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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Academia Brasileira de Ciências
2014-03-01
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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 |
_version_ |
1725774209362165760 |