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Aims. We explore the dynamical friction on a test mass in gravitational systems in the Quasi linear formulation of Modified Newtonian Dynamics (QuMOND). Methods. Exploiting the quasi linearity of QuMOND we derive a simple expression for the…

Astrophysics of Galaxies · Physics 2024-09-11 Pierfrancesco Di Cintio , Federico Re , Caterina Chiari

We study geometries of galactic rotation curves from Dark Matter (DM) and Modified Newtonian Dynamics (MOND) models in $(g_{\rm bar},g_{\rm tot})$-space ($g2$-space) where $g_{\rm tot}$ is the total centripetal acceleration of matter in the…

Astrophysics of Galaxies · Physics 2018-05-29 Mads T. Frandsen , Jonas Petersen

We propose a technique to test the idea that non-standard dynamics, rather than dark matter halos, might be responsible for the observed rotation curves of spiral galaxies. In the absence of non-luminous matter, a galactic disk's rotational…

Astrophysics · Physics 2007-05-23 Christopher W. Stubbs , Arti Garg

The phenomenology of modified Newtonian dynamics (MOND) on galaxy scales may point to more fundamental theories of either modified gravity (MG) or modified inertia (MI). In this paper, we test the applicability of the global deep-MOND…

Astrophysics of Galaxies · Physics 2020-04-22 Jonas Petersen , Federico Lelli

We consider a self-gravitating collisionless gas where the gravitational interaction is modeled according to MOND (modified Newtonian dynamics). For the resulting modified Vlasov-Poisson system we establish the existence of spherically…

Mathematical Physics · Physics 2013-12-17 Gerhard Rein

General analytic arguments lead us to expect that in the modified dynamics (MOND) self-gravitating disks are more stable than their like in Newtonian dynamics. We study this question numerically, using a particle-mesh code based on a…

Astrophysics · Physics 2014-10-13 Rafael Brada , Mordehai Milgrom

Milgrom has proposed that the appearance of discrepancies between the Newtonian dynamical mass and the directly observable mass in astronomical systems could be due to a breakdown of Newtonian dynamics in the limit of low accelerations…

Astrophysics · Physics 2007-05-23 R. H. Sanders

The modified Newtonian dynamics (MOND) has been proposed as an alternative to the dark matter paradigm; the philosophy behind is that there is no dark matter and we witness a violation of the Newtonian law of dynamics. In this article, we…

Astrophysics · Physics 2009-01-22 Luc Blanchet

Building upon previous work that derived an alternative to (galactic) dark matter in the form of Modified Newtonian Dynamics (MOND), with a specific theoretical interpolating function, from the motion of a non-relativistic test particle in…

General Relativity and Quantum Cosmology · Physics 2025-11-20 M. E. Pietrzyk , V. A. Kholodnyi , I. V. Kanattšikov , J. Kozicki

Globular clusters (GCs) in the Milky Way have characteristic velocity dispersions that are consistent with the predictions of Newtonian gravity, and may be at odds with Modified Newtonian Dynamics (MOND). We discuss a modified gravity (MOG)…

Astrophysics · Physics 2008-06-14 J. W. Moffat , V. T. Toth

The MOdified Newtonian Dynamics (MOND) is an attempt to modify the gravitation theory to solve the Dark Matter problem. This phenomenology is very successful at the galactic level. The main effect produced by MOND in the Solar System is…

General Relativity and Quantum Cosmology · Physics 2014-05-14 A. Hees , W. M. Folkner , R. A. Jacobson , R. S. Park

Dwarf and low surface brightness galaxies are ideal objects to test modified Newtonian dynamics (MOND), because in most of these galaxies the accelerations fall below the threshold below where MOND supposedly applies. We have selected from…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 R. A. Swaters , R. H. Sanders , S. S. McGaugh

Modified Newtonian dynamics (MOND), which postulates a breakdown of Newton's laws of gravity/dynamics below some critical acceleration threshold, can explain many otherwise puzzling observational phenomena on galactic scales. MOND competes…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-15 David Vokrouhlický , David Nesvorný , Scott Tremaine

(Abridged) Dynamical friction can be used to distinguish Newtonian gravity and modified Newtonian dynamics (MOND) because it works differently in these frameworks. This concept, however, has yet to be explored very much with MOND. Previous…

Astrophysics of Galaxies · Physics 2021-09-29 Michal Bílek , Hongsheng Zhao , Benoit Famaey , Oliver Müller , Pavel Kroupa , Rodrigo Ibata

The Newtonian gravitational constant $G$ obeys the dimensional relation $[G] [M] [a] = [v]^4$, where $M$, $a$, and $v$ denote mass, acceleration, and speed, respectively. Since the baryonic Tully-Fisher (BTF) and Faber-Jackson (BFJ)…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Dimitris M. Christodoulou , Demosthenes Kazanas

The extremely small accelerations of objects required for the the onset of modified Newtonian dynamics, or MOND, makes testing the hypothesis in conventional terrestrial laboratories virtually impossible. This is due to the large background…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Saurya Das , S. N. Patitsas

It is shown that the MOdified Newtonian Dynamics (MOND) explains the tilt of the fundamental plane of elliptical galaxies without the need of non-baryonic dark matter. Results found for elliptical galaxies extends to globular clusters and…

Astrophysics · Physics 2007-05-23 Riccardo Scarpa

Modified Newtonian Dynamics (MOND) has been shown to be able to fit spiral galaxy rotation curves as well as giving a theoretical foundation for empirically determined scaling relations, such as the Tully - Fisher law, without the need for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 V. F. Cardone , G. Angus , A. Diaferio , C. Tortora , R. Molinaro

The stability of galaxies is either explained by the existence of dark matter or caused by a modification of Newtonian acceleration (MOND). Here we show that the modification of the Newtonian dynamics can equally well be obtained by a…

Astrophysics of Galaxies · Physics 2024-04-24 Søren Toxvaerd

We investigated the impact of three different modifications of Newtonian gravity on motions of Keplerian objects within the Solar System. These objects are located at distances of the order of the distance to the Oort cloud. With these…

Earth and Planetary Astrophysics · Physics 2015-05-19 Michael Sokaliwska , Hans-Joerg Fahr , Pavel Kroupa