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Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure
- E. Zotos
- Mathematics
- 4 May 2016
In this paper we use the planar circular restricted three-body problem where one of the primary bodies is an oblate spheroid or an emitter of radiation in order to determine the basins of attraction…
Revealing the basins of convergence in the planar equilateral restricted four-body problem
- E. Zotos
- Mathematics
- 23 February 2017
The planar equilateral restricted four-body problem where two of the primaries have equal masses is used in order to determine the Newton-Raphson basins of convergence associated with the equilibrium…
Basins of convergence of equilibrium points in the pseudo-Newtonian planar circular restricted three-body problem
- E. Zotos
- Physics, Mathematics
- 20 September 2017
The Newton-Raphson basins of attraction, associated with the libration points (attractors), are revealed in the pseudo-Newtonian planar circular restricted three-body problem, where the primaries…
Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity
- E. Zotos
- Mathematics
- 21 June 2017
Escape and collision dynamics in the planar equilateral restricted four-body problem
- E. Zotos
- Physics
- 30 August 2016
Classifying orbits in the classical Hénon–Heiles Hamiltonian system
- E. Zotos
- Physics
- 1 February 2015
The Hénon–Heiles potential is undoubtedly one of the most simple, classical and characteristic Hamiltonian systems. The aim of this work was to reveal the influence of the value of the total orbital…
ORDER AND CHAOS IN A THREE-DIMENSIONAL BINARY SYSTEM OF INTERACTING GALAXIES
- E. Zotos
- Physics
- 23 April 2012
We present a galactic gravitational model of three degrees of freedom in order to investigate and reveal the behavior of orbits in a binary quasar system. The two quasars are hosted in a pair of…
Comparing the fractal basins of attraction in the Hill problem with oblateness and radiation
- E. Zotos
- Mathematics
- 12 September 2017
The basins of convergence, associated with the roots (attractors) of a complex equation, are revealed in the Hill problem with oblateness and radiation, using a large variety of numerical methods.…
Basins of attraction of equilibrium points in the planar circular restricted five-body problem
- E. Zotos, Md Sanam Suraj
- Mathematics
- 2 January 2018
We numerically explore the Newton-Raphson basins of convergence, related to the libration points (which act as attractors), in the planar circular restricted five-body problem (CR5BP). The evolution…
Trapped and Escaping Orbits in an Axially Symmetric Galactic-Type Potential
- E. Zotos
- PhysicsPublications of the Astronomical Society of…
- 4 April 2012
Abstract In the present article, we investigate the behavior of orbits in a time-independent axially symmetric galactic-type potential. This dynamical model can be considered to describe the motion…
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