On the problem of homographic solutions of the three-body problem

This paper deals with the problem of the existence of homographic solutions of the three-body problem in the case of the law of the inverse cube of the mutual distances. It is discussed a solution given by Dr. R.P. Cesco in his paper "Sobre las soluciones homográficas del problema de los tres c...

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Detalles Bibliográficos
Autor principal: Altavista, Carlos
Formato: Articulo Comunicacion
Lenguaje:Español
Publicado: 1965
Materias:
Astronomía
Galaxias
problema de los tres cuerpos
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/92119
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-92119
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Astronomía
Galaxias
problema de los tres cuerpos
spellingShingle Astronomía
Galaxias
problema de los tres cuerpos
Altavista, Carlos
On the problem of homographic solutions of the three-body problem
topic_facet Astronomía
Galaxias
problema de los tres cuerpos
description This paper deals with the problem of the existence of homographic solutions of the three-body problem in the case of the law of the inverse cube of the mutual distances. It is discussed a solution given by Dr. R.P. Cesco in his paper "Sobre las soluciones homográficas del problema de los tres cuerpos", Pub. Observ. Astron. La Plata, Serie Astronómica, Tomo XXV , Nº2,1959. We quote from this paper: "The object of this paper is to prove the following theorem:The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction proportional to any power r α of the distance r are - (I) The pure dilatation. (II) The collinear solutions. (III) The equilateral solutions. (IV) The isosceles solutions of Banachiewitz for α = 3, and (V) The scalene solutions given in this note, also for α=3 ,the first three kinds being the only planar solutions for any value of α".
format Articulo
Comunicacion
author Altavista, Carlos
author_facet Altavista, Carlos
author_sort Altavista, Carlos
title On the problem of homographic solutions of the three-body problem
title_short On the problem of homographic solutions of the three-body problem
title_full On the problem of homographic solutions of the three-body problem
title_fullStr On the problem of homographic solutions of the three-body problem
title_full_unstemmed On the problem of homographic solutions of the three-body problem
title_sort on the problem of homographic solutions of the three-body problem
publishDate 1965
url http://sedici.unlp.edu.ar/handle/10915/92119
work_keys_str_mv AT altavistacarlos ontheproblemofhomographicsolutionsofthethreebodyproblem
bdutipo_str Repositorios
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