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The regular or chaotic character of orbits of stars moving in the meridional plane (R,z) of an axially symmetric elliptical galaxy with a dense, massive spherical nucleus and a dark matter halo component is under investigation. In…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos , Nicolaos D. Caranicolas , Efthimia G. Doni

We use the planar circular restricted three-body problem in order to numerically investigate the orbital dynamics of orbits of a spacecraft, or a comet, or an asteroid in the Saturn-Titan system in a scattering region around the Titan. The…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

The dynamical evolution of barred galaxies depends crucially on the fraction and their spacial distribution of chaotic orbits in them. In order to distinguish between the two kinds of orbits, we use the Smaller Alignment Index (SALI)…

Astrophysics · Physics 2007-05-23 T. Manos , E. Athanassoula

We determine the character of orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric time-independent disk galaxy model with a spherical central nucleus. In particular, we try to reveal the influence of the value of…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

In this article, we present a galactic gravitational model of three degrees of freedom (3D), in order to study and reveal the character of the orbits of the stars, in a binary stellar system composed of a primary quiet or active galaxy and…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

The ordered or chaotic character of orbits of stars moving in the meridional $(R,z)$ plane of an analytic axisymmetric time-independent disk galaxy model with an additional spherically symmetric central nucleus is investigated. Our aim is…

Astrophysics of Galaxies · Physics 2018-02-28 Euaggelos E. Zotos

We study the distinction and quantification of chaotic and regular motion in a time-dependent Hamiltonian barred galaxy model. Recently, a strong correlation was found between the strength of the bar and the presence of chaotic motion in…

Chaotic Dynamics · Physics 2015-03-20 T. Manos , T. Bountis , Ch. Skokos

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 in the central parts of a galaxy, for values of…

Astrophysics of Galaxies · Physics 2012-06-13 Euaggelos E. Zotos

We explore the regular or chaotic nature of orbits of stars moving in the meridional (R,z) plane of an axially symmetric time-dependent disk galaxy model with a central, spherically symmetric nucleus. In particular, mass is linearly…

Astrophysics of Galaxies · Physics 2018-03-14 Euaggelos E. Zotos

We apply the Smaller ALignment Index (SALI) method to a 4--dimensional mapping of accelerator dynamics in order to distinguish rapidly, reliably and accurately between ordered and chaotic motion. The main advantage of this index is that it…

Accelerator Physics · Physics 2008-11-26 T. Bountis , Ch. Skokos

We investigate the regular or chaotic nature of star orbits moving in the meridional plane of an axially symmetric galactic model with a disk and a spherical nucleus. We study the influence of some important parameters of the dynamical…

Astrophysics of Galaxies · Physics 2013-07-17 Euaggelos E. Zotos , Daniel D. Carpintero

We apply the smaller alignment index (SALI) method for distinguishing between ordered and chaotic motion in some simple conservative dynamical systems. In particular we compute the SALI for ordered and chaotic orbits in a 2D and a 4D…

Chaotic Dynamics · Physics 2007-05-23 Ch. Skokos , Ch. Antonopoulos , T. C. Bountis , M. N. Vrahatis

We explore the escape dynamics in open Hamiltonian systems with multiple channels of escape continuing the work initiated in Part I. A thorough numerical investigation is conducted distinguishing between trapped (ordered and chaotic) and…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

The escape mechanism of the four hill potential is explored. A thorough numerical investigation takes place in several types of two-dimensional planes and also in a three-dimensional subspace of the entire four-dimensional phase space in…

Chaotic Dynamics · Physics 2017-09-28 Euaggelos E. Zotos

We elucidate the escape properties of stars moving in the combined gravitational field of a binary system of two interacting dwarf spheroidal galaxies. A galaxy model of three degrees of freedom is adopted for describing the dynamical…

Astrophysics of Galaxies · Physics 2018-03-21 Euaggelos E. Zotos , Christof Jung

We investigate the regular or chaotic nature of orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric galactic model with a flat disk and a central, non spherical and massive nucleus. In particular, we study the…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos , Nicolaos D. Caranicolas

We explore the nature of orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric galactic model with a disk, a spherical nucleus, and a flat biaxial dark matter halo component. In particular, we study the influence of…

Astrophysics of Galaxies · Physics 2014-04-17 Euaggelos E. Zotos

We formulate a model that describes the escape dynamics in a leaky chaotic system in which the size of the leak depends on the number of the in-falling particles. The basic motivation of this work is the astrophysical process which…

Earth and Planetary Astrophysics · Physics 2017-08-02 Tamás Kovács , József Vanyó

Studies of dynamical stability (chaotic versus regular motion) in galactic dynamics often rely on static analytical models of the total gravitational potential. Potentials based upon self-consistent N-body simulations offer more realistic…

Astrophysics of Galaxies · Physics 2016-04-08 Rubens E. G. Machado , T. Manos

One of the fundamental tasks in the study of dynamical systems is the discrimination between regular and chaotic behavior. Over the years several methods of chaos detection have been developed. Some of them, such as the construction of the…

Chaotic Dynamics · Physics 2020-07-03 Henok Tenaw Moges