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 |
https://ddd.uab.cat/record/145289 |
dc.identifier |
urn:10.1137/140978661 |
dc.identifier |
urn:oai:ddd.uab.cat:145289 |
dc.identifier |
urn:gsduab:4191 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/02a1ddde-d3b7-4c8d-96ca-2ffa96e725a9 |
dc.identifier |
urn:scopus_id:84928957977 |
dc.identifier |
urn:articleid:10957154v47n2p1377 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2008-03437 |
dc.relation |
Ministerio de Economía y Competitividad MTM2013-40998-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
dc.relation |
European Commission 316338 |
dc.relation |
European Commission 318999 |
dc.relation |
SIAM Journal on Mathematical Analysis ; Vol. 47 Núm. 2 (2015), p. 1377-1404 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
(1 n)-body problem |
dc.subject |
Celestial Mechanics |
dc.subject |
Relative equilibria |
dc.title |
Bifurcation of relative equilibria of the (1 3)-body problem |
dc.type |
Article |
dc.description.abstract |
Agraïments: FEDER-UNAB10-4E-378. R. Moeckel's research is supported by NSF grant DMS-1208908. |
dc.description.abstract |
We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1 3)-body problem. Depending on the values of the infinitesimal masses the number of relative equilibria varies from ten to fourteen. Six of these relative equilibria are always convex, and the others 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 sufficiently small and every convex relative equilibrium for these masses belongs to one of these six families. |