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

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 investi...

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Autores principales: Cachucho, Fernando, Cincotta, Pablo Miguel, Ferraz Mello, Sylvio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2010
Materias:
Astronomía
Chaotic motion
Chirikov theory
Asteroidal belt
Three body resonances
Chaotic diffusion rate
Hadjidemetriou’s symplectic mapping
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93645
http://link.springer.com/article/10.1007%2Fs10569-010-9290-6
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-93645
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
Chaotic motion
Chirikov theory
Asteroidal belt
Three body resonances
Chaotic diffusion rate
Hadjidemetriou’s symplectic mapping
spellingShingle Astronomía
Chaotic motion
Chirikov theory
Asteroidal belt
Three body resonances
Chaotic diffusion rate
Hadjidemetriou’s symplectic mapping
Cachucho, Fernando
Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
topic_facet Astronomía
Chaotic motion
Chirikov theory
Asteroidal belt
Three body resonances
Chaotic diffusion rate
Hadjidemetriou’s symplectic mapping
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.
format Articulo
Preprint
author Cachucho, Fernando
Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
author_facet Cachucho, Fernando
Cincotta, Pablo Miguel
Ferraz Mello, Sylvio
author_sort Cachucho, Fernando
title Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
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)
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/93645
http://link.springer.com/article/10.1007%2Fs10569-010-9290-6
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AT cincottapablomiguel chirikovdiffusionintheasteroidalthreebodyresonance522
AT ferrazmellosylvio chirikovdiffusionintheasteroidalthreebodyresonance522
bdutipo_str Repositorios
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