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This paper shows how a self-consistent dynamical model can be obtained by fitting the gravitational potential of the Milky Way to the stellar kinematics and densities from Gaia data. Using the Besancon Galaxy Model we derive a potential and…

In galactic nuclei, the gravitational potential is dominated by the central supermassive black hole, so stars follow quasi-Keplerian orbits. These orbits are distorted by gravitational forces from other stars, leading to long-term orbital…

Astrophysics of Galaxies · Physics 2022-09-14 Jean-Baptiste Fouvry , Walter Dehnen , Scott Tremaine , Ben Bar-Or

In general, when gas accretes on to a supermassive black hole binary it is likely to have no prior knowledge of the binary angular momentum. Therefore a circumbinary disc forms with a random inclination angle, theta, to the binary. It is…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Chris Nixon

The density of stars in galactic bulges is often observed to be flat or slowly rising inside the influence radius of the supermassive black hole (SMBH). Attributing the dynamical friction force to stars moving more slowly than the test…

Astrophysics of Galaxies · Physics 2015-05-30 Fabio Antonini , David Merritt

Dense star clusters are spectacular self-gravitating stellar systems in our Galaxy and across the Universe - in many respects. They populate disks and spheroids of galaxies as well as almost every galactic center. In massive elliptical…

Instrumentation and Methods for Astrophysics · Physics 2023-05-22 Rainer Spurzem , Albrecht Kamlah

The time evolution of initially balanced, rapidly rotating models for an isolated disk of highly flattened galaxies of stars is calculated. The method of direct integration of the Newtonian equations of motion of stars over a time span of…

Astrophysics · Physics 2007-05-23 Evgeny Griv , Michael Gedalin , Edward Liverts , David Eichler , Yehoshua Kimhi , Chi Yuan

We present a method for constructing dynamical models of stellar systems described by distribution functions and constrained by discrete-kinematic data. We implement various improvements compared to earlier applications of this approach,…

Astrophysics of Galaxies · Physics 2026-04-28 Eugene Vasiliev , Anja Feldmeier-Krause , Mattia C. Sormani

We formulate a local dynamical model of an eccentric disc in which the dominant motion consists of elliptical Keplerian orbits. The model is a generalization of the well known shearing sheet, and is suitable for both analytical and…

Earth and Planetary Astrophysics · Physics 2015-06-23 Gordon I. Ogilvie , Adrian J. Barker

We describe the dynamics and thermodynamics of collisionless particle disks orbiting a massive central body, in the case where the disk mass is small compared to the central mass, the self-gravity of the disk dominates the non-Keplerian…

Astrophysics of Galaxies · Physics 2014-09-12 Jihad Touma , Scott Tremaine

Disks of bodies orbiting a much more massive central object are extremely common in astrophysics. When the orbits comprising such disks are eccentric, we show they are susceptible to a new dynamical instability. Gravitational forces between…

Earth and Planetary Astrophysics · Physics 2016-02-03 Ann-Marie Madigan , Michael McCourt

We study a warping instability of a geometrically thin, non-self-gravitating disk surrounding binary supermassive black holes on a circular orbit. Such a circumbinary disk is subject to not only tidal torques due to the binary gravitational…

Astrophysics of Galaxies · Physics 2015-06-19 Kimitake Hayasaki , Bong Won Sohn , Atsuo T. Okazaki , Taehyun Jung , Guangyao Zhao , Tsuguya Naito

Planet-forming disks are fundamental objects thought to be inherited from large scale rotation, through the conservation of angular momentum during the collapse of a prestellar dense core. We investigate the possibility for a protostellar…

Astrophysics of Galaxies · Physics 2020-03-25 Antoine Verliat , Patrick Hennebelle , Anaëlle J. Maury , Mathilde Gaudel

To be presented is a study of the secular evolution of a spherical stellar system with a central star-accreting black hole (BH) using the anisotropic gaseous model. This method solves numerically moment equations of the full Fokker-Planck…

Astrophysics · Physics 2009-11-10 Pau Amaro-Seoane , Marc Freitag , Rainer Spurzem

Most analytic work to date on protostellar disks has focused on those in isolation from their environments. However, observations are now beginning to probe the earliest, most embedded phases of star formation, during which disks are…

Astrophysics · Physics 2009-11-13 Kaitlin M. Kratter , Christopher D. Matzner , Mark R. Krumholz , .

Compact objects evolving in an astrophysical environment experience a gravitational drag force known as dynamical friction. We present a multipole-frequency decomposition to evaluate the orbit-averaged energy and angular momentum…

Astrophysics of Galaxies · Physics 2025-09-22 Gali Eytan , Vincent Desjacques , Yonadav Barry Ginat

Observations of massive stars within the central parsec of the Galaxy show that, while most stars orbit within a well-defined disc, a significant fraction have large eccentricities and / or inclinations with respect to the disc plane. Here,…

Astrophysics · Physics 2009-03-08 Jorge Cuadra , Philip J. Armitage , Richard D. Alexander

A new class of models of stellar discs is introduced and used to build a self-consistent model of our Galaxy. The model is defined by the parameters that specify the action-based distribution functions (DFs) f(J) of four stellar discs…

Astrophysics of Galaxies · Physics 2023-01-25 James Binney , Eugene Vasiliev

Starting from an axisymmetric equilibrium distribution function (DF) in action space, representing a Milky Way thin disc stellar population, we use the linearized Boltzmann equation to explicitly compute the response to a three-dimensional…

Astrophysics of Galaxies · Physics 2016-06-23 Giacomo Monari , Benoit Famaey , Arnaud Siebert

We have applied an eccentric accretion disc theory in simplified form to the case of an accretion disc in a binary system, where the disc contains the 3:1 Lindblad resonance. This is relevant to the case of superhumps in SU Ursae Majoris…

Astrophysics · Physics 2009-11-11 Simon Goodchild , Gordon Ogilvie

We study stationary and axially symmetric black hole-disk systems, assuming a combination of the DD2 and Timmes-Swesty equations of state and a three-parameter family of rotation laws. There exist two branches of solutions that are shown to…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Wojciech Kulczycki , Patryk Mach , Edward Malec