| Texto completo | |
| Autor(es): |
Barrabes, E.
;
Cors, J. M.
;
Fernandes, A. C.
;
Vidal, C.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF NONLINEAR SCIENCE; v. 35, n. 4, p. 18-pg., 2025-08-01. |
| Resumo | |
In this work, we consider the existence of (3, n)-crowns in the classical Newtonian 3n-body problem, which are central configurations formed by three groups of n bodies with the same mass within each group, located at the vertices of three concentric regular polygons. We consider the case with dihedral symmetry, called nested (3, n)-crowns, where the vertices of the polygons are aligned. We characterize the set of admissible radii for the polygons for which nested (3, n)-crowns exist. We conclude with numerical evidences that suggest uniqueness for each set of three masses. (AU) | |
| Processo FAPESP: | 24/00971-0 - Estudo de equilíbrios relativos nos problemas de n corpos e n vórtices no plano |
| Beneficiário: | Clodoaldo Grotta Ragazzo |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |