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Master's Dissertation
DOI
10.11606/D.45.2009.tde-26012012-212155
Document
Author
Full name
Antonio Carlos Fernandes
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2009
Supervisor
Committee
Ragazzo, Clodoaldo Grotta (President)
Leandro, Eduardo Shirlippe Goes
Mello, Luis Fernando de Osório
Title in Portuguese
O problema de Kepler, uma solução coreográfica para o problema de três corpos e alguns resultados sobre configurações centrais
Keywords in Portuguese
Configuracao Central.
Problema de Kepler
Solucao Coreografica
Abstract in Portuguese
No presente trabalho apresentamos algumas soluçõesoes clássicas para o problema de dois e três corpos. Uma solução memorável para o problema de três corpos, na qual os corpos perfazem uma coreografia em forma de Oito, esta soluçãoo foi encontrada em 2000 por Montgomery e Chenciner. Por fim abordamos um pouco do problema clássico de n-Corpos e suas soluções particulares.
Title in English
The Kepler's problem, a coreographic solution for the three body problem and some results about central configurations.
Keywords in English
Central Configurations.
Choreographic Solution
Kepler problem
Abstract in English
In this work we present some classical solutions for the Newtonian problem with two and three bodies. A remarkable solution for the three body problem, found by Montgomery and Chenciner, in which each body has an eight-shaped orbit is presented. Finally some particular solutions of the n-body problem and the so called central configurations, are presented and discussed.
 
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Diss_6524728.pdf (767.61 Kbytes)
Publishing Date
2012-03-13
 
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