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Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats

Articles	3 registres trobats

36 p, 1.9 MB

On the existence of symmetric bicircular central configurations of the 3n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper, we consider central configurations of the planar 3n-body problem consisting of n masses at the vertices of a regular n-gon inscribed in a circle of radius r and 2n masses at the vertices of a second (not necessarily regular) concentric 2n-gon inscribed in a circle of radius ar which are symmetric in the sense that the set of positions of the 3n masses and the set of the corresponding masses are invariant under the action of a finite subgroup of O(2). [...]
2021 - DOI (Digital Object Identifier)

10.1007/s00332-021-09743-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 88

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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, 611.4 KB

The co-circular central configurations of the 5 body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n = 3. [...]
2015 - DOI (Digital Object Identifier)

10.1007/s10884-015-9429-y
Journal of dynamics and differential equations, Vol. 27 (2015) , p. 55-67

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