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Title:
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Bifurcation of relative equilibria of the (1+3)-body problem
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Author:
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Corbera Subirana, Montserrat; Cors Iglesias, Josep Maria; Llibre, Jaume; Moeckel, Richard
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Other authors:
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Universitat de Vic - Universitat Central de Catalunya. Facultat de Ciències i Tecnologia |
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Notes:
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We study the relative equilibria of the limit case of the pla-
nar Newtonian 4{body problem when three masses tend to zero, the
so-called (1 + 3){body problem. Depending on the values of the in-
nitesimal masses the number of relative equilibria varies from ten to
fourteen. Always six of these relative equilibria are convex and the oth-
ers are concave. Each convex relative equilibrium of the (1 + 3){body
problem can be continued to a unique family of relative equilibria of the
general 4{body problem when three of the masses are su ciently small
and every convex relative equilibrium for these masses belongs to one of
these six families. |
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Subject(s):
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-Matemàtica |
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Rights:
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Tots els drets reservats
(c) Society for Industrial and Applied Mathematics
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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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Society for Industrial and Applied Mathematics
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