Sundman's series and related problems

One of the topics of the international competition opened in 1885 for the prize of Sweden's King Oscar II was,as it is well known, to find the solution of the n-body problem of the celestial mechanics by means of power series uniformly convergent for all values of t, Later works and difficultie...

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Autor principal: Cesco, Reynaldo Pedro
Formato: Articulo
Lenguaje:Inglés
Publicado: 1961
Materias:
Ciencias Astronómicas
Karl Sundman
problem of the celestial mechanics
theory of analytical functions
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/76398
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-76398
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spelling I19-R120-10915-763982024-05-07T17:47:54Z http://sedici.unlp.edu.ar/handle/10915/76398 Sundman's series and related problems Cesco, Reynaldo Pedro 1961 2019-06-13T13:30:28Z en Ciencias Astronómicas Karl Sundman problem of the celestial mechanics theory of analytical functions One of the topics of the international competition opened in 1885 for the prize of Sweden's King Oscar II was,as it is well known, to find the solution of the n-body problem of the celestial mechanics by means of power series uniformly convergent for all values of t, Later works and difficulties fastened the idea that the solution of this problem for n≥ 3 could not bo attained without the introduction of now and complicated trascendental functions. However,in 1912, Karl Sundman, Head of Helsingsfors's Observatory for many years, gave the exact solution of the three-body problem, not certainly in the sense of that of Euler, Lagrange and others, but in the sense of the theory of analytical functions, with the only tool of known theorems of mathematical analysis and without introducing any new special function. 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 32-35
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Karl Sundman
problem of the celestial mechanics
theory of analytical functions
spellingShingle Ciencias Astronómicas
Karl Sundman
problem of the celestial mechanics
theory of analytical functions
Cesco, Reynaldo Pedro
Sundman's series and related problems
topic_facet Ciencias Astronómicas
Karl Sundman
problem of the celestial mechanics
theory of analytical functions
description One of the topics of the international competition opened in 1885 for the prize of Sweden's King Oscar II was,as it is well known, to find the solution of the n-body problem of the celestial mechanics by means of power series uniformly convergent for all values of t, Later works and difficulties fastened the idea that the solution of this problem for n≥ 3 could not bo attained without the introduction of now and complicated trascendental functions. However,in 1912, Karl Sundman, Head of Helsingsfors's Observatory for many years, gave the exact solution of the three-body problem, not certainly in the sense of that of Euler, Lagrange and others, but in the sense of the theory of analytical functions, with the only tool of known theorems of mathematical analysis and without introducing any new special function.
format Articulo
Articulo
author Cesco, Reynaldo Pedro
author_facet Cesco, Reynaldo Pedro
author_sort Cesco, Reynaldo Pedro
title Sundman's series and related problems
title_short Sundman's series and related problems
title_full Sundman's series and related problems
title_fullStr Sundman's series and related problems
title_full_unstemmed Sundman's series and related problems
title_sort sundman's series and related problems
publishDate 1961
url http://sedici.unlp.edu.ar/handle/10915/76398
work_keys_str_mv AT cescoreynaldopedro sundmansseriesandrelatedproblems
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