dc.contributor.author |
Cors Iglesias, Josep Maria |
dc.contributor.author |
Hall, Glen Richard |
dc.contributor.author |
Roberts, Gareth E. |
dc.date |
2014 |
dc.identifier |
https://ddd.uab.cat/record/150681 |
dc.identifier |
urn:10.1016/j.physd.2014.05.003 |
dc.identifier |
urn:oai:ddd.uab.cat:150681 |
dc.identifier |
urn:gsduab:3785 |
dc.identifier |
urn:scopus_id:84901295074 |
dc.identifier |
urn:wos_id:000338611600005 |
dc.identifier |
urn:articleid:01672789v280-281p44 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Physica D. Nonlinear phenomena ; Vol. 280-281 (2014), p. 44-47 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Central configuration |
dc.subject |
N-body problem |
dc.subject |
N-vortex problem |
dc.subject |
Co-circular central configuration |
dc.title |
Uniqueness results for co-circular central configurations for power-law potentials |
dc.type |
Article |
dc.description.abstract |
Agraïments: The authors would like to thank the two reviewers for their helpful comments concerning this work. GR was supported by a grant from the National Science Foundation (DMS-1211675). |
dc.description.abstract |
For a class of potential functions including those used for the planar n-body and n-vortex problems, we investigate co-circular central configurations whose center of mass coincides with the center of the circle containing the bodies. Useful equations are derived that completely describe the problem. Using a topological approach, it is shown that for any choice of positive masses (or circulations), if such a central configuration exists, then it is unique. It quickly follows that if the masses are all equal, then the only solution is the regular n-gon. For the planar n-vortex problem and any choice of the vorticities, we show that the only possible cocircular central configuration with center of vorticity at the center of the circle is the regular n-gon with equal vorticities. |