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Although the discovery of the chaotic motion of the inner planets in the solar system dates back to more than thirty years ago, the secular chaos of their orbits still dares more analytical analyses. Apart from the high-dimensional…

Earth and Planetary Astrophysics · Physics 2021-11-03 Federico Mogavero , Jacques Laskar

Gravitational stability of a disc consisting of the gaseous and the stellar components are studied in the linear regime when the gaseous component is turbulent. A phenomenological approach is adopted to describe the turbulence, in which not…

Astrophysics of Galaxies · Physics 2015-06-03 Mohsen Shadmehri , Fazeleh Khajenabi

Different sequences of ellipsoids are represented on the ellipticity-rotation plane. The rotation parameter is defined as the ratio of kinetic energy related to the mean tangential equatorial velocity component to kinetic energy related to…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 R. Caimmi

We present an axisymmetric, equilibrium model for late-type galaxies which consists of an exponential disk, a Sersic bulge, and a cuspy dark halo. The model is specified by a phase space distribution function which, in turn, depends on the…

Astrophysics · Physics 2010-04-21 Lawrence M. Widrow , Brent Pym , John Dubinski

Ellipticals in very low density environments are extremely rare but hold important clues about galaxy formation and evolution. In this paper we continue our study of isolated elliptical galaxies, presenting results on the radial stellar…

Astrophysics · Physics 2009-11-11 George Hau , Duncan Forbes

We study the variation of the dark matter mass fraction of elliptical galaxies as a function of their luminosity, stellar mass, and size using a sample of 29,469 elliptical galaxies culled from the Sloan Digital Sky Survey. We model…

A matrix method is formulated in a Lagrangian representation for the solution of the characteristic value problem governing modes of oscillation and instability in a collisionless stellar system. The underlying perturbation equations govern…

Astrophysics · Physics 2009-11-07 Peter O. Vandervoort

We explore the orbital dynamics of a realistic three dimensional model describing the properties of a disk galaxy with a spherically symmetric central dense nucleus and a triaxial dark matter halo component. Regions of phase space with…

Astrophysics of Galaxies · Physics 2015-11-17 Christof Jung , Euaggelos E. Zotos

We present a new empirical model for galaxy rotation curves that introduces a velocity correction term {\omega}, derived from observed stellar motion and anchored to Keplerian baselines. Unlike parametric halo models or modified gravity…

Astrophysics of Galaxies · Physics 2026-01-05 David C. Flynn , Jim Cannaliato

We propose a new, more realistic, description of the perturbed gravitational potential of spiral galaxies, with spiral arms having Gaussian-shaped groove profiles. We investigate the stable stellar orbits in galactic disks, using the new…

Astrophysics of Galaxies · Physics 2015-06-12 T. C. Junqueira , J. R. D. Lépine , C. A. S. Braga , D. A. Barros

An assumption of smooth response to small parameter changes, of statistics or long-time averages of a chaotic system, is generally made in the field of sensitivity analysis, and the parametric derivatives of statistical quantities are…

Chaotic Dynamics · Physics 2021-06-22 Adam A. Sliwiak , Nisha Chandramoorthy , Qiqi Wang

The non-linear dynamics of bending instability and vertical structure of a galactic stellar disc embedded into a spherical halo are studied with N-body numerical modelling. Development of the bending instability in stellar galactic disc is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 A. Khoperskov , D. Bizyaev , N. Tiurina , M. Butenko

In this paper, an extremely accurate numerical algorithm, namely the "clean numerical simulation" (CNS), is proposed to accurately simulate the propagation of micro-level inherent physical uncertainty of chaotic dynamic systems. The chaotic…

Chaotic Dynamics · Physics 2012-12-27 S. J. Liao

Recent observations of the line of sight velocity profile of elliptical galaxies have furnished controversial results with some works favouring the presence of a large amount of dark matter in the outer regions and others arguing in favour…

Astrophysics · Physics 2009-11-11 C. Tortora , V. F. Cardone , E. Piedipalumbo

The dynamical ellipticity of a planet expresses the departure of its mass distribution from spherical symmetry. It enters as a parameter in the description of a planet's precession and nutation, as well as other rotational normal modes. In…

Earth and Planetary Astrophysics · Physics 2022-06-08 Mohammad Farhat , Jacques Laskar , Gwenaël Boué

We construct a large set of dynamical models of the galactic bulge, bar and inner disk using the Made-to-Measure method. Our models are constrained to match the red clump giant density from a combination of the VVV, UKIDSS and 2MASS…

Astrophysics of Galaxies · Physics 2016-12-21 Matthieu Portail , Ortwin Gerhard , Christopher Wegg , Melissa Ness

We numerically investigate the orbital dynamics of a two-dimensional galactic model, emphasizing the influence of stable and unstable manifolds on the evolution of orbits. In our analysis we use evaluations of the system's Lagrangian…

Chaotic Dynamics · Physics 2025-05-19 Dylan Theron , Charalampos Skokos

We show how the combination of observations related to strong gravitational lensing and stellar dynamics in ellipticals offers a new way to measure the cosmological matter and dark-energy density parameters. A gravitational lensing estimate…

Astrophysics · Physics 2009-11-13 C. Grillo , M. Lombardi , G. Bertin

In this paper, we implement a generalised pseudo-Newtonian potential to study the off-equatorial orbits inclined at a certain angle with the equatorial plane around Schwarzschild and Kerr-like compact object primaries surrounded by a…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saikat Das , Suparna Roychowdhury

We study gravitational waves from a particle moving around a system of a point mass with a disk in Newtonian gravitational theory. A particle motion in this system can be chaotic when the gravitational contribution from a surface density of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kenta Kiuchi , Hiroko Koyama , Kei-ichi Maeda