Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber
- Autores
- de Elia, Gonzalo Carlos; Zanardi, Macarena; Dugaro, Agustin; Naoz, Smadar
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We analyze the behavior of the argument of pericenter ω2 of an outer particle in the elliptical restricted three-body problem, focusing on the ω2 resonance or inverse Lidov-Kozai resonance. First, we calculate the contribution of the terms of quadrupole, octupole, and hexadecapolar order of the secular approximation of the potential to the outer particle´s ω2 precession rate (dω2 /dτ). Then, we derive analytical criteria that determine the vanishing of the ω2 quadrupole precession rate (dω2/dτ)quad for different values of the inner perturber´s eccentricity e1. Finally, we use such analytical considerations and describe the behavior of ω2 of outer particles extracted from N-body simulations developed in a previous work. Our analytical study indicates that the values of the inclination i2 and the ascending node longitude Ω2 associated with the outer particle that vanish (dω2 /dτ)quad strongly depend on the eccentricity e1 of the inner perturber. In fact, if e1 < 0.25 (>0.40825), (dω2/dτ)quad is only vanished for particles whose Ω2 circulates (librates). For e1 between 0.25 and 0.40825, (dω2 /dτ)quad can be vanished for any particle for a suitable selection of pairs (Ω2 , i2). Our analysis of the N-body simulations shows that the inverse Lidov-Kozai resonance is possible for small, moderate and high values of e1. Moreover, such a resonance produces distinctive features in the evolution of a particle in the (Ω2 , i2 ) plane. In fact, if ω2 librates and Ω2 circulates, the extremes of i2 at Ω2 = 90◦ and270◦ do not reach the same value, while if ω2 and Ω2 librate, the evolutionary trajectory of the particle in the (Ω2, i2) plane evidences an asymmetry respect to i2 = 90◦ . The evolution of ω2 associated with the outer particles of the N-body simulations can be very well explained by the analytical criteria derived in our investigation.
Fil: de Elia, Gonzalo Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Zanardi, Macarena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Dugaro, Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Naoz, Smadar. University of California at Los Angeles; Estados Unidos - Materia
-
METHODS: NUMERICAL
MINOR PLANETS, ASTEROIDS: GENERAL
PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/121000
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network_name_str |
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Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturberde Elia, Gonzalo CarlosZanardi, MacarenaDugaro, AgustinNaoz, SmadarMETHODS: NUMERICALMINOR PLANETS, ASTEROIDS: GENERALPLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We analyze the behavior of the argument of pericenter ω2 of an outer particle in the elliptical restricted three-body problem, focusing on the ω2 resonance or inverse Lidov-Kozai resonance. First, we calculate the contribution of the terms of quadrupole, octupole, and hexadecapolar order of the secular approximation of the potential to the outer particle´s ω2 precession rate (dω2 /dτ). Then, we derive analytical criteria that determine the vanishing of the ω2 quadrupole precession rate (dω2/dτ)quad for different values of the inner perturber´s eccentricity e1. Finally, we use such analytical considerations and describe the behavior of ω2 of outer particles extracted from N-body simulations developed in a previous work. Our analytical study indicates that the values of the inclination i2 and the ascending node longitude Ω2 associated with the outer particle that vanish (dω2 /dτ)quad strongly depend on the eccentricity e1 of the inner perturber. In fact, if e1 < 0.25 (>0.40825), (dω2/dτ)quad is only vanished for particles whose Ω2 circulates (librates). For e1 between 0.25 and 0.40825, (dω2 /dτ)quad can be vanished for any particle for a suitable selection of pairs (Ω2 , i2). Our analysis of the N-body simulations shows that the inverse Lidov-Kozai resonance is possible for small, moderate and high values of e1. Moreover, such a resonance produces distinctive features in the evolution of a particle in the (Ω2 , i2 ) plane. In fact, if ω2 librates and Ω2 circulates, the extremes of i2 at Ω2 = 90◦ and270◦ do not reach the same value, while if ω2 and Ω2 librate, the evolutionary trajectory of the particle in the (Ω2, i2) plane evidences an asymmetry respect to i2 = 90◦ . The evolution of ω2 associated with the outer particles of the N-body simulations can be very well explained by the analytical criteria derived in our investigation.Fil: de Elia, Gonzalo Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Zanardi, Macarena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Dugaro, Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Naoz, Smadar. University of California at Los Angeles; Estados UnidosEDP Sciences2019-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/121000de Elia, Gonzalo Carlos; Zanardi, Macarena; Dugaro, Agustin; Naoz, Smadar; Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber; EDP Sciences; Astronomy and Astrophysics; 627; A17; 6-2019; 1-150004-6361CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1051/0004-6361/201935220info:eu-repo/semantics/altIdentifier/url/https://www.aanda.org/articles/aa/full_html/2019/07/aa35220-19/aa35220-19.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:52:52Zoai:ri.conicet.gov.ar:11336/121000instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:52:52.986CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
title |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
spellingShingle |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber de Elia, Gonzalo Carlos METHODS: NUMERICAL MINOR PLANETS, ASTEROIDS: GENERAL PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY |
title_short |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
