The Laplace relation in the asteroidal belt

The motion of asteroids which, together with Jupiter and Saturn, satisfy the commensurability relation n-3n'+2n''=0 (where the mean motions correspond to the asteroid, Jupiter and Saturn, respectively) has been studied. Through a generalization of Wilkens's method possible librat...

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Detalles Bibliográficos
Autores principales: Fernández, S., Beaugé, C.
Formato: Articulo Comunicacion
Lenguaje:Español
Publicado: 1987
Materias:
Astronomía
Galaxia
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/141593
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-141593
record_format dspace
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
Fernández, S.
Beaugé, C.
The Laplace relation in the asteroidal belt
topic_facet Astronomía
Galaxia
description The motion of asteroids which, together with Jupiter and Saturn, satisfy the commensurability relation n-3n'+2n''=0 (where the mean motions correspond to the asteroid, Jupiter and Saturn, respectively) has been studied. Through a generalization of Wilkens's method possible librators were sought, and five asteroids were found in such a condition. These results were then checked by direct numerical integration of the equations of motion for one hundred thousand years, finding temporary libration in three asteroids. We conclude that this particular triple commensurability affects very significantly the dynamics of these bodies (in some cases, chaotic motion was observed), even though no sign of orbital evolution was found. This paper will be published elsewhere.
format Articulo
Comunicacion
author Fernández, S.
Beaugé, C.
author_facet Fernández, S.
Beaugé, C.
author_sort Fernández, S.
title The Laplace relation in the asteroidal belt
title_short The Laplace relation in the asteroidal belt
title_full The Laplace relation in the asteroidal belt
title_fullStr The Laplace relation in the asteroidal belt
title_full_unstemmed The Laplace relation in the asteroidal belt
title_sort laplace relation in the asteroidal belt
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/141593
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bdutipo_str Repositorios
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