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We analyze energy spreading for a system that features mixed chaotic phase-space, whose control parameters (or slow degrees of freedom) vary quasi-statically. For demonstration purpose we consider the restricted 3~body problem, where the…

Statistical Mechanics · Physics 2022-05-10 Yehoshua Winsten , Doron Cohen

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 case of the planar circular restricted three-body problem is used as a test field in order to determine the character of the orbits of a small body which moves under the gravitational influence of the two heavy primary bodies. We…

Space Physics · Physics 2017-09-28 Euaggelos E. Zotos

In this tutorial, three examples of stochastic systems are considered: A strongly-damped oscillator, a weakly-damped oscillator and an undamped oscillator (integrator) driven by noise. The evolution of these systems is characterized by the…

Statistical Mechanics · Physics 2022-02-02 C. J. McKinstrie , T. J. Stirling , A. S. Helmy

The aim of this work is to compare the orbital dynamics in three different models describing the properties of a star cluster rotating around its parent galaxy in a circular orbit. In particular, we use the isochrone and the Hernquist…

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

In recent years, the long-term effects of non-linear perturbations were found to be important for the evolution of the hierarchical triple system, which, for the central third body of a larger mass, can significantly suppress the…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Li Hu , Rong-Gen Cai , Shao-Jiang Wang

[Abridged] Recently we have found that a family of models of partially relaxed, anisotropic stellar systems, inspired earlier by studies of incomplete violent relaxation, exhibits some interesting thermodynamic properties. Here we present a…

Astrophysics · Physics 2009-11-10 M. Trenti , G. Bertin

We study the shape and kinematics of simulated dwarf galaxy discs in the APOSTLE suite of $\Lambda$CDM cosmological hydrodynamical simulations. We find that a large fraction of these gas-rich, star-forming discs show weak bars in their…

Astrophysics of Galaxies · Physics 2018-02-28 A. Marasco , K. A. Oman , J. F. Navarro , C. S. Frenk , T. Oosterloo

We classify orbits of stars that are bound to central black holes in galactic nuclei. The stars move under the combined gravitational influences of the black hole and the central star cluster. Within the sphere of influence of the black…

Astrophysics · Physics 2009-10-31 S. Sridhar , J. Touma

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 escape dynamics of the stars in a barred galaxy composed of a spherically symmetric central nucleus, a bar, a flat thin disk and a dark matter halo component is investigated by using a realistic three degrees of freedom (3-dof)…

Astrophysics of Galaxies · Physics 2018-01-03 Euaggelos E. Zotos , Christof Jung

Recent studies of the phase diagram for spherical, purely repulsive, active particles established the existence of a transition from a liquid-like to a solid-like phase analogous to the one observed in colloidal systems at thermal…

Statistical Mechanics · Physics 2020-04-30 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Andrea Puglisi

The structural properties of elliptical galaxies are consistent with their formation in a merging hierarchy. In this picture, the role of gaseous processes and dissipation decreased with increasing mass creating preferentially rotationally…

Astrophysics · Physics 2016-08-30 Ralf Bender

Stars in short-period binaries typically have spins that are aligned and synchronized with the orbit of their companion. In triple systems, however, the combination of spin and orbital precession can cause the star's rotation to evolve to a…

Solar and Stellar Astrophysics · Physics 2023-09-18 Jim Fuller , Catherine Felce

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

Fluid Dynamics · Physics 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

During the study of a large set of late-type stellar X-ray sources, we discovered a large fraction of multiple systems. In this paper we investigate the orbital elements and kinematic properties of three new spectroscopic triple systems as…

Astrophysics · Physics 2009-11-13 A. Klutsch , A. Frasca , P. Guillout , R. Freire Ferrero , E. Marilli , G. Mignemi , K. Biazzo

The present dynamical configuration of planets in binary star systems may not reflect their formation process since the binary orbit may have changed in the past after the planet formation process was completed. An observed binary system…

Astrophysics · Physics 2009-11-13 F. Marzari , M. Barbieri

Recent progress is summarized on the determination of the density distributions of stars and dark matter, stellar kinematics, and stellar population properties, in the extended, low surface brightness halo regions of elliptical galaxies.…

Astrophysics of Galaxies · Physics 2015-05-20 Ortwin Gerhard

Kinetically constrained spin systems play an important role in understanding key properties of the dynamics of slowly relaxing materials, such as glasses. So far kinetic constraints have been introduced in idealised models aiming to capture…

Statistical Mechanics · Physics 2016-11-09 B. Everest , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

The order and chaos of the motion near equilibrium points in the potential of a rotating highly irregular-shaped celestial body are investigated from point of view of the dynamical system theory. The positions of the non-degenerate…

Earth and Planetary Astrophysics · Physics 2015-08-10 Yu Jiang , Hexi Baoyin , Xianyu Wang , Yang Yu , Hengnian Li , Chao Peng , Zhibin Zhang