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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Formato: | Articulo Preprint |
Lenguaje: | Inglés |
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2010
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/93645 http://link.springer.com/article/10.1007%2Fs10569-010-9290-6 |
Aporte de: |
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I19-R120-10915-93645 |
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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 |
work_keys_str_mv |
AT cachuchofernando chirikovdiffusionintheasteroidalthreebodyresonance522 AT cincottapablomiguel chirikovdiffusionintheasteroidalthreebodyresonance522 AT ferrazmellosylvio chirikovdiffusionintheasteroidalthreebodyresonance522 |
bdutipo_str |
Repositorios |
_version_ |
1764820491548229633 |