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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/232881
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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 Técnicas2025-09-29T10:38:10Zoai: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:34982025-09-29 10:38:10.39CONICET 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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13.070432 |