| Full text | |
| Author(s): |
Barrabes, E.
;
Cors, J. M.
;
Fernandes, A. C.
;
Vidal, C.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | JOURNAL OF NONLINEAR SCIENCE; v. 35, n. 4, p. 18-pg., 2025-08-01. |
| Abstract | |
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) | |
| FAPESP's process: | 24/00971-0 - Study of relative equilibria in the planar n-body and n-vortex problem |
| Grantee: | Clodoaldo Grotta Ragazzo |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |