39 citations · 236 across the 17 of their papers we have counts for
17 papers
On the dynamics of a seventh-order generalized Hénon-Heiles potential
F. L. Dubeibe, Euaggelos E. Zotos, Wei Chen
This paper deals with the derivation and analysis of a seventh-order generalization of the Hénon-Heiles potential. The new potential has axial and reflection symmetries, and finite…
Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC 4010
F. L. Dubeibe, Sandra M. Martínez-Sicacha, Guillermo A. González
In the present paper, using a generalization of the Miyamoto and Nagai potential we adjusted the observed rotation curves of three specific spiral galaxies to the analytical circul…
Equilibrium points and basins of convergence in the triangular restricted four-body problem with a radiating body
J. E. Osorio-Vargas, Guillermo A. González, F. L. Dubeibe
The dynamics of the four-body problem have attracted increasing attention in recent years. In this paper, we extend the basic equilateral four-body problem by introducing the effec…
Orbit classification in an equal-mass non-spinning binary black hole pseudo-Newtonian system
Euaggelos E. Zotos, Fredy L. Dubeibe, Guillermo A. González
The dynamics of a test particle in a non-spinning binary black hole system of equal masses is numerically investigated. The binary system is modeled in the context of the pseudo-Ne…
Orbital dynamics in the post-Newtonian planar circular Sun-Jupiter system
Euaggelos E. Zotos, F. L. Dubeibe
The theory of the post-Newtonian (PN) planar circular restricted three-body problem is used for numerically investigating the orbital dynamics of a test particle (e.g., a comet, as…
Basins of convergence of equilibrium points in the generalized Henon-Heiles system
Euaggelos E. Zotos, A. Riaño-Doncel, F. L. Dubeibe
We numerically explore the Newton-Raphson basins of convergence, related to the libration points (which act as attractors of the convergence process), in the generalized Hénon-Heil…