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We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then…

Chaotic Dynamics · Physics 2007-05-23 Ch. L. Vozikis , H. Varvoglis , K. Tsiganis

The disks of galaxies are primarily stellar systems, and fundamentally dynamical entities. Thus, to fully understand galactic disks, we must study their stellar kinematics as well as their morphologies. Observational techniques have now…

Astrophysics · Physics 2007-05-23 Michael R. Merrifield , Konrad Kuijken

We perform a systematic combined photometric and kinematic analysis of a sample of globular clusters under different relaxation conditions, based on their core relaxation time (as listed in available catalogs), by means of two well-known…

Astrophysics of Galaxies · Physics 2015-03-19 A. Zocchi , G. Bertin , A. L. Varri

We estimated the Galactic model parameters by means of a new approach based on the comparison of the observed space density functions per absolute magnitude interval with a unique density law for each population individually, and via the…

Astrophysics · Physics 2009-11-10 S. Karaali , S. Bilir , E. Hamzaoglu

Modeling the orbital dynamics of objects in galactic disks is crucial to understanding the stability and evolution of disk galaxies. While studies of galactic orbits are largely dominated by $N$-body simulations, perturbative analytical…

Astrophysics of Galaxies · Physics 2024-12-24 Sena Ghobadi

The motion of a satellite around a planet can be studied by the Hill model, which is a modification of the restricted three body problem pertaining to motion of a satellite around a planet. Although the dynamics of the circular Hill model…

Earth and Planetary Astrophysics · Physics 2015-03-19 G. Voyatzis , I. Gkolias , H. Varvoglis

We use the Smaller ALignment Index (SALI) method of chaos detection, to study the global dynamics of conservative dynamical systems described by differential or difference equations. In particular, we consider the well--known 2 and…

Chaotic Dynamics · Physics 2014-11-18 T. Manos , Ch. Skokos , E. Athanassoula , T. Bountis

The evolution of chaotic motion in a galactic dynamical model with a disk, a dense nucleus and a flat biaxial dark halo component is investigated. Two cases are studied: (i) the case where the halo component is oblate and (ii) the case…

Astrophysics of Galaxies · Physics 2012-04-04 Nicolaos D. Caranicolas , Euaggelos E. Zotos

The measured rotation velocity profiles of mature spiral galaxies are successfully described with a gravitational model consisting of a thin axisymmetric disk of finte radius. The disk is assumed uniformly thin but with variable radial mass…

Astrophysics · Physics 2008-03-06 James Q. Feng , C. F. Gallo

We investigate regular and chaotic two-dimensional (2D) and three-dimensional (3D) orbits of stars in models of a galactic potential consisting in a disk, a halo and a bar, to find the origin of boxy components, which are part of the bar or…

Astrophysics of Galaxies · Physics 2017-12-13 L. Chaves-Velasquez , P. A. Patsis , I. Puerari , Ch. Skokos , T. Manos

We use a simple dynamical model in order to investigate the regular or chaotic character of orbits in a barred galaxy with a central, spherically symmetric, dense nucleus and a flat disk. In particular, we explore how the total orbital…

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

Many dynamical models of the Milky Way halo require assumptions that the distribution function of a tracer population should be independent of time (i.e., a steady state distribution function) and that the underlying potential is spherical.…

Astrophysics of Galaxies · Physics 2017-07-28 Wenting Wang , Jiaxin Han , Shaun Cole , Carlos Frenk , Till Sawala

The so-called ``symplectic method'' is used for studying the linear stability of a self-gravitating collisionless stellar system, in which the particles are also submitted to an external potential. The system is steady and spherically…

Astrophysics · Physics 2015-06-24 J. Perez , J-J Aly

The primary focus of this thesis is the numerical investigation of chaos in Hamiltonian models describing charged particle orbits in plasma, star motions in barred galaxies, and orbits' diffusion in multidimensional maps. We systematically…

Chaotic Dynamics · Physics 2025-03-24 Henok Tenaw Moges

A new so-called `gravitational loss-cone instability' in stellar systems has recently been investigated theoretically in the framework of linear perturbation theory and proved to be potentially important in understanding the physical…

Astrophysics of Galaxies · Physics 2020-01-08 E. V. Polyachenko , P. Berczik , A. Just , I. G. Shukhman

The only way to map the Galaxy's gravitational potential $\Phi({\bf x})$ and the distribution of matter that produces it is by modelling the dynamics of stars and gas. Observations of the kinematics of gas provide key information about…

Astrophysics · Physics 2007-05-23 Walter Dehnen , James Binney

The integrated 21 cm H I emission profile of a galaxy encodes valuable information on the kinematics, spatial distribution, and dynamical state of its cold interstellar medium. The line width, in particular, reflects the rotation velocity…

Astrophysics of Galaxies · Physics 2020-08-05 Niankun Yu , Luis C. Ho , Jing Wang

The morphology of a disk galaxy is closely linked to its kinematic state. This is because density wave features are likely made of spontaneously-formed modes which are allowed to arise in the galactic resonant cavity of a particular basic…

Astrophysics · Physics 2008-12-17 R. Buta , X. Zhang

We introduce a new kinematic disturbance parameter, $\Delta V_{\star-g}$ (pronounced `DVSG'), which takes advantage of integral field spectroscopy (IFS) to quantify differences between a galaxy's stellar and gas velocity maps. The…

Astrophysics of Galaxies · Physics 2026-04-15 Jonah M. Powley , Rebecca J. Smethurst , Chris J. Lintott , Tobias Géron

We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD) computations of initially nearby orbits to detect chaos in conservative dynamical systems with phase space dimensionality higher than two. In particular,…

Earth and Planetary Astrophysics · Physics 2023-08-09 Sebastian Zimper , Arnold Ngapasare , Malcolm Hillebrand , Matthaios Katsanikas , Stephen R. Wiggins , Charalampos Skokos