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Many long-range modifications of the Newtonian/Einsteinian standard laws of gravity have been proposed in the recent past to explain various celestial phenomena occurring at different scales ranging from solar system to the entire universe.…

General Relativity and Quantum Cosmology · Physics 2009-08-03 Lorenzo Iorio

As the second part of our study, in this paper, we proceed to refine the solar system model by incorporating the gravitational influence of Plutinos in Neptune's 2:3 resonance. We aim to develop the arc model to represent the global…

Earth and Planetary Astrophysics · Physics 2023-05-30 Yue Chen , Jian Li

We apply our recent results on orbital dynamics around a mass-varying central body to the phenomenon of accretion of Dark Matter-assumed not self-annihilating-on the Sun and the major bodies of the solar system due to its motion throughout…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

We present an improved formula for the anomalous radial velocity of the star during planetary transits due to the Rossiter-McLaughlin (RM) effect. The improvement comes from a more realistic description of the stellar absorption line…

Earth and Planetary Astrophysics · Physics 2015-05-30 Teruyuki Hirano , Yasushi Suto , Joshua N. Winn , Atsushi Taruya , Norio Narita , Simon Albrecht , Bun'ei Sato

The radiative and particulate loss of mass by the Sun, -9.13*10^-14 Solar masses per year or more causes the orbits of the planets to expand at the same rate, and their periods to lengthen at twice this rate. Unfortunately, under the…

Astrophysics · Physics 2008-01-25 Peter D. Noerdlinger

Since last two decades $f(R)$ gravity theory has been extensively used as a serious alternative of general relativity to mimic the effects of dark energy. The theory presents a Yukawa correction to Newtonian gravitational potential, acting…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Debojit Paul , Sanjeev Kalita

Existing upper limits on variations in the photospheric radius of the Sun during the solar magnetic activity cycle are at a fractional amplitude of 2x10^{-4}. At that level, the transit duration of a close-in planet around a Sun-like star…

Astrophysics · Physics 2009-11-13 Abraham Loeb

We significantly constrain the sky position, distance, and mass of a possible additional, distant planet in the solar system by examining its influence on the distance between Earth and the Cassini Spacecraft. Our preferred region is…

Earth and Planetary Astrophysics · Physics 2016-10-05 Matthew J. Holman , Matthew J. Payne

Placing the architecture of the Solar System within the broader context of planetary architectures is one of the primary topics of interest within planetary science. Exoplanet discoveries have revealed a large range of system architectures,…

Earth and Planetary Astrophysics · Physics 2023-02-23 Stephen R. Kane

The inverse square law of gravity is poorly probed by experimental tests at distances of ~ 10 AUs. Recent analysis of the trajectory of the Pioneer 10 and 11 spacecraft have shown an unmodeled acceleration directed toward the Sun which was…

Astrophysics · Physics 2009-06-23 John F. Wallin , David S. Dixon , Gary L. Page

Minor bodies of the solar system can be used to measure the spectrum of the Sun as a star by observing sunlight reflected by their surfaces. To perform an accurate measurement of the radial velocity of the Sun as a star by this method, it…

Solar and Stellar Astrophysics · Physics 2015-05-06 A. F. Lanza , P. Molaro

The perihelion advance of the orbit of Mercury has long been one of the observational cornerstones for testing General Relativity (G.R.). The main goal of this paper is to discuss how, presently, observational and theoretical constraints…

Astrophysics · Physics 2009-11-07 S. Pireaux , J. P. Rozelot , S. Godier

We calculate the rate of energy loss from compact astrophysical objects due to a scalar field in screened modified gravity models of the chameleon, dilaton and symmetron types. The cosmological evolution of the field results in a…

General Relativity and Quantum Cosmology · Physics 2014-10-31 Philippe Brax , Anne-Christine Davis , Jeremy Sakstein

We argue that Solar system tests do not rule out 1/R gravity at least due to the reason addressed in Phys. Rev. D 74 (2006) 121501 [astro-ph/0610483] (ref. [1]) and subsequent published papers. Ref. [1] has not only modified the…

Astrophysics · Physics 2009-12-28 Qasem Exirifard

We analytically work out the long-term orbital perturbations induced by a homogeneous circular ring of radius Rr and mass mr on the motion of a test particle in the cases (I): r > R_r and (II): r < R_r. In order to extend the validity of…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Lorenzo Iorio

The aim of this work is to provide new insights on the dynamics associated to the resonances which arise as a consequence of the coupling of the effect due to the oblateness of the Earth and the Solar Radiation Pressure (SRP) effect for an…

Earth and Planetary Astrophysics · Physics 2022-12-14 Roberto Paoli

Modified Newtonian Dynamics (MOND), postulating a breakdown of Newtonian mechanics at low accelerations, has considerable success at explaining galaxy kinematics. However, the quadrupole of the gravitational field of the Solar System (SS)…

Astrophysics of Galaxies · Physics 2024-04-23 Harry Desmond , Aurélien Hees , Benoit Famaey

The expansion in multipoles of the gravitational potential of a rotating body affects the orbital motion of a test particle orbiting it with long-term perturbations both at a classical and at a relativistic level. In this preliminary…

General Relativity and Quantum Cosmology · Physics 2013-09-10 L. Iorio

Modified gravity theories can produce strong signals in the vicinity of the saddles of the total gravitational potential. In a sub-class of these models this translates into diverging time-delays for echoes crossing the saddles. Such models…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Joao Magueijo , Ali Mozaffari

The Rossiter-McLaughlin (hereafter RM) effect is a key tool for measuring the projected spin-orbit angle between stellar spin axes and orbits of transiting planets. However, the measured radial velocity (RV) anomalies produced by this…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gwenaël Boué , Marco Montalto , Isabelle Boisse , Mahmoudreza Oshagh , Nuno C. Santos