A note on the Dziobek central configurations
For the Newtonian n-body problem in R^n-2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a reg...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145368 |
| Acceso en línea: | https://ddd.uab.cat/record/145368 https://dx.doi.org/urn:doi:10.1090/S0002-9939-2015-12502-6 |
| Access Level: | acceso abierto |
| Palabra clave: | Central configuration N-body problem |
| Sumario: | For the Newtonian n-body problem in R^n-2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a regular (n-2)-simplex together with an arbitrary mass located at its barycenter. |
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