79 citations · 1.5k across the 112 of their papers we have counts for
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Comparing the geometry of the basins of attraction, the speed and the efficiency of several numerical methods
Euaggelos E. Zotos, Md Sanam Suraj, Amit Mittal +1
We use simple equations in order to compare the basins of attraction on the complex plane, corresponding to a large collection of numerical methods, of several order. Two cases are…
Revealing the Newton-Raphson basins of convergence in the circular pseudo-Newtonian Sitnikov problem
Euaggelos E. Zotos, Md Sanam Suraj, Mamta Jain +1
In this paper we numerically explore the convergence properties of the pseudo-Newtonian circular restricted problem of three and four primary bodies. The classical Newton-Raphson i…
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…
Fractal basins of convergence of libration points in the planar Copenhagen problem with a repulsive quasi-homogeneous Manev-type potential
Md Sanam Suraj, Euaggelos E. Zotos, Charanpreet Kaur +2
The Newton-Raphson basins of convergence, corresponding to the coplanar libration points (which act as attractors), are unveiled in the Copenhagen problem, where instead of the New…
On the Newton-Raphson basins of convergence of the out-of-plane equilibrium points in the Copenhagen problem with oblate primaries
Euaggelos E. Zotos
The Copenhagen case of the circular restricted three-body problem with oblate primary bodies is numerically investigated by exploring the Newton-Raphson basins of convergence, rela…
Investigating the basins of convergence in the circular Sitnikov three-body problem with non-spherical primaries
Euaggelos E. Zotos, Md Sanam Suraj, Rajiv Aggarwal +1
In this work we numerically explore the Newton-Raphson basins of convergence, related to the equilibrium points, in the Sitnikov three-body problem with non-spherical primaries. Th…