Asteroidal evolution between Jupiter and Saturn region

The stability of the Jupiter-Saturn region is analyzed, in the context of the four body problem, by direct numerical integration of the equations of motion of a group of fictitious asteroids. The results indicate that the region is highly unstable with the exception of two resonance points: the 3/2...

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Autores principales: Aarseth, S. A., Beaugé, C.
Formato: Articulo Comunicacion
Lenguaje:Español
Publicado: 1987
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/141591
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id I19-R120-10915-141591
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spelling I19-R120-10915-1415912024-09-06T18:51:09Z http://sedici.unlp.edu.ar/handle/10915/141591 Asteroidal evolution between Jupiter and Saturn region Aarseth, S. A. Beaugé, C. 1987 2022-09-06T13:10:15Z es Astronomía Galaxia The stability of the Jupiter-Saturn region is analyzed, in the context of the four body problem, by direct numerical integration of the equations of motion of a group of fictitious asteroids. The results indicate that the region is highly unstable with the exception of two resonance points: the 3/2 and the 1/1 Saturn commensurabilities. Two ejection mechanisms were found: one extremely fast (∼ 10² yrs.) produced by direct close encounters with the planets, and in which the orbits of the bodies turn hyperbolic. The other mechanism (∼ 10⁴ yrs.), is due to the existence of regions of chaotic motion formed by resonance relations. In this case, the asteroids suffer secular changes in the eccentricity and, after close encounters with one of the perturbers, finally escapes. The behaviour of the stable points of the region, is totally different. In the S:3/2 resonance, the results show a small region of stability, in which the motion of the bodies is quasi-periodic. The same thing can be said for the S:1/1 resonance, in which the flux of asteroids to the commensurability and the following regularization of their orbits seems to support the idea of possible Troyans associated with Saturn. Asociación Argentina de Astronomía Articulo Comunicacion http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Astronomía
Galaxia
spellingShingle Astronomía
Galaxia
Aarseth, S. A.
Beaugé, C.
Asteroidal evolution between Jupiter and Saturn region
topic_facet Astronomía
Galaxia
description The stability of the Jupiter-Saturn region is analyzed, in the context of the four body problem, by direct numerical integration of the equations of motion of a group of fictitious asteroids. The results indicate that the region is highly unstable with the exception of two resonance points: the 3/2 and the 1/1 Saturn commensurabilities. Two ejection mechanisms were found: one extremely fast (∼ 10² yrs.) produced by direct close encounters with the planets, and in which the orbits of the bodies turn hyperbolic. The other mechanism (∼ 10⁴ yrs.), is due to the existence of regions of chaotic motion formed by resonance relations. In this case, the asteroids suffer secular changes in the eccentricity and, after close encounters with one of the perturbers, finally escapes. The behaviour of the stable points of the region, is totally different. In the S:3/2 resonance, the results show a small region of stability, in which the motion of the bodies is quasi-periodic. The same thing can be said for the S:1/1 resonance, in which the flux of asteroids to the commensurability and the following regularization of their orbits seems to support the idea of possible Troyans associated with Saturn.
format Articulo
Comunicacion
author Aarseth, S. A.
Beaugé, C.
author_facet Aarseth, S. A.
Beaugé, C.
author_sort Aarseth, S. A.
title Asteroidal evolution between Jupiter and Saturn region
title_short Asteroidal evolution between Jupiter and Saturn region
title_full Asteroidal evolution between Jupiter and Saturn region
title_fullStr Asteroidal evolution between Jupiter and Saturn region
title_full_unstemmed Asteroidal evolution between Jupiter and Saturn region
title_sort asteroidal evolution between jupiter and saturn region
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/141591
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