Secular models and Kozai resonance for planets in coorbital non-coplanar motion

Autores
Giuppone, Cristian Andrés; Leiva, Alejandro Martín
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, we construct and test an analytical model and a semi-analytical secular model for two planets locked in a coorbital non-coplanar motion, comparing the results with the restricted three-body problem. The analytical average model replicates the numerical N-body integrations, even for moderate eccentricities (≲0.3) and inclinations (≲10°), except for the regions corresponding to quasi-satellite and Lidov-Kozai configurations. Furthermore, this model is also useful in the restricted three-body problem, assuming a very low mass ratio between the planets. We also describe a four-degree-of-freedom semi-analytical model valid for any type of coorbital configuration in a wide range of eccentricities and inclinations. Using an N-body integrator, we have found that the phase space of the general three-body problem is different to the restricted case for an inclined system, and we establish the location of the Lidov-Kozai equilibrium configurations depending on the mass ratio. We study the stability of periodic orbits in the inclined systems, and find that apart from the robust configurations, L4, AL4 and QS, it is possible to HARBOUR two Earth-like planets in orbits previously identified as unstable (U) and also in Euler L3 configurations, with bounded chaos.
Fil: Giuppone, Cristian Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina
Fil: Leiva, Alejandro Martín. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; Argentina
Materia
ANALYTICAL
CELESTIAL MECHANICS
DYNAMICAL EVOLUTION AND STABILITY
METHODS
PLANETARY SYSTEMS
PLANETS AND SATELLITES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/183144
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/183144
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network_name_str CONICET Digital (CONICET)
spelling Secular models and Kozai resonance for planets in coorbital non-coplanar motionGiuppone, Cristian AndrésLeiva, Alejandro MartínANALYTICALCELESTIAL MECHANICSDYNAMICAL EVOLUTION AND STABILITYMETHODSPLANETARY SYSTEMSPLANETS AND SATELLITEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work, we construct and test an analytical model and a semi-analytical secular model for two planets locked in a coorbital non-coplanar motion, comparing the results with the restricted three-body problem. The analytical average model replicates the numerical N-body integrations, even for moderate eccentricities (≲0.3) and inclinations (≲10°), except for the regions corresponding to quasi-satellite and Lidov-Kozai configurations. Furthermore, this model is also useful in the restricted three-body problem, assuming a very low mass ratio between the planets. We also describe a four-degree-of-freedom semi-analytical model valid for any type of coorbital configuration in a wide range of eccentricities and inclinations. Using an N-body integrator, we have found that the phase space of the general three-body problem is different to the restricted case for an inclined system, and we establish the location of the Lidov-Kozai equilibrium configurations depending on the mass ratio. We study the stability of periodic orbits in the inclined systems, and find that apart from the robust configurations, L4, AL4 and QS, it is possible to HARBOUR two Earth-like planets in orbits previously identified as unstable (U) and also in Euler L3 configurations, with bounded chaos.Fil: Giuppone, Cristian Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; ArgentinaFil: Leiva, Alejandro Martín. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; ArgentinaWiley Blackwell Publishing, Inc2016-07-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/183144Giuppone, Cristian Andrés; Leiva, Alejandro Martín; Secular models and Kozai resonance for planets in coorbital non-coplanar motion; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 460; 1; 21-7-2016; 966-9790035-87111365-2966CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/mnras/article/460/1/966/2608941info:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stw938info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:30:17Zoai:ri.conicet.gov.ar:11336/183144instacron: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 10:30:17.507CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Secular models and Kozai resonance for planets in coorbital non-coplanar motion
title Secular models and Kozai resonance for planets in coorbital non-coplanar motion
spellingShingle Secular models and Kozai resonance for planets in coorbital non-coplanar motion
Giuppone, Cristian Andrés
ANALYTICAL
CELESTIAL MECHANICS
DYNAMICAL EVOLUTION AND STABILITY
METHODS
PLANETARY SYSTEMS
PLANETS AND SATELLITES
title_short Secular models and Kozai resonance for planets in coorbital non-coplanar motion
