New classes of spatial central configurations for the 7-body problem

New classes of spatial central configurations for the 7-body problem

In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles , and one body is located out of the parallel distinct planes containing and . Th...

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Main Authors: ANTONIO CARLOS FERNANDES, LUIS FERNANDO MELLO
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2014-03-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
configuração espacial
problema de 7 corpos
configuração central
configuração central empilhada
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000100003&lng=en&tlng=en
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spelling doaj-414a162a7d2647b0b4f732e0883c8b872020-11-24T22:20:44ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências1678-26902014-03-018613910.1590/0001-37652014107412S0001-37652014000100003New classes of spatial central configurations for the 7-body problemANTONIO CARLOS FERNANDESLUIS FERNANDO MELLOIn this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles , and one body is located out of the parallel distinct planes containing and . The results have simple and analytic proofs.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000100003&lng=en&tlng=enconfiguração espacialproblema de 7 corposconfiguração centralconfiguração central empilhada
collection DOAJ
language English
format Article
sources DOAJ
author ANTONIO CARLOS FERNANDES
LUIS FERNANDO MELLO
spellingShingle ANTONIO CARLOS FERNANDES
LUIS FERNANDO MELLO
New classes of spatial central configurations for the 7-body problem
Anais da Academia Brasileira de Ciências
configuração espacial
problema de 7 corpos
configuração central
configuração central empilhada
author_facet ANTONIO CARLOS FERNANDES
LUIS FERNANDO MELLO
author_sort ANTONIO CARLOS FERNANDES
title New classes of spatial central configurations for the 7-body problem
title_short New classes of spatial central configurations for the 7-body problem
title_full New classes of spatial central configurations for the 7-body problem
title_fullStr New classes of spatial central configurations for the 7-body problem
title_full_unstemmed New classes of spatial central configurations for the 7-body problem
title_sort new classes of spatial central configurations for the 7-body problem
publisher Academia Brasileira de Ciências
series Anais da Academia Brasileira de Ciências
issn 1678-2690
publishDate 2014-03-01
description In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles , and one body is located out of the parallel distinct planes containing and . The results have simple and analytic proofs.
topic configuração espacial
problema de 7 corpos
configuração central
configuração central empilhada
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000100003&lng=en&tlng=en
work_keys_str_mv AT antoniocarlosfernandes newclassesofspatialcentralconfigurationsforthe7bodyproblem
AT luisfernandomello newclassesofspatialcentralconfigurationsforthe7bodyproblem
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