Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects

Autores
Zanardi, Macarena; de Elia, Gonzalo Carlos; Dugaro, Agustin; Coronel, Carla Florencia
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study nodal librations of outer particles in the framework of the elliptical restricted three-body problem including generalrelativity (GR) effects. From an analytical treatment based on secular interactions up to quadrupole level, we derive equationsthat define the nodal libration region of an outer test particle, which depends on the physical and orbital parameters of the bodiesof the system. From this, we analyze how the GR constrains the semimajor axis of outer test particles that experience nodal librations under the effects of an inner planet around a single stellar component. Such an upper limit of the semimajor axis, which is called 2,lim , depends on the mass of the star s, the mass 1, the semimajor axis 1, and the eccentricity 1 of the inner planet, and the eccentricity 2 of the outer test particle. On the one hand, our results show that the greater 1,1 , and 2 and the smaller s, the greater the value of 2,lim. On the other hand, for fixed s, 1, 1, and 2, 2,lim does not strongly depend on1, except for large values of such an orbital parameter. We remark that N-body experiments of particular scenarios that include GR show results consistent with the analytical criteria derived in the present research. Moreover, the study of hypothetical small body populations of real systems composed of a single star and an inner planetary-mass companion show that the GR effects can play a very important role in their global dynamics.
Fil: Zanardi, Macarena. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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
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: 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: Coronel, Carla Florencia. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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
Materia
PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY
MINOR PLANETS ASTEROIDS: GENERAL
RELATIVISTIC PROCESSES
METHODS: ANALYTICAL
METHODS: NUMERICAL
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:11336/232881
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/232881
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Constraints to the semimajor axis of outer particles with nodal librations by general relativity effectsZanardi, Macarenade Elia, Gonzalo CarlosDugaro, AgustinCoronel, Carla FlorenciaPLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITYMINOR PLANETS ASTEROIDS: GENERALRELATIVISTIC PROCESSESMETHODS: ANALYTICALMETHODS: NUMERICALhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study nodal librations of outer particles in the framework of the elliptical restricted three-body problem including generalrelativity (GR) effects. From an analytical treatment based on secular interactions up to quadrupole level, we derive equationsthat define the nodal libration region of an outer test particle, which depends on the physical and orbital parameters of the bodiesof the system. From this, we analyze how the GR constrains the semimajor axis of outer test particles that experience nodal librations under the effects of an inner planet around a single stellar component. Such an upper limit of the semimajor axis, which is called 2,lim , depends on the mass of the star s, the mass 1, the semimajor axis 1, and the eccentricity 1 of the inner planet, and the eccentricity 2 of the outer test particle. On the one hand, our results show that the greater 1,1 , and 2 and the smaller s, the greater the value of 2,lim. On the other hand, for fixed s, 1, 1, and 2, 2,lim does not strongly depend on1, except for large values of such an orbital parameter. We remark that N-body experiments of particular scenarios that include GR show results consistent with the analytical criteria derived in the present research. Moreover, the study of hypothetical small body populations of real systems composed of a single star and an inner planetary-mass companion show that the GR effects can play a very important role in their global dynamics.Fil: Zanardi, Macarena. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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; ArgentinaFil: 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: 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: Coronel, Carla Florencia. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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; ArgentinaWiley Blackwell Publishing, Inc2023-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/232881Zanardi, Macarena; de Elia, Gonzalo Carlos; Dugaro, Agustin; Coronel, Carla Florencia; Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 525; 2; 10-2023; 2125-21340035-8711CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/mnras/article/525/2/2125/7237479info:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stad2345info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:10:19Zoai:ri.conicet.gov.ar:11336/232881instacron: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:34982025-10-22 12:10:20.102CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
title Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
spellingShingle Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
Zanardi, Macarena
PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY
MINOR PLANETS ASTEROIDS: GENERAL
RELATIVISTIC PROCESSES
METHODS: ANALYTICAL
METHODS: NUMERICAL
title_short Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
title_full Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
title_fullStr Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
title_full_unstemmed Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
title_sort Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
dc.creator.none.fl_str_mv Zanardi, Macarena
de Elia, Gonzalo Carlos
Dugaro, Agustin
Coronel, Carla Florencia
author Zanardi, Macarena
author_facet Zanardi, Macarena
de Elia, Gonzalo Carlos
Dugaro, Agustin
Coronel, Carla Florencia
author_role author
author2 de Elia, Gonzalo Carlos
Dugaro, Agustin
Coronel, Carla Florencia
author2_role author
author
author
dc.subject.none.fl_str_mv PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY
MINOR PLANETS ASTEROIDS: GENERAL
RELATIVISTIC PROCESSES
METHODS: ANALYTICAL
METHODS: NUMERICAL
topic PLANETS AND SATELLITES: DYNAMICAL EVOLUTION AND STABILITY
MINOR PLANETS ASTEROIDS: GENERAL
RELATIVISTIC PROCESSES
METHODS: ANALYTICAL
METHODS: NUMERICAL
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 study nodal librations of outer particles in the framework of the elliptical restricted three-body problem including generalrelativity (GR) effects. From an analytical treatment based on secular interactions up to quadrupole level, we derive equationsthat define the nodal libration region of an outer test particle, which depends on the physical and orbital parameters of the bodiesof the system. From this, we analyze how the GR constrains the semimajor axis of outer test particles that experience nodal librations under the effects of an inner planet around a single stellar component. Such an upper limit of the semimajor axis, which is called 2,lim , depends on the mass of the star s, the mass 1, the semimajor axis 1, and the eccentricity 1 of the inner planet, and the eccentricity 2 of the outer test particle. On the one hand, our results show that the greater 1,1 , and 2 and the smaller s, the greater the value of 2,lim. On the other hand, for fixed s, 1, 1, and 2, 2,lim does not strongly depend on1, except for large values of such an orbital parameter. We remark that N-body experiments of particular scenarios that include GR show results consistent with the analytical criteria derived in the present research. Moreover, the study of hypothetical small body populations of real systems composed of a single star and an inner planetary-mass companion show that the GR effects can play a very important role in their global dynamics.
Fil: Zanardi, Macarena. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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
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: 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: Coronel, Carla Florencia. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. 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
description We study nodal librations of outer particles in the framework of the elliptical restricted three-body problem including generalrelativity (GR) effects. From an analytical treatment based on secular interactions up to quadrupole level, we derive equationsthat define the nodal libration region of an outer test particle, which depends on the physical and orbital parameters of the bodiesof the system. From this, we analyze how the GR constrains the semimajor axis of outer test particles that experience nodal librations under the effects of an inner planet around a single stellar component. Such an upper limit of the semimajor axis, which is called 2,lim , depends on the mass of the star s, the mass 1, the semimajor axis 1, and the eccentricity 1 of the inner planet, and the eccentricity 2 of the outer test particle. On the one hand, our results show that the greater 1,1 , and 2 and the smaller s, the greater the value of 2,lim. On the other hand, for fixed s, 1, 1, and 2, 2,lim does not strongly depend on1, except for large values of such an orbital parameter. We remark that N-body experiments of particular scenarios that include GR show results consistent with the analytical criteria derived in the present research. Moreover, the study of hypothetical small body populations of real systems composed of a single star and an inner planetary-mass companion show that the GR effects can play a very important role in their global dynamics.
publishDate 2023
dc.date.none.fl_str_mv 2023-10
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/11336/232881
Zanardi, Macarena; de Elia, Gonzalo Carlos; Dugaro, Agustin; Coronel, Carla Florencia; Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 525; 2; 10-2023; 2125-2134
0035-8711
CONICET Digital
CONICET
url http://hdl.handle.net/11336/232881
identifier_str_mv Zanardi, Macarena; de Elia, Gonzalo Carlos; Dugaro, Agustin; Coronel, Carla Florencia; Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects; Wiley Blackwell Publishing, Inc; Monthly Notices of the Royal Astronomical Society; 525; 2; 10-2023; 2125-2134
0035-8711
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/525/2/2125/7237479
info:eu-repo/semantics/altIdentifier/doi/10.1093/mnras/stad2345
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 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 12.982451

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