On the homographic solutions of the three-body problem

The object of this raper is to prove the following theorem: The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction inversely proportional to any power rα of the distance rare: (i) The pure dilatations. (ii)The collinear solutions, (iii) The equilater...

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Autor principal: Cesco, Reynaldo Pedro
Formato: Articulo Comunicacion
Lenguaje:Inglés
Publicado: 1960
Materias:
Ciencias Astronómicas
three-body problem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/74447
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-74447
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spelling I19-R120-10915-744472024-04-29T17:19:17Z http://sedici.unlp.edu.ar/handle/10915/74447 On the homographic solutions of the three-body problem Cesco, Reynaldo Pedro 1960 2019-04-24T13:03:24Z en Ciencias Astronómicas three-body problem The object of this raper is to prove the following theorem: The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction inversely proportional to any power rα of the distance rare: (i) The pure dilatations. (ii)The collinear solutions, (iii) The equilateral solutions, (iv) The Isosceles solutions of BANACHIEWITZ. (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. 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 Inglés
topic Ciencias Astronómicas
three-body problem
spellingShingle Ciencias Astronómicas
three-body problem
Cesco, Reynaldo Pedro
On the homographic solutions of the three-body problem
topic_facet Ciencias Astronómicas
three-body problem
description The object of this raper is to prove the following theorem: The only homographic solutions of the three-body problem of celestial mechanics with a law of attraction inversely proportional to any power rα of the distance rare: (i) The pure dilatations. (ii)The collinear solutions, (iii) The equilateral solutions, (iv) The Isosceles solutions of BANACHIEWITZ. (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 Cesco, Reynaldo Pedro
author_facet Cesco, Reynaldo Pedro
author_sort Cesco, Reynaldo Pedro
title On the homographic solutions of the three-body problem
title_short On the homographic solutions of the three-body problem
title_full On the homographic solutions of the three-body problem
title_fullStr On the homographic solutions of the three-body problem
title_full_unstemmed On the homographic solutions of the three-body problem
title_sort on the homographic solutions of the three-body problem
publishDate 1960
url http://sedici.unlp.edu.ar/handle/10915/74447
work_keys_str_mv AT cescoreynaldopedro onthehomographicsolutionsofthethreebodyproblem
_version_ 1807220377200361472

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