For the power-law potential n-body problem, we study a special kind of central
configurations where all the masses lie on a circle and the center of mass coincides with the …

This research investigates centered co-circular central configurations in the general power-
law potential n-body problem. Firstly, there are no centered co-circular central configurations …

In this article we study the planar 4-body problem under homogeneous power-law potentials
where the interaction between the bodies is given by r− a,(the Newtonian case …

We study the co-circular central configurations of the n-body problem for which the center of
mass and the center of the common circle coincide. In particular, we prove that there are no …

We study the neighborhood of the equal mass regular polygon relative equilibria in the N-
body probem, and show that this relative equilibirum is isolated among the co-circular …

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 …

We prove for generalisations of quasi-homogeneous n-body problems with centre of mass
zero and n-body problems in spaces of negative constant Gaussian curvature that if the …

This research investigates centered co-circular central configurations in the general power-
law potential $ n $-body problem. Firstly, there are no such configurations when all masses …

This paper examines the existence of centered co-circular central configurations in the
general power-law potential n-body problem. We prove the nonexistence of such …