Título:
|
Bifurcation of relative equilibria of the (1+3)-body problem
|
Autor/a:
|
Corbera Subirana, Montserrat; Cors Iglesias, Josep Maria; Llibre, Jaume; Moeckel, Richard
|
Otros autores:
|
Universitat de Vic - Universitat Central de Catalunya. Facultat de Ciències i Tecnologia |
Notas:
|
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. |
Materia(s):
|
-Matemàtica |
Derechos:
|
Tots els drets reservats
(c) Society for Industrial and Applied Mathematics
|
Tipo de documento:
|
Artículo info:eu-repo/submittedVersion |
Editor:
|
Society for Industrial and Applied Mathematics
|
Compartir:
|
|