17 citations · 51 across the 7 of their papers we have counts for
8 papers
Generalized periodic orbits in some restricted three-body problems
Rafael Ortega, Lei Zhao
We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this s…
Regularized variational principles for the perturbed Kepler problem
Vivina Barutello, Rafael Ortega, Gianmaria Verzini
The goal of the paper is to develop a method that will combine the use of variational techniques with regularization methods in order to study existence and multiplicity results fo…
Stability of periodic solutions of the N-vortex problem in general domains
Björn Gebhard, Rafael Ortega
We investigate stability properties of a type of periodic solutions of the -vortex problem on general domains . The solutions in question bifurcate from r…
Periodic oscillators, isochronous centers and resonance
Rafael Ortega, David Rojas
An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and…
A proof of Bertrand's theorem using the theory of isochronous potentials
Rafael Ortega, David Rojas
We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation
Alberto Boscaggin, Rafael Ortega, Lei Zhao
We consider a Kepler problem in dimension two or three, with a time-dependent -periodic perturbation. We prove that for any prescribed positive integer , there exist at least…