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The radial acceleration relation (RAR) of late-type galaxies relates their dynamical acceleration, $g_\text{obs}$, to that sourced by baryons alone, $g_\text{bar}$, across their rotation curves. Literature fits to the RAR have fixed the…

Astrophysics of Galaxies · Physics 2024-02-27 Harry Desmond

We test whether parsec-scale stellar systems in the Milky Way follow the galactic radial acceleration relation (RAR) or the baryonic TullyFisher relation (BTFR). We analyse 5646 Gaia DR3 open clusters from the Hunt \& Reffert catalogue.…

Astrophysics of Galaxies · Physics 2026-03-05 Mark D. Huisjes , X. Hernandez

A tight correlation between the baryonic and observed acceleration of galaxies has been reported over a wide range of mass ($10^8 < M_{\rm bar}/{\rm M}_\odot < 10^{11}$) - the Radial Acceleration Relation (RAR). This has been interpreted as…

The radial acceleration relation (RAR) in galaxies describes a tight empirical scaling law between the total acceleration $g_\mathrm{tot}(r)=GM_\mathrm{tot}(<r)/r^2$ observed in galaxies and that expected from their baryonic mass…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Yong Tian , Keiichi Umetsu , Chung-Ming Ko , Megan Donahue , I-Non Chiu

The Baryonic Tully-Fisher Relation (BTFR) links baryonic mass of rotationally supported galaxies to their flat disk velocities. A popular form of the BTFR linked to MOND is based on an empirically determined characteristic acceleration, a0…

Astrophysics of Galaxies · Physics 2021-01-06 Jeffrey M. La Fortune

We show that ultra-light scalar dark matter (fuzzy dark matter) in galaxies has a quantum mechanical typical acceleration scale about $10^{-10}\,\mbox{ms}^{-2}$, which leads to the baryonic Tully-Fisher relation. Baryonic matter at central…

Astrophysics of Galaxies · Physics 2019-07-02 Jae-Weon Lee , Hyeong-Chan Kim , Jungjai Lee

The radial acceleration relation (RAR) locally relates the `observed' acceleration inferred from the dynamics of a system to the acceleration implied by its baryonic matter distribution. The relation as traced by galaxy rotation curves is…

Astrophysics of Galaxies · Physics 2020-12-17 Kyle A. Oman , Margot M. Brouwer , Aaron D. Ludlow , Julio F. Navarro

We study the link between baryons and dark matter in 240 galaxies with spatially resolved kinematic data. Our sample spans 9 dex in stellar mass and includes all morphological types. We consider (i) 153 late-type galaxies (LTGs; spirals and…

Astrophysics of Galaxies · Physics 2017-02-22 Federico Lelli , Stacy S. McGaugh , James M. Schombert , Marcel S. Pawlowski

McGaugh et al. (2016) have found, in a large sample of disc systems, a tight nonlinear relationship between the total radial accelerations $g$ and their components $g_b$ arisen from the distribution of the baryonic matter [McGaugh_2016].…

Astrophysics of Galaxies · Physics 2019-03-20 Chiara Di Paolo , Paolo Salucci , Jean Philippe Fontaine

The radial acceleration relation (RAR) is a fundamental relation linking baryonic and dark matter in galaxies by relating the observed acceleration derived from dynamics to the one estimated from the baryonic mass. This relation exhibits…

We study the radial acceleration relation (RAR) between the total ($a_{\rm tot}$) and baryonic ($a_{\rm bary}$) centripetal acceleration profiles of central galaxies in the cold dark matter (CDM) paradigm. We analytically show that the RAR…

Astrophysics of Galaxies · Physics 2021-08-04 Aseem Paranjape , Ravi K. Sheth

In the past few decades, many studies revealed that there exist some apparent universal relations which can describe the dynamical properties in galaxies. In particular, the radial acceleration relation (RAR) is one of the most popular…

Astrophysics of Galaxies · Physics 2024-01-17 Man Ho Chan

Galaxies follow a tight radial acceleration relation (RAR): the acceleration observed at every radius correlates with that expected from the distribution of baryons. We use the Markov Chain Monte Carlo method to fit the mean RAR to 175…

Astrophysics of Galaxies · Physics 2018-07-04 Pengfei Li , Federico Lelli , Stacy S. McGaugh , James M. Schombert

Recent studies reveal a radial acceleration relation (RAR) in galaxies, which illustrates a tight empirical correlation connecting the observational acceleration and the baryonic acceleration with a characteristic acceleration scale.…

Astrophysics of Galaxies · Physics 2024-04-23 Yong Tian , Chung-Ming Ko , Pengfei Li , Stacy McGaugh , Shemile L. Poblete

Recent observations of rotationally supported galaxies show a tight correlation between the observed radial acceleration at every radius and the Newtonian acceleration generated by the baryonic mass distribution, the so-called radial…

Astrophysics of Galaxies · Physics 2019-07-04 Amir Ghari , Hosein Haghi , Akram Hasani Zonoozi

Galaxies have been observed to exhibit a level of simplicity unexpected in the complex galaxy formation scenario posited by standard cosmology. This is particularly apparent in their dynamics, where scaling relations display much regularity…

Astrophysics of Galaxies · Physics 2024-02-21 Richard Stiskalek , Harry Desmond

The radial acceleration relation (RAR) is a tight empirical correlation between the observed radial acceleration (a_tot) and the baryonic radial acceleration (a_bar) measured across galaxy radii: these two accelerations start to deviate…

Astrophysics of Galaxies · Physics 2026-05-20 B. I. Ciocan , N. F. Bouché , J. Fensch , D. Krajnović , J. Freundlich , H. Desmond , B. Famaey , R. Techi

Recently, the discovery of the radial acceleration relation (RAR) in galaxies has been regarded as an indirect support of alternative theories of gravity such as Modified Newtonian Dynamics (MOND) and modified gravity. This relation…

Astrophysics of Galaxies · Physics 2020-04-15 Man Ho Chan , Antonino Del Popolo

The radial acceleration relation (RAR) links observed and baryonic accelerations, and is best established in rotation curves of late-type galaxies. Pulsar timing, which measures line-of-sight (LOS) differential accelerations between the Sun…

Astrophysics of Galaxies · Physics 2026-05-08 Tariq Yasin , Harry Desmond

Most galaxies closely follow the radial acceleration relation (RAR), which tightly links the observed accelerations to those predicted by Newtonian gravity from visible baryonic matter. Galaxy clusters, however, deviate from this relation.…

Astrophysics of Galaxies · Physics 2026-03-26 Michal Bílek , Florent Renaud , Srdjan Samurović
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