Some considerations on the homographic solutions of the three body problem

This paper deals with the problem of homographic solutions in the case of three bodies. A solution of the problem of tree bodies is homographic (Wintner, "The Analitical Foundations of Celestial Mechanics" page 284) if the configuration of the thee bodies is similar for every time t. The c...

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Autor principal: Altavista, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 1962
Materias:
Ciencias Astronómicas
homographic solutions
three bodies
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/80933
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-80933
record_format dspace
spelling I19-R120-10915-809332024-05-23T18:41:23Z http://sedici.unlp.edu.ar/handle/10915/80933 Some considerations on the homographic solutions of the three body problem Algunas consideraciones sobre el problema de las soluciones homográficas en el problema de los tres cuerpos Altavista, Carlos Alberto 1962 2019-09-11T13:01:12Z en Ciencias Astronómicas homographic solutions three bodies This paper deals with the problem of homographic solutions in the case of three bodies. A solution of the problem of tree bodies is homographic (Wintner, "The Analitical Foundations of Celestial Mechanics" page 284) if the configuration of the thee bodies is similar for every time t. The coordinate system of reference needs not to be inertial. Then, we introduce an "heliocentric" coordinate system, with the origin placed in one of the three masses, say m3.   Asociación Argentina de Astronomía Articulo Articulo 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 52-57
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
homographic solutions
three bodies
spellingShingle Ciencias Astronómicas
homographic solutions
three bodies
Altavista, Carlos Alberto
Some considerations on the homographic solutions of the three body problem
topic_facet Ciencias Astronómicas
homographic solutions
three bodies
description This paper deals with the problem of homographic solutions in the case of three bodies. A solution of the problem of tree bodies is homographic (Wintner, "The Analitical Foundations of Celestial Mechanics" page 284) if the configuration of the thee bodies is similar for every time t. The coordinate system of reference needs not to be inertial. Then, we introduce an "heliocentric" coordinate system, with the origin placed in one of the three masses, say m3.  
format Articulo
Articulo
author Altavista, Carlos Alberto
author_facet Altavista, Carlos Alberto
author_sort Altavista, Carlos Alberto
title Some considerations on the homographic solutions of the three body problem
title_short Some considerations on the homographic solutions of the three body problem
title_full Some considerations on the homographic solutions of the three body problem
title_fullStr Some considerations on the homographic solutions of the three body problem
title_full_unstemmed Some considerations on the homographic solutions of the three body problem
title_sort some considerations on the homographic solutions of the three body problem
publishDate 1962
url http://sedici.unlp.edu.ar/handle/10915/80933
work_keys_str_mv AT altavistacarlosalberto someconsiderationsonthehomographicsolutionsofthethreebodyproblem
AT altavistacarlosalberto algunasconsideracionessobreelproblemadelassolucioneshomograficasenelproblemadelostrescuerpos
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