New spatial central configurations in the 5-body problem
In this paper we show the existence of new families of convex and concave spatial central configurations for the 5-body problem. The bodies studied here are arranged as follows: three bodies are at the vertices of an equilateral triangle T, and the other two bodies are on the line passing through th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academia Brasileira de Ciências
2011-09-01
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| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000300002 |
| Summary: | In this paper we show the existence of new families of convex and concave spatial central configurations for the 5-body problem. The bodies studied here are arranged as follows: three bodies are at the vertices of an equilateral triangle T, and the other two bodies are on the line passing through the barycenter of T that is perpendicular to the plane that contains T.<br>Neste artigo estudamos a existência de novas famílias de configurações centrais espaciais dos tipos côncavas ou convexas para o problema de 5 corpos. Os corpos estudados aqui estão dispostos da seguinte maneira: três corpos estão sobre os vértices de um triângulo equilátero T e os outros dois corpos estão sobre a reta que passa pelo baricentro de T e é perpendicular ao plano que contém T. |
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| ISSN: | 0001-3765 1678-2690 |