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Title:
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On the central configurations in the spatial 5-body problem with four equal masses
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Author:
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Alvarez, Martha; Corbera Subirana, Montserrat; Llibre, Jaume
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Other authors:
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Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació |
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Notes:
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We analyze the families of central configurations of the spatial 5-body problem
with four masses equal to 1 when the fifth mass m varies from 0 to +∞. In particular we
continue numerically, taking m as a parameter, the central configurations (which all are
symmetric) of the restricted spatial (4+1)-body problem with four equal masses and m = 0
to the spatial 5-body problem with equal masses (i.e. m = 1), and viceversa we continue
the symmetric central configurations of the spatial 5-body problem with five equal masses
to the restricted (4 + 1)-body problem with four equal masses. Additionally we continue
numerically the symmetric central configurations of the spatial 5-body problem with four
equal masses starting with m = 1 and ending in m = +∞, improving the results of Alvarez-
Ramírez et al. (Discrete Contin Dyn Syst Ser S 1: 505–518, 2008). We find four bifurcation
values of m where the number of central configuration changes. We note that the central
configurations of all continued families varying m from 0 to +∞ are symmetric. |
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Subject(s):
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-Matemàtica
-Hiperespai |
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Rights:
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Tots els drets reservats
(c) Springer (The original publication is available at www.springerlink.com)
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Document type:
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Article
info:eu-repo/submittedVersion |
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Published by:
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Springer
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