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Title:
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On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base
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Author:
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Corbera Subirana, Montserrat; Llibre, Jaume
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Other authors:
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Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
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Notes:
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Abstract. In this paper we prove the existence of central con gurations of
the n + 2{body problem where n equal masses are located at the vertices of
a regular n{gon and the remaining 2 masses, which are not necessarily equal,
are located on the straight line orthogonal to the plane containing the n{gon
passing through its center. Here this kind of central con gurations is called
bi{pyramidal central con gurations. In particular, we prove that if the masses
mn+1 and mn+2 and their positions satisfy convenient relations, then the
con guration is central. We give explicitly those relations. |
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Subject(s):
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-Matemàtica |
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Rights:
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(c) American Institute of Mathematical Science
Tots els drets reservats
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Document type:
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Article
info:eu-repo/publishedVersion |
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Published by:
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American Institute of Mathematical Science
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