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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/9957
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:39:15Zoai: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:34982025-09-29 10:39:15.824CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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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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