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Dynamical friction is an important phenomena in stellar dynamics resulting in the slowing down of a test particle upon many two-body scatters with background particles. Chandrasekhar's original formulation, developed for idealized infinite…

Astrophysics of Galaxies · Physics 2025-08-27 Pierfrancesco Di Cintio , Bruno Marcos

Dynamical friction is often modeled with reasonable accuracy by the widely used Chandrasekhar formula. However, in some circumstances, Chandrasekhar's local and uniform approximations can break down severely. An astrophysically important…

Astrophysics of Galaxies · Physics 2022-07-06 Karamveer Kaur , Nicholas C. Stone

Dynamical friction leads to an orbital decay of massive objects like young compact star clusters or Massive Black Holes in central regions of galaxies. The dynamical friction force can be well approximated by Chandrasekhar's standard…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 A. Just , F. M. Khan , P. Berczik , A. Ernst , R. Spurzem

An introductory exposition of Chandrasekhar's gravitational dynamical friction, appropriate for an undergraduate class in mec hanics, is presented. This friction results when a massive particle moving through a ``sea'' of much lighter star…

Classical Physics · Physics 2007-05-23 Hector Aceves , Maria Colosimo

A longstanding problem in galactic simulations is to resolve the dynamical friction (DF) force acting on massive black hole particles when their masses are comparable to or less than the background simulation particles. Many sub-grid models…

Astrophysics of Galaxies · Physics 2023-05-17 Linhao Ma , Philip F. Hopkins , Luke Zoltan Kelley , Claude-André Faucher-Giguère

In the framework of the fluctuation-dissipation approach to dynamical friction, we derive an expression giving the orbital energy exchange experienced by a compound body as it moves interacting with a non homogeneous discrete background.…

Astrophysics · Physics 2020-11-25 R. Domínguez-Tenreiro , M. A. Gómez-Flechoso

Dynamical friction governs the orbital decay of massive perturbers within galaxies and dark matter halos, yet its standard Chandrasekhar formulation fails in systems with cores of (roughly) constant density, where inspiral can halt or even…

The discovery of dynamical friction was Chandrasekhar's best known contribution to the theory of stellar dynamics, but his work ranged from the few-body problem to the limit of large N (in effect, galaxies). Much of this work was summarised…

Astrophysics of Galaxies · Physics 2011-03-25 Douglas C. Heggie

We discuss dynamical friction in an $N$-body system in the presence of tidal interactions caused by a distant external source. Using the distant tide approximation, we develop a perturbation scheme for the calculation of dynamical friction…

Astrophysics of Galaxies · Physics 2022-02-14 Mahmood Roshan , Bahram Mashhoon

Dynamical friction arises from the interaction of a perturber and the gravitational wake it excites in the ambient medium. We study the effects of the presence of a boundary on dynamical friction by studying analytically the interaction of…

Astrophysics of Galaxies · Physics 2011-01-17 Fathi Namouni

We present a new semi-analytic model for dynamical friction based on Chandrasekhar's formalism. The key novelty is the introduction of physically motivated, radially varying, maximum and minimum impact parameters. With these, our model…

Astrophysics of Galaxies · Physics 2015-10-28 James A. Petts , Alessia Gualandris , Justin I. Read

The motion of a point like object of mass $M$ passing through the background potential of massive collisionless particles ($m << M$) suffers a steady deceleration named dynamical friction. In his classical work, Chandrasekhar assumed a…

Astrophysics of Galaxies · Physics 2016-05-25 J. M. Silva , J. A. S. Lima , R. E. de Souza , A. Del Popolo , Morgan Le Delliou , Xi-Guo Lee

We use the Chandrasekhar formalism and direct N-body simulations to study the effect of dynamical friction on a test object only slightly more massive than the field stars, orbiting a spherically symmetric background of particles with a…

Solar and Stellar Astrophysics · Physics 2015-06-22 Emiliano Alessandrini , Barbara Lanzoni , Paolo Miocchi , Luca Ciotti , Francesco R. Ferraro , -

Using analytic calculations and N-body simulations we show that in constant density (harmonic) cores, sinking satellites undergo an initial phase of very rapid (super-Chandrasekhar) dynamical friction, after which they experience no…

Astrophysics · Physics 2009-11-11 J. I. Read , Tobias Goerdt , Ben Moore , A. P. Pontzen , Joachim Stadel , George Lake

We study the effect of Chandrasekhar and Holstmark's distribution of field fluctuations on the dynamics of N-body systems interacting via Coulomb or Newton gravitational force. We develop an approach based on statistical dynamics first…

Classical Physics · Physics 2014-01-21 Y. Chaffi , R. Casta , L. Brenig

The motion of a point like object of mass M passing through the background potential of massive collisionless particles (m << M) suffers a steady deceleration named dynamic friction. In his classical work, Chandrasekhar assumed a Maxwellian…

Solar and Stellar Astrophysics · Physics 2012-02-10 J. M. Silva , J. A. S. Lima , R. E. de Souza

For a rigid model satellite, Chandrasekhar's dynamical friction formula describes the orbital evolution quite accurately, when the Coulomb logarithm is chosen appropriately. However, it is not known if the orbital evolution of a real…

Astrophysics · Physics 2015-06-24 Michiko Fujii , Yoko Funato , Junichiro Makino

Dynamical friction is the process responsible for matter transport toward the inner regions of galaxies in form of massive objects, like intermediate mass black holes, globular clusters and small satellite galaxies. While very bright…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-19 M. Arca-Sedda , R. Capuzzo-Dolcetta

We study the dynamical response of extended systems, hosts, to smaller systems, satellites, orbiting around the hosts using extremely high-resolution N-body simulations with up to one billion particles. This situation corresponds to minor…

Astrophysics of Galaxies · Physics 2016-02-17 Go Ogiya , Andreas Burkert

The exact equations of motion for microscopic density of classical many-body system with account of inter-particle retarded interactions are derived. It is shown that interactions retardation leads to irreversible behaviour of many-body…

Statistical Mechanics · Physics 2015-09-22 A. Yu. Zakharov , M. A. Zakharov
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