We show the existence of central configurations in the planar five-body problem where four
bodies are located at the vertices of a rhombus, called rhombus plus one central …

We show the existence of a family of stacked central configurations in the planar five-body
problem with a special property. Three bodies m_1 m 1, m_2 m 2 and m_3 m 3, ordered …

We consider central configurations of the strictly spatial five-body problem with a
homogeneous potential which are equilateral chains, ie, configurations with four sequential …

In this paper, we study the inverse problem of collinear central configurations of a 5-body
problem: given a collinear configuration q=(− s− 1,− 1, r, 1, t+ 1) of 5 bodies, does there exist …

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 …

In this paper we consider the planar non-collinear central configurations with n bodies with
power-law potentials like\(\sum m_im_jr^{-a}\),\(a> 0\), in which is possible to remove one …

In this paper, we study two classes of symmetric central configurations in the 5-vortex
problem, namely the case with three vortices located at the vertices of an equilateral triangle …

Central configurations give rise to self-similar solutions to the Newtonian N-body problem
and play important roles in understanding its complicated dynamics. Even the simple …

In this paper, we generalize some results discussed by X. Yu and S. Zhu [J. Nonlinear. Sci.,
31 (2021), 11] concerning stacked central configurations. We can deal with the general …

An equilateral pentagon is a polygon in the plane with five sides of equal length. In this
paper we classify the central configurations of the 5-body problem having the five bodies at …