Orbits in the problem of two fixed centers on the sphere

[EN] A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultaneous gnomonic projections in S2. This isomorphism converts the original quadratures into elliptic integrals and allo...

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Autores: González León, Miguel Ángel, Mateos Guilarte, Juan María, Torre Mayado, Marina de la
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/133125
Acceso en línea:http://hdl.handle.net/10366/133125
Access Level:acceso abierto
Palabra clave:Mathematical physics
Mathematical Physics
Exactly Solvable
Integrable Systems
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spelling Orbits in the problem of two fixed centers on the sphereGonzález León, Miguel ÁngelMateos Guilarte, Juan MaríaTorre Mayado, Marina de laMathematical physicsMathematical PhysicsExactly SolvableIntegrable Systems[EN] A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultaneous gnomonic projections in S2. This isomorphism converts the original quadratures into elliptic integrals and allows the bifurcation diagram of the spherical problem to be analyzed in terms of the corresponding ones of the planar systems. The dynamics along the orbits in the different regimes for the problem in S2 is expressed in terms of Jacobi elliptic functions.201720172017info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10366/133125reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivs 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1331252026-06-07T06:28:51Z
dc.title.none.fl_str_mv Orbits in the problem of two fixed centers on the sphere
title Orbits in the problem of two fixed centers on the sphere
spellingShingle Orbits in the problem of two fixed centers on the sphere
González León, Miguel Ángel
Mathematical physics
Mathematical Physics
Exactly Solvable
Integrable Systems
title_short Orbits in the problem of two fixed centers on the sphere
title_full Orbits in the problem of two fixed centers on the sphere
title_fullStr Orbits in the problem of two fixed centers on the sphere
title_full_unstemmed Orbits in the problem of two fixed centers on the sphere
title_sort Orbits in the problem of two fixed centers on the sphere
dc.creator.none.fl_str_mv González León, Miguel Ángel
Mateos Guilarte, Juan María
Torre Mayado, Marina de la
author González León, Miguel Ángel
author_facet González León, Miguel Ángel
Mateos Guilarte, Juan María
Torre Mayado, Marina de la
author_role author
author2 Mateos Guilarte, Juan María
Torre Mayado, Marina de la
author2_role author
author
dc.subject.none.fl_str_mv Mathematical physics
Mathematical Physics
Exactly Solvable
Integrable Systems
topic Mathematical physics
Mathematical Physics
Exactly Solvable
Integrable Systems
description [EN] A trajectory isomorphism between the two Newtonian fixed center problem in the sphere and two associated planar two fixed center problems is constructed by performing two simultaneous gnomonic projections in S2. This isomorphism converts the original quadratures into elliptic integrals and allows the bifurcation diagram of the spherical problem to be analyzed in terms of the corresponding ones of the planar systems. The dynamics along the orbits in the different regimes for the problem in S2 is expressed in terms of Jacobi elliptic functions.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/133125
url http://hdl.handle.net/10366/133125
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivs 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
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