheres
title_full_unstemmed The Keplerian regime of charged particles in planetary magnetospheres
title_sort The Keplerian regime of charged particles in planetary magnetospheres
dc.creator.none.fl_str_mv Iñarrea, M. [0000-0003-2859-1116]
Lanchares, V. [0000-0003-3228-9382]
Palacián, J.F. [0000-0002-0974-6656]
Pascual, A.I. [0000-0002-0458-0060]
Pablo Salas, J. [0000-0003-2009-8247]
Yanguas, P. [0000-0001-9767-5554]
author Iñarrea, M. [0000-0003-2859-1116]
author_facet Iñarrea, M. [0000-0003-2859-1116]
Lanchares, V. [0000-0003-3228-9382]
Palacián, J.F. [0000-0002-0974-6656]
Pascual, A.I. [0000-0002-0458-0060]
Pablo Salas, J. [0000-0003-2009-8247]
Yanguas, P. [0000-0001-9767-5554]
author_role author
author2 Lanchares, V. [0000-0003-3228-9382]
Palacián, J.F. [0000-0002-0974-6656]
Pascual, A.I. [0000-0002-0458-0060]
Pablo Salas, J. [0000-0003-2009-8247]
Yanguas, P. [0000-0001-9767-5554]
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Averaging the mean anomaly
Equilibria
Periodic orbits and invariant tori
Perturbed Kepler problems
Planetary magnetospheres
Reconstruction of the flow
Størmer problem
Stability and bifurcations
topic Averaging the mean anomaly
Equilibria
Periodic orbits and invariant tori
Perturbed Kepler problems
Planetary magnetospheres
Reconstruction of the flow
Størmer problem
Stability and bifurcations
description The dynamics of a charged particle orbiting around a rotating magnetic planet is studied. The system is modelled by the two-body Hamiltonian perturbed by an axially-symmetric function which goes to infinity as soon as the particle approaches the planet. The perturbation consists in a magnetic dipole field and a corotational electric field. When it is weak compared to the Keplerian part of the Hamiltonian, we average the system with respect to the mean anomaly up to first order in terms of a small parameter defined by the ratio between the magnetic and the Keplerian interactions. After dropping higher-order terms, we use invariant theory to reduce the averaged system by virtue of its continuous and discrete symmetries, determining also the successive reduced phase spaces. Then, we study the flow of the resulting system in the most reduced phase space, describing all equilibria and their stability, as well as the different classes of bifurcations. Finally, we connect the analysis of the flow on these reduced phase spaces with the one of the original system. © 2004 Published by Elsevier B.V.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6989b750603269e81d01
url https://investigacion.unirioja.es/documentos/5bbc6989b750603269e81d01
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/J.PHYSD.2004.07.009
info:eu-repo/semantics/altIdentifier/wos/WOS:000224441300004
info:eu-repo/semantics/altIdentifier/pissn/0167-2789
The Keplerian regime of charged particles in planetary magnetospheres, 2004, vol. 197, núm. 3, pág. 242-268
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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