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We use a composite gravitational galactic model consisting of a disk, a halo, a massive nucleus and a strong nuclear bar, in order to study the connections between global and local parameters in a realistic dynamical system. The local model…

Astrophysics of Galaxies · Physics 2012-05-01 Euaggelos E. Zotos

Unveiling the 3D shape of the Milky Way's dark-matter halo is critical to understanding its formation history. We created an innovative dynamical model with minimal assumptions on the internal dynamical structures and accommodates a highly…

Astrophysics of Galaxies · Physics 2026-02-26 Ling Zhu , Runsheng Cai , Xi Kang , Xiang-Xiang Xue , Chengqun Yang , Lan Zhang , Shude Mao , Chao Liu

Here I review recent work, by other authors and by myself, on some particular topics related to the regular and chaotic motion in elliptical galaxies. I show that it is quite possible to build highly stable triaxial stellar systems that…

Astrophysics · Physics 2015-05-13 Juan C. Muzzio

The full phase space information on the kinematics of a huge number of stars provided by the Gaia third Data Release raises the demand for a better understanding of the 3D stellar dynamics. In this paper, we investigate the possible regimes…

Astrophysics of Galaxies · Physics 2023-08-29 Tatiana A. Michtchenko , Douglas A. Barros

The motion of stars in the gravitational potential of a triaxial galaxy is generically chaotic. However, the timescale over which the chaos manifests itself in the orbital motion is a strong function of the degree of central concentration…

Astrophysics · Physics 2009-10-30 David Merritt , Monica Valluri

Celestial bodies approximated with rigid triaxial ellipsoids in a two-body system can rotate chaotically due to the time-varying gravitational torque from the central mass. At small orbital eccentricity values, rotation is short-term…

Earth and Planetary Astrophysics · Physics 2022-04-27 Valeri V. Makarov , Alexey Goldin , Alexei V. Tkachenko , Dimitri Veras , Benoît Noyelles

Orbits in the principal planes of triaxial potentials are known to be prone to unstable motion normal to those planes, so that three dimensional investigations of those orbits are needed even though they are two dimensional. We present here…

Astrophysics of Galaxies · Physics 2015-06-03 Daniel D. Carpintero , Juan C. Muzzio

Orbital and self-consistent dynamics of non-integrable galaxy models are reviewed. Topics covered include torus construction; resonances; triaxial systems with central singularities; mixing and collisionless relaxation; and chaos in…

Astrophysics · Physics 2007-05-23 David Merritt

We introduce a novel dynamical model, named empirical triaxial orbit-superposition model, for the Milky Way halo. This model relies on minimal physical assumptions that the system is stationary, meaning the distribution function in 6D…

Astrophysics of Galaxies · Physics 2025-11-05 Ling Zhu , Xiang-Xiang Xue , Shude Mao , Chengqun Yang , Lan Zhang

As a first step towards a comprehensive investigation of stellar motions within globular clusters, we present here the results of a study of stellar orbits in a mildly triaxial globular cluster that follows a circular orbit inside a galaxy.…

Astrophysics · Physics 2009-10-31 D. D. Carpintero , J. C. Muzzio , F. C. Wachlin

The Newtonian as well as the special relativistic dynamics are used to study the stability of orbits of a test particle moving around a black hole plus a dipolar halo. The black hole is modeled by either the usual monopole potential or the…

Astrophysics · Physics 2007-05-23 E. Gueron , P. S. Letelier

Locating the position of periodic orbits in galaxies is undoubtedly an issue of paramount importance. We reveal the position and the stability of periodic orbits of stars moving in the meridional plane $(R,z)$ of an axially symmetric…

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

A mathematical model of the distribution function for the discrete 3-disk is proposed in order to utilize in the statistical evolution equation of the 3-dimensional Universe. The model distribution is constructed based on analyses in known…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Tetsuyuki Yukawa

Recent work on the dynamics of triaxial stellar systems is reviewed. The motion of boxlike orbits in realistic triaxial potentials is generically stochastic. The degree to which the stochasticity manifests itself in the dynamics depends on…

Astrophysics · Physics 2007-05-23 David Merritt

In the present article, we use an axially symmetric galactic gravitational model with a disk-halo and a spherical nucleus, in order to investigate the transition from regular to chaotic motion for stars moving in the meridian (r,z) plane.…

Astrophysics of Galaxies · Physics 2015-06-04 Euaggelos E. Zotos

Circular motion of particles, dust grains and fluids in the vicinity of compact objects has been investigated as a model for accretion of gaseous and dusty environment. Here we further discuss, within the framework of general relativity,…

High Energy Astrophysical Phenomena · Physics 2014-07-04 Ondřej Kopáček , Jiří Kovář , Vladimír Karas , Yasufumi Kojima

The occurrence of chaos for test particles moving around a slowly rotating black hole with a dipolar halo is studied using Poincar\'e sections. We find a novel effect, particles with angular momentum opposite to the black hole rotation have…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. S. Letelier , W. M. Vieira

In this paper we study the triaxial properties of dark matter haloes of a wide range of masses extracted from a set of cosmological N-body simulations. We measure the shape at different distances from the halo centre (characterised by…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Giulia Despali , Carlo Giocoli , Mario Bonamigo , Marceau Limousin , Giuseppe Tormen

We review our recent work on the formation and evolution of disks with in triaxial dark matter (DM) halos by means of numerical simulations, including star formation and feedback from stellar evolution. The growing disks are strongly in…

Astrophysics · Physics 2009-11-11 Isaac Shlosman

In the paper, orbital dynamics, regular or chaotic, of globular clusters (GCs) in the central region of the Galaxy, which is subject to the greatest influence of the rotating bar, has been studied. Such methods for determining chaos as…

Astrophysics of Galaxies · Physics 2025-12-09 Anisa Bajkova , Anton Smirnov , Vadim Bobylev