dc.contributor |
Universitat de Vic - Universitat Central de Catalunya. Facultat de Ciències i Tecnologia |
dc.contributor.author |
Corbera Subirana, Montserrat |
dc.contributor.author |
Cors Iglesias, Josep Maria |
dc.contributor.author |
Llibre, Jaume |
dc.contributor.author |
Moeckel, Richard |
dc.date |
2015 |
dc.identifier |
Corbera, M., Cors, J., Llibre, J., & Moeckel, R. (2015). Bifurcation of relative equilibria of the (1+3)-body problem. SIAM Journal on Mathematical Analysis, 47(2), 1377-1404. |
dc.identifier |
0036-1410 |
dc.identifier |
http://hdl.handle.net/10854/4046 |
dc.identifier |
https://doi.org/10.1137/140978661 |
dc.identifier.uri |
http://hdl.handle.net/10854/4046 |
dc.description |
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. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Society for Industrial and Applied Mathematics |
dc.rights |
Tots els drets reservats |
dc.rights |
(c) Society for Industrial and Applied Mathematics |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Matemàtica |
dc.title |
Bifurcation of relative equilibria of the (1+3)-body problem |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/submittedVersion |