Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)

Autores
Cachucho, Fernando; Cincotta, Pablo Miguel; Ferraz Mello, Sylvio
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and across the separatrices of the (5, −2, −2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to 108 years.
Fil: Cachucho, Fernando. Universidade de Sao Paulo; Brasil
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Astrofísica de La Plata; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Ferraz Mello, Sylvio. Universidade de Sao Paulo; Brasil
Materia
Chaotic Motion
Chirikov Theory
Asteroidal Belt
Three Body Resonances
Chaotic Diffusion Rate
Hadjidemetriou’S Symplectic Mapping
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:11336/9957
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/9957
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)Cachucho, FernandoCincotta, Pablo MiguelFerraz Mello, SylvioChaotic MotionChirikov TheoryAsteroidal BeltThree Body ResonancesChaotic Diffusion RateHadjidemetriou’S Symplectic Mappinghttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and across the separatrices of the (5, −2, −2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to 108 years.Fil: Cachucho, Fernando. Universidade de Sao Paulo; BrasilFil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Astrofísica de La Plata; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaFil: Ferraz Mello, Sylvio. Universidade de Sao Paulo; BrasilSpringer2010-09info: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/11336/9957Cachucho, Fernando; Cincotta, Pablo Miguel; Ferraz Mello, Sylvio ; Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2); Springer; Celestial Mechanics & Dynamical Astronomy; 108; 1; 9-2010; 35-580923-2958enginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-010-9290-6info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10569-010-9290-6info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1009.3558info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:11:30Zoai:ri.conicet.gov.ar:11336/9957instacron: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 12:11:31.249CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
title Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
spellingShingle Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
Cachucho, Fernando
Chaotic Motion
Chirikov Theory
Asteroidal Belt
Three Body Resonances
Chaotic Diffusion Rate
Hadjidemetriou’S Symplectic Mapping
title_short Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
title_full Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
title_fullStr Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
title_full_unstemmed Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
title_sort Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
dc.creator.none.fl_str_mv Cachucho, Fernando
Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
author Cachucho, Fernando
author_facet Cachucho, Fernando
Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
author_role author
author2 Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
author2_role author
author
dc.subject.none.fl_str_mv Chaotic Motion
Chirikov Theory
Asteroidal Belt
Three Body Resonances
Chaotic Diffusion Rate
Hadjidemetriou’S Symplectic Mapping
topic Chaotic Motion
Chirikov Theory
Asteroidal Belt
Three Body Resonances
Chaotic Diffusion Rate
Hadjidemetriou’S Symplectic Mapping
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and across the separatrices of the (5, −2, −2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to 108 years.
Fil: Cachucho, Fernando. Universidade de Sao Paulo; Brasil
Fil: Cincotta, Pablo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Astrofísica de La Plata; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina
Fil: Ferraz Mello, Sylvio. Universidade de Sao Paulo; Brasil
description The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and across the separatrices of the (5, −2, −2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to 108 years.
publishDate 2010
dc.date.none.fl_str_mv 2010-09
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/11336/9957
Cachucho, Fernando; Cincotta, Pablo Miguel; Ferraz Mello, Sylvio ; Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2); Springer; Celestial Mechanics & Dynamical Astronomy; 108; 1; 9-2010; 35-58
0923-2958
url http://hdl.handle.net/11336/9957
identifier_str_mv Cachucho, Fernando; Cincotta, Pablo Miguel; Ferraz Mello, Sylvio ; Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2); Springer; Celestial Mechanics & Dynamical Astronomy; 108; 1; 9-2010; 35-58
0923-2958
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-010-9290-6
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10569-010-9290-6
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1009.3558
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 Springer
publisher.none.fl_str_mv Springer
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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