title_full Secular models and Kozai resonance for planets in coorbital non-coplanar motion
title_fullStr Secular models and Kozai resonance for planets in coorbital non-coplanar motion
title_full_unstemmed Secular models and Kozai resonance for planets in coorbital non-coplanar motion
title_sort Secular models and Kozai resonance for planets in coorbital non-coplanar motion
dc.creator.none.fl_str_mv Giuppone, Cristian Andrés
Leiva, Alejandro Martín
author Giuppone, Cristian Andrés
author_facet Giuppone, Cristian Andrés
Leiva, Alejandro Martín
author_role author
author2 Leiva, Alejandro Martín
author2_role author
dc.subject.none.fl_str_mv ANALYTICAL
CELESTIAL MECHANICS
DYNAMICAL EVOLUTION AND STABILITY
METHODS
PLANETARY SYSTEMS
PLANETS AND SATELLITES
topic ANALYTICAL
CELESTIAL MECHANICS
DYNAMICAL EVOLUTION AND STABILITY
METHODS
PLANETARY SYSTEMS
PLANETS AND SATELLITES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work, we construct and test an analytical model and a semi-analytical secular model for two planets locked in a coorbital non-coplanar motion, comparing the results with the restricted three-body problem. The analytical average model replicates the numerical N-body integrations, even for moderate eccentricities (≲0.3) and inclinations (≲10°), except for the regions corresponding to quasi-satellite and Lidov-Kozai configurations. Furthermore, this model is also useful in the restricted three-body problem, assuming a very low mass ratio between the planets. We also describe a four-degree-of-freedom semi-analytical model valid for any type of coorbital configuration in a wide range of eccentricities and inclinations. Using an N-body integrator, we have found that the phase space of the general three-body problem is different to the restricted case for an inclined system, and we establish the location of the Lidov-Kozai equilibrium configurations depending on the mass ratio. We study the stability of periodic orbits in the inclined systems, and find that apart from the robust configurations, L4, AL4 and QS, it is possible to HARBOUR two Earth-like planets in orbits previously identified as unstable (U) and also in Euler L3 configurations, with bounded chaos.
Fil: Giuppone, Cristian Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina
Fil: Leiva, Alejandro Martín. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; Argentina
description In this work, we construct and test an analytical model and a semi-analytical secular model for two planets locked in a coorbital non-coplanar motion, comparing the results with the restricted three-body problem. The analytical average model replicates the numerical N-body integrations, even for moderate eccentricities (≲0.3) and inclinations (≲10°), except for the regions corresponding to quasi-satellite and Lidov-Kozai configurations. Furthermore, this model is also useful in the restricted three-body problem, assuming a very low mass ratio between the planets. We also describe a four-degree-of-freedom semi-analytical model valid for any type of coorbital configuration in a wide range of eccentricities and inclinations. Using an N-body integrator, we have found that the phase space of the general three-body problem is different to the restricted case for an inclined system, and we establish the location of the Lidov-Kozai equilibrium configurations depending on the mass ratio. We study the stability of periodic orbits in the inclined systems, and find that apart from the robust configurations, L4, AL4 and QS, it is possible to HARBOUR two Earth-like planets in orbits previously identified as unstable (U) and also in Euler L3 configurations, with bounded chaos.
publishDate 2016
dc.date.none.fl_str_mv 2016-07-21
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/11336/183144
Giuppone, Cristian Andrés; Leiva, Alejandro Martín; Secular models and Kozai resonance for planets in coorbital non-coplanar motion; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 460; 1; 21-7-2016; 966-979
0035-8711
1365-2966
CONICET Digital
CONICET
url http://hdl.handle.net/11336/183144
identifier_str_mv Giuppone, Cristian Andrés; Leiva, Alejandro Martín; Secular models and Kozai resonance for planets in coorbital non-coplanar motion; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 460; 1; 21-7-2016; 966-979
0035-8711
1365-2966
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/mnras/article/460/1/966/2608941
info:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stw938
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
application/pdf
dc.publisher.none.fl_str_mv Wiley Blackwell Publishing, Inc
publisher.none.fl_str_mv Wiley Blackwell Publishing, Inc
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
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score 13.070432

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