Families of symmetric periodic orbits in the three body problem and the figure eight
Ejemplar dedicado a: Actas de las VI Jornadas de Mecánica Celeste
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/98726 |
| Acceso en línea: | https://hdl.handle.net/11441/98726 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamiltonian and conservative systems Periodic solutions Numerical continuation Boundary value problems Three-body problem Figure-8 orbit |
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Families of symmetric periodic orbits in the three body problem and the figure eightMuñoz Almaraz, Francisco JavierGalán Vioque, Jorge FranciscoFreire Macías, EmilioPalacián Subiela, Jesús Francisco (Coordinador)Yanguas Sayas, Patricia (Coordinador)Hamiltonian and conservative systemsPeriodic solutionsNumerical continuationBoundary value problemsThree-body problemFigure-8 orbitEjemplar dedicado a: Actas de las VI Jornadas de Mecánica CelesteIn this paper we show a technique for the continuation of symmetric periodic orbits in systems with time-reversal symmetries. The geometric idea of this technique allows us to generalize the “cylinder” theorem for this kind of systems. We state the main theoretical result without proof (to be published elsewhere). We focus on the application of this scheme to the three body problem (TBP), taking as starting point the figure eight orbit [3] to find families of symmetric periodic orbits.DGYCIT/ Junta de Andalucía DGES PB98-1152DGYCIT/ Junta de Andalucía BFM-2003-00336Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de ZaragozaPalacián Subiela, Jesús FranciscoYanguas Sayas, PatriciaMatemática Aplicada IITIC130: Investigación en Sistemas Dinámicos en Ingeniería2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/98726reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMonografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 25, 229-240.DGES PB98-1152BFM-2003-00336http://www.raczar.es/webracz/seccion4.monografia25.do?enlaceMenu=seccion4.monografia25info:eu-repo/semantics/openAccessoai:idus.us.es:11441/987262026-06-17T12:51:07Z |
| dc.title.none.fl_str_mv |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| title |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| spellingShingle |
Families of symmetric periodic orbits in the three body problem and the figure eight Muñoz Almaraz, Francisco Javier Hamiltonian and conservative systems Periodic solutions Numerical continuation Boundary value problems Three-body problem Figure-8 orbit |
| title_short |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| title_full |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| title_fullStr |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| title_full_unstemmed |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| title_sort |
Families of symmetric periodic orbits in the three body problem and the figure eight |
| dc.creator.none.fl_str_mv |
Muñoz Almaraz, Francisco Javier Galán Vioque, Jorge Francisco Freire Macías, Emilio Palacián Subiela, Jesús Francisco (Coordinador) Yanguas Sayas, Patricia (Coordinador) |
| author |
Muñoz Almaraz, Francisco Javier |
| author_facet |
Muñoz Almaraz, Francisco Javier Galán Vioque, Jorge Francisco Freire Macías, Emilio Palacián Subiela, Jesús Francisco (Coordinador) Yanguas Sayas, Patricia (Coordinador) |
| author_role |
author |
| author2 |
Galán Vioque, Jorge Francisco Freire Macías, Emilio Palacián Subiela, Jesús Francisco (Coordinador) Yanguas Sayas, Patricia (Coordinador) |
| author2_role |
author author author author |
| dc.contributor.none.fl_str_mv |
Palacián Subiela, Jesús Francisco Yanguas Sayas, Patricia Matemática Aplicada II TIC130: Investigación en Sistemas Dinámicos en Ingeniería |
| dc.subject.none.fl_str_mv |
Hamiltonian and conservative systems Periodic solutions Numerical continuation Boundary value problems Three-body problem Figure-8 orbit |
| topic |
Hamiltonian and conservative systems Periodic solutions Numerical continuation Boundary value problems Three-body problem Figure-8 orbit |
| description |
Ejemplar dedicado a: Actas de las VI Jornadas de Mecánica Celeste |
| publishDate |
2004 |
| dc.date.none.fl_str_mv |
2004 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/11441/98726 |
| url |
https://hdl.handle.net/11441/98726 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 25, 229-240. DGES PB98-1152 BFM-2003-00336 http://www.raczar.es/webracz/seccion4.monografia25.do?enlaceMenu=seccion4.monografia25 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza |
| publisher.none.fl_str_mv |
Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza |
| dc.source.none.fl_str_mv |
reponame:idUS. Depósito de Investigación de la Universidad de Sevilla instname:Universidad de Sevilla (US) |
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Universidad de Sevilla (US) |
| reponame_str |
idUS. Depósito de Investigación de la Universidad de Sevilla |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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1869404457818652672 |
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15,300719 |