On equilateral central configurations in the \(1+4\) -body problem now in Communications in Nonlinear Science and Numerical Simulation from our colleagues E. Barrabés and J.M. Cors and their collaborators M. Álvarez-Ramírez.
Check it out here to learn more:https://www.sciencedirect.com/science/article/pii/S1007570425007749
On Nested Central Configurations of the 3n Body Problem, now in Nonlinear Science from our colleague J.M. Cors and his collaborators E. Barrabés, A. C. Fernandes and C. Vidal.
Check it out here to learn more:
https://link.springer.com/article/10.1007/s00332-025-10162-7
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.
Barcelona Dynamical Systems