4 citations · 4 across the 1 of their papers we have counts for
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A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance
Eduardo Gueron
A Hamiltonian that approaches the study of the three-body problem in general relativity is obtained. We use it to study the relativistic version of the circular restricted three-bo…
Interacting Geodesics: Binary Systems around a Black Hole
Eduardo Gueron, Patricio S. Letelier
We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Ne…
Stability and chaos around multipolar deformed bodies: A general relativistic approach
Eduardo Gueron, Patricio S. Letelier
The exact solution to the Einstein equations that represents a static axially symmetric source deformed by an internal quadrupole is considered. By using the Poincare section metho…
Chaos in Pseudo-Newtonian Black Holes with Halos
E. Gueron, P. S. Letelier
The Newtonian as well as the special relativistic dynamics are used to study the stability of orbits of a test particle moving around a black hole plus a dipolar halo. The black ho…