title_full |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
title_fullStr |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
title_full_unstemmed |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
title_sort |
Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber |
dc.creator.none.fl_str_mv |
de Elia, Gonzalo Carlos Zanardi, Macarena Dugaro, Agustin Naoz, Smadar |
author |
de Elia, Gonzalo Carlos |
author_facet |
de Elia, Gonzalo Carlos Zanardi, Macarena Dugaro, Agustin Naoz, Smadar |
author_role |
author |
author2 |
Zanardi, Macarena Dugaro, Agustin Naoz, Smadar |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
METHODS: NUMERICAL MINOR PLANETS, ASTEROIDS: GENERAL PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY |
topic |
METHODS: NUMERICAL MINOR PLANETS, ASTEROIDS: GENERAL PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We analyze the behavior of the argument of pericenter ω2 of an outer particle in the elliptical restricted three-body problem, focusing on the ω2 resonance or inverse Lidov-Kozai resonance. First, we calculate the contribution of the terms of quadrupole, octupole, and hexadecapolar order of the secular approximation of the potential to the outer particle´s ω2 precession rate (dω2 /dτ). Then, we derive analytical criteria that determine the vanishing of the ω2 quadrupole precession rate (dω2/dτ)quad for different values of the inner perturber´s eccentricity e1. Finally, we use such analytical considerations and describe the behavior of ω2 of outer particles extracted from N-body simulations developed in a previous work. Our analytical study indicates that the values of the inclination i2 and the ascending node longitude Ω2 associated with the outer particle that vanish (dω2 /dτ)quad strongly depend on the eccentricity e1 of the inner perturber. In fact, if e1 < 0.25 (>0.40825), (dω2/dτ)quad is only vanished for particles whose Ω2 circulates (librates). For e1 between 0.25 and 0.40825, (dω2 /dτ)quad can be vanished for any particle for a suitable selection of pairs (Ω2 , i2). Our analysis of the N-body simulations shows that the inverse Lidov-Kozai resonance is possible for small, moderate and high values of e1. Moreover, such a resonance produces distinctive features in the evolution of a particle in the (Ω2 , i2 ) plane. In fact, if ω2 librates and Ω2 circulates, the extremes of i2 at Ω2 = 90◦ and270◦ do not reach the same value, while if ω2 and Ω2 librate, the evolutionary trajectory of the particle in the (Ω2, i2) plane evidences an asymmetry respect to i2 = 90◦ . The evolution of ω2 associated with the outer particles of the N-body simulations can be very well explained by the analytical criteria derived in our investigation. Fil: de Elia, Gonzalo Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina Fil: Zanardi, Macarena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina Fil: Dugaro, Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina Fil: Naoz, Smadar. University of California at Los Angeles; Estados Unidos |
description |
We analyze the behavior of the argument of pericenter ω2 of an outer particle in the elliptical restricted three-body problem, focusing on the ω2 resonance or inverse Lidov-Kozai resonance. First, we calculate the contribution of the terms of quadrupole, octupole, and hexadecapolar order of the secular approximation of the potential to the outer particle´s ω2 precession rate (dω2 /dτ). Then, we derive analytical criteria that determine the vanishing of the ω2 quadrupole precession rate (dω2/dτ)quad for different values of the inner perturber´s eccentricity e1. Finally, we use such analytical considerations and describe the behavior of ω2 of outer particles extracted from N-body simulations developed in a previous work. Our analytical study indicates that the values of the inclination i2 and the ascending node longitude Ω2 associated with the outer particle that vanish (dω2 /dτ)quad strongly depend on the eccentricity e1 of the inner perturber. In fact, if e1 < 0.25 (>0.40825), (dω2/dτ)quad is only vanished for particles whose Ω2 circulates (librates). For e1 between 0.25 and 0.40825, (dω2 /dτ)quad can be vanished for any particle for a suitable selection of pairs (Ω2 , i2). Our analysis of the N-body simulations shows that the inverse Lidov-Kozai resonance is possible for small, moderate and high values of e1. Moreover, such a resonance produces distinctive features in the evolution of a particle in the (Ω2 , i2 ) plane. In fact, if ω2 librates and Ω2 circulates, the extremes of i2 at Ω2 = 90◦ and270◦ do not reach the same value, while if ω2 and Ω2 librate, the evolutionary trajectory of the particle in the (Ω2, i2) plane evidences an asymmetry respect to i2 = 90◦ . The evolution of ω2 associated with the outer particles of the N-body simulations can be very well explained by the analytical criteria derived in our investigation. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-06 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/121000 de Elia, Gonzalo Carlos; Zanardi, Macarena; Dugaro, Agustin; Naoz, Smadar; Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber; EDP Sciences; Astronomy and Astrophysics; 627; A17; 6-2019; 1-15 0004-6361 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/121000 |
identifier_str_mv |
de Elia, Gonzalo Carlos; Zanardi, Macarena; Dugaro, Agustin; Naoz, Smadar; Inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber; EDP Sciences; Astronomy and Astrophysics; 627; A17; 6-2019; 1-15 0004-6361 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1051/0004-6361/201935220 info:eu-repo/semantics/altIdentifier/url/https://www.aanda.org/articles/aa/full_html/2019/07/aa35220-19/aa35220-19.html |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
EDP Sciences |
publisher.none.fl_str_mv |
EDP Sciences |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
_version_ |
1844613619977814016 |
score |
13.070432 |