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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Formato: | Articulo Comunicacion |
Lenguaje: | Español |
Publicado: |
1965
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/92119 |
Aporte de: |
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I19-R120-10915-92119 |
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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 |
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 |
_version_ |
1764820491057496069 |