Convex symmetric rectangular pentagon central configurations
A convex rectangular pentagon, also called house-shaped, is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, whe...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:307714 |
| Acceso en línea: | https://ddd.uab.cat/record/307714 https://dx.doi.org/urn:doi:10.1016/j.cnsns.2024.108250 |
| Access Level: | acceso embargado |
| Palabra clave: | Central configurations 5-body problem |
| Sumario: | A convex rectangular pentagon, also called house-shaped, is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, where the five bodies are in a symmetric house-shaped configuration. That is, when the five bodies are located at the vertices of a convex rectangular pentagon, and moreover, the body not belonging to the two parallel sides lies along the symmetry line. |
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