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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Academia Brasileira de Ciências
2014-03-01
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Series: | Anais da Academia Brasileira de Ciências |
Subjects: | |
Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000100003&lng=en&tlng=en |
Summary: | 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. |
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ISSN: | 1678-2690 |