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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

The planar motion of a testing body in the field of gravity of the massive ring is studied. The "perihelion" precession due to non-relativistic reasons is demonstrated on this simple example of planar motion in the radially symmetric (in…

Classical Physics · Physics 2007-05-23 Michal Demetrian

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

This chapter presents Modified Newtonian Dynamics (MOND), the proposal that, below a certain acceleration scale $a_0$, dynamics departs from the Newtonian expectation. In that context, the determining factor for the emergence of apparent…

Astrophysics of Galaxies · Physics 2025-01-29 Benoit Famaey , Amel Durakovic

An explanation is presented for the rather strong total surface differential rotation of the observed very young solar-type stars like AB Dor and PZ Tel. Due to its rapid rotation a nonuniform energy flux leaves the stellar core so that the…

Astrophysics · Physics 2016-08-16 G. Rüdiger , M. Küker

The estimate of the change rate of the solar gravitational parameter $\mathrm{d}(GM_{\odot})/\mathrm{d}t$ is obtained from processing modern positional observations of planets and spacecraft. Observations were processed and parameters were…

Earth and Planetary Astrophysics · Physics 2022-01-25 E. V. Pitjeva , N. P. Pitjev , D. A. Pavlov , C. C. Turygin

In the framework of the emergent gravity scenario by Verlinde, it was recently observed by Liu and Prokopec that, among other things, an anomalous pericenter precession would affect the orbital motion of a test particle orbiting an isolated…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Lorenzo Iorio

This paper focuses on the mission design for the Laser Astrometric Test Of Relativity (LATOR). This mission uses laser interferometry between two micro-spacecraft whose lines of sight pass close by the Sun to accurately measure deflection…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

We propose that there is a regime of quantum gravity phenomena, for the case that the cosmological constant is small and positive, which concerns phenomena at temperatures below the deSitter temperature, or length scales larger than the…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Lee Smolin

The long-term evolution of the solar system is chaotic. In some cases, chaotic diffusion caused by an overlap of secular resonances can increase the eccentricity of planets when they enter into a linear secular resonance, driving the system…

Earth and Planetary Astrophysics · Physics 2023-03-13 Garett Brown , Hanno Rein

We phenomenologically put local constraints on the rotation of distant masses by using the planets of the solar system. First, we analytically compute the orbital secular precessions induced on the motion of a test particle about a massive…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Lorenzo Iorio

A general account of MOND theory is given. I start with the basic tenets of MOND, which posit departure from standard dynamics in the limit of low acceleration -- below an acceleration constant a0 -- where dynamics become scale invariant. I…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-16 Mordehai Milgrom

The POLAR Investigation of the Sun (POLARIS) mission uses a combination of a gravity assist and solar sail propulsion to place a spacecraft in a 0.48 AU circular orbit around the Sun with an inclination of 75 degrees with respect to solar…

The Michelson Doppler Imager (MDI) aboard the Solar and Heliospheric Observatory observed the transits of Mercury on 2003 May 7 and 2006 November 8. Contact times between Mercury and the solar limb have been used since the 17th century to…

Solar and Stellar Astrophysics · Physics 2015-06-04 Marcelo Emilio , Jeff R. Kuhn , Rock I. Bush , Isabelle F. Scholl

In 2002 a measurement of the effect of solar gravity upon the phase of coherent microwave beams passing near the Sun has been carried out with the Cassini mission, allowing a very accurate measurement of the PPN parameter $\gamma$. The data…

General Relativity and Quantum Cosmology · Physics 2009-02-01 B. Bertotti , N. Ashby , L. Iess

Typical stars in the Milky Way galaxy have velocities of hundreds of kilometres per second and experience gravitational accelerations of $\sim 10^{-10}$ m s$^{-2}$, resulting in velocity changes of a few centimetres per second over a…

Astrophysics of Galaxies · Physics 2019-09-18 Hamish Silverwood , Richard Easther

Galaxy rotation curves determined observationally out to a radius well beyond the galaxy cores can provide a critical test of modified gravity models without dark matter. The predicted rotational velocity curve obtained from…

Astrophysics of Galaxies · Physics 2015-03-05 J. W. Moffat , V. T. Toth

The moon is receding from earth at an average rate of 3.8 cm/yr [6][7][9][12].This anomaly cannot be attributed to the well-known tidal exchange of angular momentum between earth and moon [8]. A secular change in the astronomical unit AU is…

General Physics · Physics 2010-01-09 M. Y. Amin

We consider for the first time the implications on the modified gravity MOND model of galaxies, of the presence of dark baryons, under the form of cold molecular gas in galaxy discs. We show that MOND models of rotation curves are still…

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

By the time, in 1937, the Swiss astronomer Zwicky measured the velocity dispersion of the Coma cluster of galaxies, astronomers somehow got acquainted with the idea that the universe is filled by some kind of dark matter. After almost a…

Astrophysics · Physics 2009-11-11 Riccardo Scarpa