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As gravity is a long-range force, one might a priori expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. At the post-Newtonian approximation, two parameters suffice to describe…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Thibault Damour , Gilles Esposito-Farese

Gravity being a long-range force, one might {\it a priori} expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. The phenomenology of preferred-frame effects, in the…

Astrophysics · Physics 2009-10-28 J. F. Bell , F. Camilo , T. Damour

Gravitational preferred frame effects are generally predicted by alternative theories that exhibit an isotropic violation of local Lorentz invariance of gravity. They are described by three parameters in the parametrized post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2013-07-29 Lijing Shao , R. Nicolas Caballero , Michael Kramer , Norbert Wex , David J. Champion , Axel Jessner

The perturbation of the lunar motion caused by a hypothetical violation of the equivalence principle is analytically worked out in terms of power series \`a la Hill-Brown. The interaction with the quadrupolar tide is found to amplify the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Thibault Damour , David Vokrouhlicky

Gravitomagnetism--a motional coupling of matter analogous to the Lorentz force in electromagnetism--has observable consequences for any scenario involving differing mass currents. Examples include gyroscopes located near a rotating massive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. W. Murphy , K. Nordtvedt , S. G. Turyshev

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

We analytically calculate some orbital effects induced by the Lorentz-invariance/momentum-conservation PPN parameter $\alpha_3$ in a gravitationally bound binary system made of a compact primary orbited by a test particle. We neither…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Lorenzo Iorio

The Sun's relativistic gravitational gradient accelerations of Earth and Moon, dependent on the motions of the latter bodies, act upon the system's internal angular momentum. This spin-orbit force (which plays a part in determining the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kenneth Nordtvedt

Analytical expressions for the orbital precessions affecting the relative motion of the components of a local binary system induced by Lorentz-violating Preferred Frame Effects (PFE) are explicitly computed in terms of the PPN parameters…

General Relativity and Quantum Cosmology · Physics 2014-01-06 Lorenzo Iorio

Preferred frame effects (PFEs) are predicted by a number of alternative gravity theories which include vector or additional tensor fields, besides the canonical metric tensor. In the framework of parametrized post-Newtonian (PPN) formalism,…

General Relativity and Quantum Cosmology · Physics 2013-06-04 Lijing Shao , Norbert Wex , Michael Kramer

We analyze the sensitivity of galaxy and weak-lensing surveys to detect preferred directions in the gravitational interaction. We consider general theories of gravity involving additional vector degrees of freedom with non-vanishing spatial…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Miguel Aparicio Resco , Antonio L. Maroto

More than 30 years of lunar laser ranging has produced several key tests of gravitational theory, including confirmation that bodies fall in external gravity at rates independent of their internal gravitational binding energy, and that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth Nordtvedt

Laser pulses fired at retroreflectors on the Moon provide very accurate ranges. Analysis yields information on Earth, Moon, and orbit. The highly accurate retroreflector positions have uncertainties less than a meter. Tides on the Moon show…

General Relativity and Quantum Cosmology · Physics 2010-03-24 James G. Williams , Slava G. Turyshev , Dale H. Boggs , J. Todd Ratcliff

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

Setting up a relativistic lunar reference frame is of a prime importance in the context of future exploration missions to the Moon. If the procedure for building a consistent reference frame within the framework of the general theory of…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Adrien Bourgoin , Pascale Defraigne , Frédéric Meynadier

We construct a set of post-Newtonian reference frames for a comprehensive study of the orbital dynamics and rotational motion of the Moon and Earth by means of lunar laser ranging (LLR) with the precision of one millimeter. We also derive…

General Relativity and Quantum Cosmology · Physics 2017-06-27 Sergei Kopeikin , Yi Xie

We construct a set of reference frames for description of the orbital and rotational motion of the Moon. We use a scalar-tensor theory of gravity depending on two parameters of the parametrized post-Newtonian (PPN) formalism and utilize the…

General Relativity and Quantum Cosmology · Physics 2009-11-23 Yi Xie , Sergei Kopeikin

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field…

General Relativity and Quantum Cosmology · Physics 2009-03-12 S. Capozziello , M. De Laurentis , F. Garufi , L. Milano

A two-body system hypothetically affected by an additional radial acceleration H v_r, where v_r is the radial velocity of the binary's proper orbital motion, would experience long-term temporal changes of both its semimajor axis a and the…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Lorenzo Iorio

In the presence of a weak gravitational wave (GW) background, astrophysical binary systems act as high-quality resonators, with efficient transfer of energy and momentum between the orbit and a harmonic GW leading to potentially detectable…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-23 Joshua W. Foster , Diego Blas , Adrien Bourgoin , Aurelien Hees , Míriam Herrero-Valea , Alexander C. Jenkins , Xiao Xue
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