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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/93628
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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 http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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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 |
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