New classes of spatial central configurations for the n+3-body problem


Autoria(s): MELLO, Luis Fernando; FERNANDES, Antonio Carlos
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

In this paper, we show the existence of new families of spatial central configurations for the n + 3-body problem, n >= 3. We study spatial central configurations where n bodies are at the vertices of a regular n-gon T and the other three bodies are symmetrically located on the straight line that is perpendicular to the plane that contains T and passes through the center of T. The results have simple and analytic proofs. (c) 2010 Elsevier Ltd. All rights reserved.

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq[476672/2009-0]

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

CAPES

Identificador

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.12, n.1, p.723-730, 2011

1468-1218

http://producao.usp.br/handle/BDPI/30768

10.1016/j.nonrwa.2010.07.013

http://dx.doi.org/10.1016/j.nonrwa.2010.07.013

Idioma(s)

eng

Publicador

PERGAMON-ELSEVIER SCIENCE LTD

Relação

Nonlinear Analysis-real World Applications

Direitos

restrictedAccess

Copyright PERGAMON-ELSEVIER SCIENCE LTD

Palavras-Chave #Spatial central configurations #n+3-body problem #Nested central configurations #N-BODY PROBLEM #Mathematics, Applied
Tipo

article

original article

publishedVersion