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Moderhai Milgrom's Modified Newtonian Dynamics (MOND) correction to Newtonian gravity or inertia is shown to be equivalent to a more fundamental formulation considering a non-inertial local reference frame and the fixed background of the…

General Physics · Physics 2026-01-08 Manuel Uruena Palomo

Lo, Sargent, and Young (1993) have recently concluded that the masses of some dwarf galaxies, as deduced by the modified dynamics (MOND) from the observed velocity dispersions, are systematically smaller than the observed masses, by a…

Astrophysics · Physics 2009-10-22 M. Milgrom

We present the analysis of 12 high-resolution galactic rotation curves from The HI Nearby Galaxy Survey (THINGS) in the context of modified Newtonian dynamics (MOND). These rotation curves were selected to be the most reliable for mass…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-12 G. Gentile , B. Famaey , W. J. G. de Blok

The missing gravity in galaxies requires dark matter, or alternatively a modification of gravity or inertia. These theoretical possibilities of fundamental importance may be distinguished by the statistical relation between the observed…

Astrophysics of Galaxies · Physics 2022-12-21 Kyu-Hyun Chae

The proximity of the MOND acceleration constant with cosmological accelerations -- for example, a0 cH0/2pi -- points to its possibly decreasing with cosmic time. I begin to consider the secular changes induced in galactic systems by such…

Astrophysics of Galaxies · Physics 2015-02-19 Mordehai Milgrom

We compare N-body simulations of isolated galaxies performed in both frameworks of modified Newtonian dynamics (MOND) and Newtonian gravity with dark matter (DM). We have developed a multigrid code able to efficiently solve the modified…

Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes

Modified Gravity (MOG) and Non-Local Gravity (NLG) are two alternative theories to General Relativity. They are able to explain the rotation curves of spiral galaxies and clusters of galaxies without including dark matter (Moffat & Rahvar…

Astrophysics of Galaxies · Physics 2017-11-09 M. H. Zhoolideh Haghighi , S. Rahvar

MOdified Newtonian dynamics (MOND) represents a phenomenological alternative to dark matter (DM) for the missing mass problem in galaxies and clusters of galaxies. We analyze the central regions of a local sample of $\sim 220$ early-type…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 C. Tortora , A. J. Romanowsky , V. F. Cardone , N. R. Napolitano , Ph. Jetzer

This is the third in a series of papers in which spiral galaxy rotation curves are considered in the context of Milgrom's modified dynamics (MOND). The present sample of 30 objects is drawn from a complete sample of galaxies in the Ursa…

Astrophysics · Physics 2009-10-30 R. H. Sanders , M. A. W. Verheijen

We propose that future experiments aiming at the detection of deviations from the inverse square gravitational law on submillimetric scales can be used to test the modified Newtonian dynamics theory (MOND). Current experiments are able to…

Astrophysics · Physics 2009-11-06 Sandro O. Mendes , Reuven Opher

Stars with a different vertical motion relative to the galactic disk have a different average acceleration. According to Modified Newtonian Dynamics (MOND) theories they should therefore have a different average orbital velocity while…

Astrophysics of Galaxies · Physics 2016-01-27 Ben Margalit , Nir J. Shaviv

Modified Newtonian dynamics (MOND) is an empirical theory originally proposed to explain the rotation curves of spiral galaxies by modifying the gravitational acceleration, rather than by invoking dark matter. Here,we set constraints on…

Astrophysics of Galaxies · Physics 2015-10-28 Fabio Iocco , Miguel Pato , Gianfranco Bertone

We test the modified Newtonian dynamics (MOND) theory with the velocity-dispersion profiles of Galactic globular clusters populating the outermost region of the Milky Way halo, where the Galactic acceleration is lower than the…

Astrophysics of Galaxies · Physics 2015-05-14 A. Sollima , C. Nipoti

We study the orbits in the MOND theory within a dwarf galaxy of mass Md at a distance of ~100kpc from a neighboring galaxy of mass Mg, such as ours. It is assumed that a second mass m<<Md is gravitationally bound to Md by a previously…

Astrophysics · Physics 2009-10-31 Daniel Muller , Reuven Opher

The dwarf galaxy NGC1052-DF2 has recently been identified as potentially lacking dark matter. If correct, this could be a challenge for MOND, which predicts that low surface brightness galaxies should evince large mass discrepancies.…

Astrophysics of Galaxies · Physics 2018-08-01 B. Famaey , S. McGaugh , M. Milgrom

Wide binary stars are within the low-acceleration regime in which galactic rotation curves deviate from Newtonian or general relativistic predictions. It has recently been observed that their rotation rates are similarly anomalous in a way…

General Physics · Physics 2019-08-14 M. E. McCulloch , J. H. Lucio

The iconic, deep-MOND-limit (DML) relation between acceleration and mass, $a\sim (M\mathcal{A}_0)^{1/2}/r$, implies that, in MOND, accelerations cannot be linear in the mass distribution ($\mathcal{A}_0\equiv Ga_0$ is the DML constant, and…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Mordehai Milgrom

I present a class of theories that generalize quasilinear MOND (QUMOND). Like QUMOND, these GQUMOND theories require solving only the linear Poisson equation (twice). Unlike QUMOND, their Lagrangian depends on higher derivatives of the…

Astrophysics of Galaxies · Physics 2023-10-05 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

We consider the application of quantum corrections computed using renormalization group arguments in the astrophysical domain and show that, for the most natural interpretation of the renormalization group scale parameter, a gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Davi C. Rodrigues , Patricio S. Letelier , Ilya L. Shapiro