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We compare N-body simulations performed in MOND with analogs in Newtonian gravity with dark matter (DM). We have developed a code which solves the Poisson equation in both gravity models. It is a grid solver using adaptive mesh refinement…

Astrophysics · Physics 2007-12-11 O. Tiret , F. Combes

We study a general relativistic gravitomagnetic 3-body effect induced by the spin angular momentum ${\boldsymbol S}_\textrm{X}$ of a rotating mass $M_\textrm{X}$ orbited at distance $r_\textrm{X}$ by a local gravitationally bound restricted…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Lorenzo Iorio

The combination of GR and the Standard Model disagrees with numerous observations on scales from our Solar System up. In the concordance model of cosmology, these contradictions are removed or alleviated by the introduction of three…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Glenn D. Starkman

Even though the orbital motions of most long-period comets are found to comply with the gravitational law, a rapidly increasing minority of these objects is found to display detectable outgassing-driven deviations. The systematic research…

Earth and Planetary Astrophysics · Physics 2021-09-24 Zdenek Sekanina

The strong equivalence principle is violated by gravity theories of Milgromian dynamics (MOND) through the action of the external field effect. We test two different Lagrangian theories AQUAL and QUMOND based on their numerical solutions of…

Astrophysics of Galaxies · Physics 2022-11-30 Kyu-Hyun Chae , Federico Lelli , Harry Desmond , Stacy S. McGaugh , James M. Schombert

MOdified Newtonian Dynamics (MOND) is an alternative to the standard Cold Dark Matter (CDM) paradigm which proposes an alteration of Newton's laws of motion at low accelerations, characterized by a universal acceleration scale a_0. It…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Alexander C. Mayer , Adelheid F. Teklu , Klaus Dolag , Rhea-Silvia Remus

We present detailed semi-analytical models for the formation of disk galaxies both in a Universe dominated by dark matter (DM), and in one for which the force law is given by modified Newtonian dynamics (MOND). We tune the models to fit the…

Astrophysics · Physics 2009-10-31 Frank C. van den Bosch , Julianne J. Dalcanton

Verlinde's heuristic argument for the interpretation of the standard Newtonian gravitational force as an entropic force is generalized by the introduction of a minimum temperature (or maximum wave length) for the microscopic degrees of…

High Energy Physics - Theory · Physics 2015-05-27 F. R. Klinkhamer , M. Kopp

We study the long-term evolution of selected hierarchical triple systems in Newtonian gravity. We employ analytic equations derived in Paper II for the evolution of orbit-averaged orbital elements for both inner and outer orbits, which…

Earth and Planetary Astrophysics · Physics 2025-07-11 Landen Conway , Clifford M. Will

We look for observational signatures that could discriminate between Newtonian and modified Newtonian (MOND) dynamics in the Milky Way, in view of the advent of large astrometric and spectroscopic surveys. Indeed, a typical signature of…

Astrophysics of Galaxies · Physics 2015-05-13 O. Bienaymé , B. Famaey , X. Wu , H. S. Zhao , D. Aubert

Modified Newtonian Dynamics (MOND) at low acceleration has been astonishingly powerful at explaining the flat rotation curve of galaxies and the relation between the baryonic content of the galaxies and their observed circular velocity,…

Astrophysics of Galaxies · Physics 2021-06-30 Mohammadtaher Safarzadeh , Abraham Loeb

The dynamics of the Magellanic Stream (MS) as a series of clouds extending from the Magellanic Clouds (MCs) to the south Galactic pole is affected by the distribution and the amount of matter in the Milky Way. We calculate the gravitational…

Astrophysics · Physics 2011-02-11 Hossein Haghi , Sohrab Rahvar , Akram Hasani-Zonooz

Significant nonradial, nongravitational accelerations with magnitudes incompatible with radiation-driven effects have been reported in seven small, photometrically inactive near-Earth objects. Two of these objects exhibit large transverse…

Earth and Planetary Astrophysics · Physics 2023-10-05 Aster G. Taylor , Davide Farnocchia , David Vokrouhlicky , Darryl Z. Seligman , Jordan K. Steckloff , Marco Micheli

X-ray emitting clusters of galaxies are considered in the context of modified Newtonian dynamics (MOND). I show that self-gravitating isothermal gas spheres are not good representations of rich clusters with respect to the radial gas…

Astrophysics · Physics 2009-11-07 R. H. Sanders

Modified gravity (MOG) is a covariant, relativistic, alternative gravitational theory whose field equations are derived from an action that supplements the spacetime metric tensor with vector and scalar fields. Both gravitational (spin 2)…

General Relativity and Quantum Cosmology · Physics 2018-03-14 M. A. Green , J. W. Moffat , V. T. Toth

We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-16 T. Bernal , S. Capozziello , J. C. Hidalgo , S. Mendoza

We present the largest collisionless $N$-body cosmological simulations in a MOdified Newtonian Dynamics (MOND) cosmology to date. Our 4 simulations cover $\Lambda$CDM as a baseline, a MOND with hot dark matter model known as $\nu$HDM, and 2…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-17 Alfie Russell , Indranil Banik , Oscar Cray , Hongsheng Zhao

Many models have been proposed to minimize the dark matter (DM) content in various astronomical objects at every scale in the Universe. The most widely known model isMOdified Newtonian Dynamics (MOND). MOND was first published by Mordehai…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-27 Gianni Pascoli

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 neoclassical causal version for Newton's acausal gravitational theory explains exactly the anomalous speed-changes observed for six Earth flybys and an anomalous lunar orbital speed-change (arXiv:1105.3857v10). This article estimates…

General Physics · Physics 2012-05-01 J. C. Hafele
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