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Uniqueness results for co-circular central configurations for power-law potentials

Autor
Cors, J.; Hall, G.; Roberts, G.
Tipus d'activitat
Article en revista
Revista
Physica. D, Nonlinear phenomena
Data de publicació
2014-05-10
Volum
280/281
Pàgina inicial
44
Pàgina final
47
DOI
https://doi.org/10.1016/j.physd.2014.05.003 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/27798 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0167278914000943 Obrir en finestra nova
Resum
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 a...
Citació
Cors, J.; Hall, G.; Roberts, G. Uniqueness results for co-circular central configurations for power-law potentials. "Physica. D, Nonlinear phenomena", 10 Maig 2014, vol. 280/281, p. 44-47.
Paraules clau
Central configuration, Co-circular central configuration, n-body problem, n-vortex problem

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