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Published articles	2 records found	Search took 0.01 seconds.

8 p, 240.0 KB

On centered co-circular central configurations of the n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one. [...]
2019 - DOI (Digital Object Identifier)

10.1007/s10884-018-9699-2
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2053-2060

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13 p, 252.7 KB

On strictly convex central configurations of the 2n-body problem / Barrabés Vera, Esther (Universitat de Girona. Escola Politècnica Superior) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior d'Enginyeria de Manresa)
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
2019 - DOI (Digital Object Identifier)

10.1007/s10884-018-9708-5
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2293-2304

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