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Four-body co-circular central configurations

Autor
Cors, J.; Roberts, G.
Tipus d'activitat
Article en revista
Revista
Nonlinearity
Data de publicació
2012-02
Volum
25
Número
2
Pàgina inicial
343
Pàgina final
370
DOI
https://doi.org/10.1088/0951-7715/25/2/343 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/21123 Obrir en finestra nova
URL
http://iopscience.iop.org/0951-7715/25/2/343/ Obrir en finestra nova
Resum
We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths. Two symmetric families, the kite and isosceles trapezoid, are investigated extensively. We also prove that a co-circular central configuration requires a specific ordering of the masses a...
Citació
Cors, J.; Roberts, G. Four-body co-circular central configurations. "Nonlinearity", Febrer 2012, vol. 25, núm. 2, p. 343-370.
Paraules clau
Convex central configurations, Relative equilibria

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