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A comparative analysis of the dynamics of the orbital motion (regular or chaotic) of 45 globular clusters in the central region of the Galaxy with a radius of 3.5 kpc is carried out. The static and evolving (based on the semi-analytical…

Astrophysics of Galaxies · Physics 2026-01-05 Anisa Bajkova , Anton Smirnov , Vadim Bobylev

To improve our understanding of orbital instabilities in compact planetary systems, we compare suites of $N$-body simulations against numerical integrations of simplified dynamical models. We show that, surprisingly, dynamical models that…

Earth and Planetary Astrophysics · Physics 2024-07-31 Caleb Lammers , Sam Hadden , Norman Murray

The recent paper claims that mean characteristics of chaotic orbits differ from the corresponding values averaged over the set of unstable periodic orbits, embedded in the chaotic attractor. We demonstrate that the alleged discrepancy is an…

Statistical Mechanics · Physics 2010-07-27 Michael A. Zaks , Denis S. Goldobin

We investigate the coupling between the temporal variation from galaxy-formation feedback and the bar instability. We show that fluctuations from mass outflow on star-formation time scales affect the radial motion of disk orbits. The…

Astrophysics of Galaxies · Physics 2025-06-16 Martin D. Weinberg

The oscillation spectrum of pressure waves in stars can be determined by monitoring their luminosity. For rapidly rotating stars, the corresponding ray dynamics is mixed, with chaotic and regular zones in phase space. Our numerical…

Solar and Stellar Astrophysics · Physics 2019-04-22 Benjamin Evano , Bertrand Georgeot , François Lignières

We study the time-evolution of cumulants of velocities and kinetic energies in the stochastic Kac model for velocity exchange of $N$ particles, with the aim of quantifying how fast these degrees of freedom become chaotic in a time scale in…

Mathematical Physics · Physics 2025-01-31 Jani Lukkarinen , Aleksis Vuoksenmaa

Lynden-Bell & Kalnajs (1972) presented a useful formula for computing the long-range torque between spiral arms and the disk at large. The derivation uses second-order perturbation theory and assumes that the perturbation slowly grows over…

Astrophysics · Physics 2007-05-23 Martin D. Weinberg

We provide the first quantitative evidence for the deceleration of the Galactic bar from local stellar kinematics in agreement with dynamical friction by a typical dark matter halo. The kinematic response of the stellar disk to a…

Astrophysics of Galaxies · Physics 2023-08-04 Rimpei Chiba , Jennifer K. S. Friske , Ralph Schönrich

The scaling behavior of the maximal Lyapunov exponent in chaotic systems with time-delayed feedback is investigated. For large delay times it has been shown that the delay-dependence of the exponent allows a distinction between strong and…

Chaotic Dynamics · Physics 2012-10-15 Thomas Jüngling , Wolfgang Kinzel

Unstable periodic orbits scar wave functions in chaotic systems. This also influences the associated spectra, that follow the otherwise universal Porter--Thomas intensity distribution. We show here how this deviation extend to other longer…

Chaotic Dynamics · Physics 2009-11-10 D. A. Wisniacki , F. Borondo , E. Vergini , R. M. Benito

We investigate the dynamical effects of an interaction between an initially barred galaxy and a small spherical companion using an N-body/SPH algorithm. In the models described here the small companion passes through the disc of the larger…

Astrophysics · Physics 2009-11-07 I. Berentzen , E. Athanassoula , C. H. Heller , K. J. Fricke

Motivated by the observed discrepancy between the strong spatial correlations of Lyman break galaxies (LBGs) and their velocity dispersions, we consider a theoretical model in which these starbursting galaxies are associated with dark…

Astrophysics · Physics 2009-11-07 Evan Scannapieco , Robert J. Thacker

Instabilities in compact planetary systems are generically driven by chaotic dynamics. This implies that an instability time measured through direct N-body integration is not exact, but rather represents a single draw from a distribution of…

Earth and Planetary Astrophysics · Physics 2020-01-15 Naireen Hussain , Daniel Tamayo

We analyze how the orbital support of the inner bar in a double-barred galaxy (nested bars) depends on the angular velocity (i.e. pattern speed) of this bar. We study orbits in seven models of double bars using the method of invariant…

Astrophysics of Galaxies · Physics 2015-05-19 Witold Maciejewski , Emma E. Small

A bar-like central feature is commonly observed in both nearby and distant spiral-type galaxies, including the Milky Way. While many methods exist to categorise this morphology, no one method has emerged as the field-wide standard. To…

Astrophysics of Galaxies · Physics 2026-04-22 Elizabeth J. Iles , Finn A. Pal , Joss Bland-Hawthorn , Ken Freeman

We use a large volume-limited sample of disk galaxies drawn from the Sloan Digital Sky Survey Data Release 7 to study the dependence of the bar fraction on the stellar-to-halo mass ratio, making use of a group catalog, we identify central…

Astrophysics of Galaxies · Physics 2015-07-09 Bernardo Cervantes Sodi , Cheng Li , Changbom Park

Bars and spiral arms have played an important role as constraints on the dynamics and on the distribution of dark matter in the optical parts of disk galaxies. Dynamics linked to the dissipative nature of gas, and its transformation into…

Astrophysics · Physics 2016-01-27 Daniel Pfenniger , Yves Revaz

In this and in a previous paper (Romero-Gomez et al. 2006) we propose a theory to explain the formation of both spirals and rings in barred galaxies using a common dynamical framework. It is based on the orbital motion driven by the…

Astrophysics · Physics 2009-11-13 M. Romero-Gomez , E. Athanassoula , J. J. Masdemont , C. Garcia-Gomez

This study numerically investigates the dynamics of barred spiral galaxies using 3D Ferrers bar response models. A total of 708 models were analyzed, incorporating variations in the axisymmetric potential (nucleus, bulge, disk, halo), bar…

Astrophysics of Galaxies · Physics 2025-02-06 A. Silva-Castro , I. Puerari

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