50 citations · 288 across the 19 of their papers we have counts for
22 papers
N-body choreographies on a p-limacon curve
Manuel Fernandez-Guasti, Toshiaki Fujiwara, Ernesto Perez-Chavela +1
We consider an --body problem under a harmonic potential of the form . A -limaçon curve is a planar curve parametrized by given by $a(…
Mass independent shapes for relative equilibria in the two dimensional constant positive curved three body problem
Toshiaki Fujiwara, Ernesto Perez-Chavela
In the planar three-body problem under Newtonian potential, it is well known that any masses, located at the vertices of an equilateral triangle generates a relative equilibrium, k…
Three-body relative equilibria on II: Extended Lagrangian configurations
Toshiaki Fujiwara, Ernesto Perez-Chavela
This is a natural continuation of our first paper \cite{pre}, where we develop a new geometrical technique which allow us to study relative equilibria on the two sphere. We conside…
Three-body relative equilibria on I: Euler configurations
Toshiaki Fujiwara, Ernesto Perez-Chavela
Using the properties of the angular momentum, we develop a new geometrical technique to study relative equilibria for a system of --bodies with positive masses, moving on the tw…
Relative equilibria for the positive curved body problem
Ernesto Pérez-Chavela, Juan Manuel Sánchez Cerritos
We consider the body problem defined on surfaces of constant positive curvature. For the 5 and 7 body problem in a collinear symmetric configuration we obtain initial positions…
Relative Equilibria in curved restricted 4-body problems
Florin Diacu, Sawsan Alhowaity
We consider the curved 4-body problems on spheres and hyperbolic spheres. After obtaining a criterion for the existence of quadrilateral configu- rations on the equator of the sphe…