The Eccentric Kozai-Lidov Mechanism for Outer Test Particle

Autores
Naoz, Smadar; Li, Gongjie; Zanardi, Macarena; Elía, Gonzalo Carlos de; Di Sisto, Romina Paula
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets to stars to black holes. In such a system, two objects are on a tight orbit and the tertiary is on a much wider orbit. Here, we study the dynamics of a system by taking the tertiary mass to zero and solve the hierarchical three body system up to the octupole level of approximation. We find a rich dynamics that the outer orbit undergoes due to gravitational perturbations from the inner binary. The nominal result of the precession of the nodes is mostly limited for the lowest order of approximation; however, when the octupole level of approximation is introduced, the system becomes chaotic, as expected, and the tertiary oscillates below and above 90°, similarly to the non-test particle flip behavior. We provide the Hamiltonian of the system and investigate the dynamics of the system from the quadrupole to the octupole level of approximations. We also analyze the chaotic and quasi-periodic orbital evolution by studying the surfaces of sections. Furthermore, including general relativity, we showcase the long-term evolution of individual debris disk particles under the influence of a far-away interior eccentric planet. We show that this dynamics can naturally result in retrograde objects and a puffy disk after a long timescale evolution (a few Gyr) for initially aligned configuration.
Instituto de Astrofísica de La Plata
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/93628

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network_name_str SEDICI (UNLP)
spelling The Eccentric Kozai-Lidov Mechanism for Outer Test ParticleNaoz, SmadarLi, GongjieZanardi, MacarenaElía, Gonzalo Carlos deDi Sisto, Romina PaulaAstronomíacelestial mechanicschaosminor planets, asteroids: generalplanetary systemsThe secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets to stars to black holes. In such a system, two objects are on a tight orbit and the tertiary is on a much wider orbit. Here, we study the dynamics of a system by taking the tertiary mass to zero and solve the hierarchical three body system up to the octupole level of approximation. We find a rich dynamics that the outer orbit undergoes due to gravitational perturbations from the inner binary. The nominal result of the precession of the nodes is mostly limited for the lowest order of approximation; however, when the octupole level of approximation is introduced, the system becomes chaotic, as expected, and the tertiary oscillates below and above 90°, similarly to the non-test particle flip behavior. We provide the Hamiltonian of the system and investigate the dynamics of the system from the quadrupole to the octupole level of approximations. We also analyze the chaotic and quasi-periodic orbital evolution by studying the surfaces of sections. Furthermore, including general relativity, we showcase the long-term evolution of individual debris disk particles under the influence of a far-away interior eccentric planet. We show that this dynamics can naturally result in retrograde objects and a puffy disk after a long timescale evolution (a few Gyr) for initially aligned configuration.Instituto de Astrofísica de La PlataFacultad de Ciencias Astronómicas y Geofísicas2017-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/93628enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.3847/1538-3881/aa6fb0info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/handle/11336/64626info:eu-repo/semantics/altIdentifier/doi/10.3847/1538-3881/aa6fb0info:eu-repo/semantics/altIdentifier/hdl/11336/64626info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:19:26Zoai:sedici.unlp.edu.ar:10915/93628Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:19:27.188SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
title The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
spellingShingle The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
Naoz, Smadar
Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
title_short The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
title_full The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
title_fullStr The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
title_full_unstemmed The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
title_sort The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
dc.creator.none.fl_str_mv Naoz, Smadar
Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
author Naoz, Smadar
author_facet Naoz, Smadar
Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
author_role author
author2 Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
author2_role author
author
author
author
dc.subject.none.fl_str_mv Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
topic Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
dc.description.none.fl_txt_mv The secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets to stars to black holes. In such a system, two objects are on a tight orbit and the tertiary is on a much wider orbit. Here, we study the dynamics of a system by taking the tertiary mass to zero and solve the hierarchical three body system up to the octupole level of approximation. We find a rich dynamics that the outer orbit undergoes due to gravitational perturbations from the inner binary. The nominal result of the precession of the nodes is mostly limited for the lowest order of approximation; however, when the octupole level of approximation is introduced, the system becomes chaotic, as expected, and the tertiary oscillates below and above 90°, similarly to the non-test particle flip behavior. We provide the Hamiltonian of the system and investigate the dynamics of the system from the quadrupole to the octupole level of approximations. We also analyze the chaotic and quasi-periodic orbital evolution by studying the surfaces of sections. Furthermore, including general relativity, we showcase the long-term evolution of individual debris disk particles under the influence of a far-away interior eccentric planet. We show that this dynamics can naturally result in retrograde objects and a puffy disk after a long timescale evolution (a few Gyr) for initially aligned configuration.
Instituto de Astrofísica de La Plata
Facultad de Ciencias Astronómicas y Geofísicas
description The secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets to stars to black holes. In such a system, two objects are on a tight orbit and the tertiary is on a much wider orbit. Here, we study the dynamics of a system by taking the tertiary mass to zero and solve the hierarchical three body system up to the octupole level of approximation. We find a rich dynamics that the outer orbit undergoes due to gravitational perturbations from the inner binary. The nominal result of the precession of the nodes is mostly limited for the lowest order of approximation; however, when the octupole level of approximation is introduced, the system becomes chaotic, as expected, and the tertiary oscillates below and above 90°, similarly to the non-test particle flip behavior. We provide the Hamiltonian of the system and investigate the dynamics of the system from the quadrupole to the octupole level of approximations. We also analyze the chaotic and quasi-periodic orbital evolution by studying the surfaces of sections. Furthermore, including general relativity, we showcase the long-term evolution of individual debris disk particles under the influence of a far-away interior eccentric planet. We show that this dynamics can naturally result in retrograde objects and a puffy disk after a long timescale evolution (a few Gyr) for initially aligned configuration.
publishDate 2017
dc.date.none.fl_str_mv 2017-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/93628
url http://sedici.unlp.edu.ar/handle/10915/93628
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.3847/1538-3881/aa6fb0
info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/handle/11336/64626
info:eu-repo/semantics/altIdentifier/doi/10.3847/1538-3881/aa6fb0
info:eu-repo/semantics/altIdentifier/hdl/11336/64626
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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