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On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base

On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base
 
Corbera Subirana, Montserrat ; Llibre, Jaume
2013

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Nom: artconlli_a2013_corbera_montserrat_existence.pdf
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Enllaç permanent: http://hdl.handle.net/10854/2202
 
Versió de l'editor: https://doi.org/doi:10.3934/dcds.2013.33.1049
 

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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 ...»»»»
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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(c) American Institute of Mathematical Science
 
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Citació Bibliogràfica:

Corbera Subirana, M., & Llibre, J. (2013). On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base. Discrete and Continuous Dynamical Systems- Series A, 33(3), 1049-1060.