8 citations · 11 across the 5 of their papers we have counts for
5 papers
Equilibrium points and their linear stability in the planar equilateral restricted four-body problem: A review and new results
José Alejandro Zepeda Ramírez, Martha Alvarez-Ramírez
In this work, we revisit the planar restricted four-body problem to study the dynamics of an infinitesimal mass under the gravitational force produced by three heavy bodies with un…
Ejection-collision orbits in two degrees of freedom problems in celestial mechanics
Martha Alvarez-Ramírez, Esther Barrabés, Mario Medina +1
In a general setting of a Hamiltonian system with two degrees of freedom and assuming some properties for the undergoing potential, we study the dynamics close and tending to a sin…
Non-integrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory
P. Acosta-Humánez, M. Alvarez-Ramírez, T. Stuchi
We show the non-integrability of the three-parameter Armburster-Guckenheimer-Kim quartic Hamiltonian using Morales-Ramis theory, with the exception of the three already known integ…
The stability of the triangular libration points for the plane circular restricted three-body problem with light pressure
M. Alvarez-Ramírez, J. K. Formiga, R. V. de Moraes +2
We study the fourth-order stability of the triangular libration points in the absence of resonance for the three-body problem when the infinitesimal mass is affected not only by gr…
Non-integrability of some few body problems in two degrees of freedom
Primitivo Acosta-Humanez, Martha Alvarez-Ramirez, Joaquin Delgado
The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with focus in analyzing the non--integrability of various problems of few bodies in Cele…