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http://hdl.handle.net/1843/37846| Tipo: | Artigo de Periódico |
| Título: | A family of three nested regular polygon central configurations |
| Autor(es): | Marcelo Domingos Marchesin |
| Resumen: | We prove the existence of a highly symmetric family of central configurations in which 16 non-negative masses move in concentric circular motions in p=3 rings of radii a1,a2,a3. On the first ring, there are four bodies of equal masses in a square configuration. On the second ring there are also four bodies of equal masses, each of which located on the bisectors of the angles formed by each pair of the position vectors of two consecutive bodies of the first ring. On the third ring, there are eight bodies of equal masses, each of which is located on the bisectors of the angles formed by each pair of position vectors of two consecutive bodies of the previous two rings. We study the inverse problem, i.e., given three positive radii a1,a2,a3 we determine the values of the corresponding non-negative masses m1, m2 and m3, for which the above described configuration is central. We present some particular interesting cases and study some geometrical features of such configurations. We end this paper proposing several lines of possible further generalizations. |
| Asunto: | Problema de muitos corpos Simetria (Matemática) Mecânica celeste |
| Idioma: | eng |
| País: | Brasil |
| Editor: | Universidade Federal de Minas Gerais |
| Sigla da Institución: | UFMG |
| Departamento: | ICX - DEPARTAMENTO DE MATEMÁTICA |
| Tipo de acceso: | Acesso Restrito |
| Identificador DOI: | https://doi.org/10.1007/s10509-019-3648-3 |
| URI: | http://hdl.handle.net/1843/37846 |
| Fecha del documento: | sep-2019 |
| metadata.dc.url.externa: | https://link.springer.com/article/10.1007%2Fs10509-019-3648-3 |
| metadata.dc.relation.ispartof: | Astrophysics and Space Science |
| Aparece en las colecciones: | Artigo de Periódico |
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