Exploring the orbital evolution of planetary systems
Resumen:
The aim of this paper is to encourage the use of orbital integrators in the classroom to discover and understand the long term dynamical evolution of systems of orbiting bodies. We show how to perform numerical simulations and how to handle output data in order to reveal the dynamical mechanisms that dominate the evolution of arbitrary planetary systems in timescales of millions of years using a simple but efficient numerical integrator. Through some examples we reveal the fundamental properties of planetary systems: the time evolution of the orbital elements, the free and forced modes that drive oscillations in eccentricity and inclination, the fundamental frequencies of the system, the role of the angular momenta, the invariable plane, orbital resonances, and the Kozai-Lidov mechanism. © 2017 European Physical Society.
| 2017 | |
|
Planetary systems Orbital dynamics Numerical methods |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/22027 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC –BY 4.0) |
| _version_ | 1807522779738669056 |
|---|---|
| author | Gallardo, Tabaré |
| author_facet | Gallardo, Tabaré |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.es.fl_str_mv | Gallardo, Tabaré. Universidad de la República (Uruguay). Facultad de Ciencias. Departamento de Física |
| dc.creator.none.fl_str_mv | Gallardo, Tabaré |
| dc.date.accessioned.none.fl_str_mv | 2019-10-02T22:08:31Z |
| dc.date.available.none.fl_str_mv | 2019-10-02T22:08:31Z |
| dc.date.issued.es.fl_str_mv | 2017 |
| dc.date.submitted.es.fl_str_mv | 20190930 |
| dc.description.abstract.none.fl_txt_mv | The aim of this paper is to encourage the use of orbital integrators in the classroom to discover and understand the long term dynamical evolution of systems of orbiting bodies. We show how to perform numerical simulations and how to handle output data in order to reveal the dynamical mechanisms that dominate the evolution of arbitrary planetary systems in timescales of millions of years using a simple but efficient numerical integrator. Through some examples we reveal the fundamental properties of planetary systems: the time evolution of the orbital elements, the free and forced modes that drive oscillations in eccentricity and inclination, the fundamental frequencies of the system, the role of the angular momenta, the invariable plane, orbital resonances, and the Kozai-Lidov mechanism. © 2017 European Physical Society. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Gallardo, T. Exploring the orbital evolution of planetary systems. European Journal of Physics, 2017, 38 (3), art. no. 035002. doi: 10.1088/1361-6404/aa5e0c |
| dc.identifier.doi.es.fl_str_mv | 10.1088/1361-6404/aa5e0c |
| dc.identifier.issn.es.fl_str_mv | 0143-0807 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/22027 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | Institute of Physics Publishing |
| dc.relation.ispartof.es.fl_str_mv | European Journal of Physics, 2017, 38 (3), art. no. 035002 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC –BY 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Planetary systems Orbital dynamics Numerical methods |
| dc.title.none.fl_str_mv | Exploring the orbital evolution of planetary systems |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | The aim of this paper is to encourage the use of orbital integrators in the classroom to discover and understand the long term dynamical evolution of systems of orbiting bodies. We show how to perform numerical simulations and how to handle output data in order to reveal the dynamical mechanisms that dominate the evolution of arbitrary planetary systems in timescales of millions of years using a simple but efficient numerical integrator. Through some examples we reveal the fundamental properties of planetary systems: the time evolution of the orbital elements, the free and forced modes that drive oscillations in eccentricity and inclination, the fundamental frequencies of the system, the role of the angular momenta, the invariable plane, orbital resonances, and the Kozai-Lidov mechanism. © 2017 European Physical Society. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_47041d0a12aa1d66ce1579848925e264 |
| identifier_str_mv | Gallardo, T. Exploring the orbital evolution of planetary systems. European Journal of Physics, 2017, 38 (3), art. no. 035002. doi: 10.1088/1361-6404/aa5e0c 0143-0807 10.1088/1361-6404/aa5e0c |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/22027 |
| publishDate | 2017 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución (CC –BY 4.0) |
| spelling | Gallardo, Tabaré. Universidad de la República (Uruguay). Facultad de Ciencias. Departamento de Física2019-10-02T22:08:31Z2019-10-02T22:08:31Z201720190930Gallardo, T. Exploring the orbital evolution of planetary systems. European Journal of Physics, 2017, 38 (3), art. no. 035002. doi: 10.1088/1361-6404/aa5e0c0143-0807https://hdl.handle.net/20.500.12008/2202710.1088/1361-6404/aa5e0cThe aim of this paper is to encourage the use of orbital integrators in the classroom to discover and understand the long term dynamical evolution of systems of orbiting bodies. We show how to perform numerical simulations and how to handle output data in order to reveal the dynamical mechanisms that dominate the evolution of arbitrary planetary systems in timescales of millions of years using a simple but efficient numerical integrator. Through some examples we reveal the fundamental properties of planetary systems: the time evolution of the orbital elements, the free and forced modes that drive oscillations in eccentricity and inclination, the fundamental frequencies of the system, the role of the angular momenta, the invariable plane, orbital resonances, and the Kozai-Lidov mechanism. © 2017 European Physical Society.Made available in DSpace on 2019-10-02T22:08:31Z (GMT). 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Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución (CC –BY 4.0)Planetary systemsOrbital dynamicsNumerical methodsExploring the orbital evolution of planetary systemsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGallardo, 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- Universidad de la Repúblicafalse |
| spellingShingle | Exploring the orbital evolution of planetary systems Gallardo, Tabaré Planetary systems Orbital dynamics Numerical methods |
| status_str | publishedVersion |
| title | Exploring the orbital evolution of planetary systems |
| title_full | Exploring the orbital evolution of planetary systems |
| title_fullStr | Exploring the orbital evolution of planetary systems |
| title_full_unstemmed | Exploring the orbital evolution of planetary systems |
| title_short | Exploring the orbital evolution of planetary systems |
| title_sort | Exploring the orbital evolution of planetary systems |
| topic | Planetary systems Orbital dynamics Numerical methods |
| url | https://hdl.handle.net/20.500.12008/22027 |
