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I pinpoint a previously unrecognized MOND effect that may act in the inner solar system, and is due to the galactic acceleration, g_g=eta*a0: a byproduct of the MOND external-field effect. Predictions of the effect are not generic to the…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-25 Mordehai Milgrom

We looked at the orbital motions of test particles according to the External Field Effect (EFE) predicted by the MOdified Newtonian Dynamics (MOND) in the Oort cloud which falls in the deep MONDian regime (r\approx 50-150 kAU). Concerning…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Lorenzo Iorio

We show that Solar System tests can place very strong constraints on K-mouflage models of gravity, which are coupled scalar field models with nontrivial kinetic terms that screen the fifth force in regions of large gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-28 Alexandre Barreira , Philippe Brax , Sebastien Clesse , Baojiu Li , Patrick Valageas

The standard $\Lambda$CDM paradigm seems to describe cosmology and large scale structure formation very well. However, a number of puzzling observations remain on galactic scales. An example is the anisotropic distribution of satellite…

Astrophysics of Galaxies · Physics 2020-04-07 Indranil Banik , Hongsheng Zhao

We discuss the influence of the cosmological constant $\Lambda$ on the gravitational equations of motion of bodies with arbitrary masses and eventually solve the two-body problem. Observational constraints are derived from measurements of…

Astrophysics · Physics 2009-11-13 Philippe Jetzer , Mauro Sereno

We study the relationship of zonal gravity coefficients, J_2n, zonal winds, and axial moment of inertia (MoI) by constructing models for the interiors of giant planets. We employ the nonperturbative concentric Maclaurin spheroid (CMS)…

Earth and Planetary Astrophysics · Physics 2023-08-10 Burkhard Militzer , William B. Hubbard

Dark matter or modifications of the Newtonian inverse-square law in the solar-system are studied with accurate planetary astrometric data. From extra-perihelion precession and possible changes in the third Kepler's law, we get an upper…

Astrophysics · Physics 2009-11-11 M. Sereno , Ph. Jetzer

In this work, we investigated Bayesian methodologies for constraining in the Solar System a Yukawa suppression of the Newtonian potential -- which we interpret as the effect of a non-null graviton mass -- by considering its impact on…

Earth and Planetary Astrophysics · Physics 2023-08-02 Vincenzo Mariani , Agnès Fienga , Olivier Minazzoli , Mickaël Gastineau , Jacques Laskar

In this paper we use Delta P = -1.772341 +/- 13.153788 s between the phenomenologically determined orbital period P_b of the PSR J0737-3039 double pulsar system and the purely Keplerian period P^(0)=2\pi\sqrt{a^3/G(m_A+m_B)} calculated with…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Lorenzo Iorio , Matteo Luca Ruggiero

We analytically work out the orbital effects caused by a Rindlertype extra-acceleration ARin which naturally arises in some recent models of modified gravity at large distances. In particular, we focus on the perturbations induced by it on…

General Relativity and Quantum Cosmology · Physics 2011-05-24 Lorenzo Iorio

It was recently proposed that the effects usually attributed to particle dark matter on galaxy scales are due to the displacement of dark energy by baryonic matter, a paradigm known as emergent gravity. This formalism leads to predictions…

Astrophysics of Galaxies · Physics 2017-03-22 Aurelien Hees , Benoit Famaey , Gianfranco Bertone

MOND predicts that the asymptotic gravitational potential of an isolated, bounded (baryonic) mass, M, is phi(r)=(MGa0)^{1/2}ln(r); a0 is the MOND constant. Relativistic MOND theories predict that the lensing effects of M are dictated by…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-26 Mordehai Milgrom

One of the most well-known tests of General Relativity (GR) results from combining measurements of the anomalous precession of the orbit of Mercury with a determination of the gravitational quadrupole moment of the Sun J_2. The latter can…

Astrophysics · Physics 2016-08-30 F. P. Pijpers

We derive the equations of motion, the periastron shift, and the gravitational radiation damping for quasicircular compact binaries in a massive variant of the Brans-Dicke theory of gravity. We also study the Shapiro time delay and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Justin Alsing , Emanuele Berti , Clifford M. Will , Helmut Zaglauer

TThe detection of gravitational waves from merging binary black holes has led to a bound on the mass of a hypothetical massive carrier of the gravitational interaction predicted by some modified gravity theories (a massive graviton, for…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Clifford M. Will

Practically all the full-fledged MOND theories propounded to date are of the modified-gravity (MG) type: they modify only the Newtonian, Poisson action of the gravitational potential, or the general-relativistic Einstein-Hilbert action,…

Astrophysics of Galaxies · Physics 2023-11-17 Mordehai Milgrom

Screened modified gravity (SMG) and Brans-Dicke (BD) gravity are typical examples of scalar-tensor theories with and without screening mechanisms, which can suppress the scalar field in dense regions. In this paper, we investigate the tests…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Xing Zhang , Rui Niu , Wen Zhao

We test Milgromian dynamics (MOND) using wide binary stars (WBs) with separations of $2-30$ kAU. Locally, the WB orbital velocity in MOND should exceed the Newtonian prediction by $\approx 20\%$ at asymptotically large separations given the…

Solar and Stellar Astrophysics · Physics 2024-09-06 Indranil Banik , Charalambos Pittordis , Will Sutherland , Benoit Famaey , Rodrigo Ibata , Steffen Mieske , Hongsheng Zhao

We have used publicly available kinematic data for the S2 star to constrain the parameter space of MOdified Gravity. Integrating geodesics and using a Markov Chain Monte Carlo algorithm we have provided with the first constraint on the…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Riccardo Della Monica , Ivan de Martino , Mariafelicia de Laurentis

We revisit the application of Modified Newtonian Dynamics (MOND) to galaxy clusters. We confront the high quality X-ray data for eight clusters of galaxies observed by the \xmm satellite with the predictions of MOND. We obtain a ratio of…

Astrophysics · Physics 2009-11-11 Etienne Pointecouteau , Joseph Silk