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math.DS2022
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …
math.DS2014
Relative equilibria in quasi-homogeneous three body problems
John A. Arredondo
In this paper we find the families of relative equilibria for the three body problem in the plane, when the interaction between the bodies is given by a quasi-homogeneous potential…
math.DS2014★ 13 cited
Dynamics in the Schwarzschild isosceles three body problem
John A. Arredondo, Ernesto Perez-Chavela, Cristina Stoica
The Schwarzschild potential, defined as U(r)=-A/r-B/r^3, where r is the distance between two mass points and A,B>0, models astrophysical and stellar dynamics systems in a classical…