A Four-body convex central configuration with perpendicular diagonals is necessarily a kite
We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199340 |
| Acceso en línea: | https://ddd.uab.cat/record/199340 https://dx.doi.org/urn:doi:10.1007/s12346-017-0238-z |
| Access Level: | acceso abierto |
| Palabra clave: | Central configuration N-body problem N-vortex problem |
| Sumario: | We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem. |
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