The Eccentric Kozai-Lidov Mechanism for Outer Test Particle

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...

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Autores principales: Naoz, Smadar, Li, Gongjie, Zanardi, Macarena, Elía, Gonzalo Carlos de, Di Sisto, Romina Paula
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93628
http://iopscience.iop.org/article/10.3847/1538-3881/aa6fb0
https://ri.conicet.gov.ar/handle/11336/64626
Aporte de:
id I19-R120-10915-93628
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
spellingShingle Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
Naoz, Smadar
Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
topic_facet Astronomía
celestial mechanics
chaos
minor planets, asteroids: general
planetary systems
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.
format Articulo
Articulo
author Naoz, Smadar
Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
author_facet Naoz, Smadar
Li, Gongjie
Zanardi, Macarena
Elía, Gonzalo Carlos de
Di Sisto, Romina Paula
author_sort Naoz, Smadar
title The Eccentric Kozai-Lidov Mechanism for Outer Test Particle
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 eccentric kozai-lidov mechanism for outer test particle
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/93628
http://iopscience.iop.org/article/10.3847/1538-3881/aa6fb0
https://ri.conicet.gov.ar/handle/11336/64626
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