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As gravity is a long-range force, it is {\it a priori} conceivable that the Universe's global matter distribution select a preferred rest frame for local gravitational physics. At the post-Newtonian approximation, the phenomenology of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Thibault Damour , David Vokrouhlicky

The Apollo 15 & 16 missions were the first to explore the Lunar surface chemistry by investigating about 10% of the Lunar surface using a remote sensing X-ray fluorescence spectrometer experiment. The data obtained have been extensively…

Earth and Planetary Astrophysics · Physics 2021-06-09 Anniek J. Gloudemans , Erik Kuulkers , Riccardo Campana , Alfredo Escalante , Merlin Kole , Yoan Mollard

We present data from the Apache Point Observatory Lunar Laser-ranging Operation (APOLLO) covering the 15-year span from April 2006 through the end of 2020. APOLLO measures the earth-moon separation by recording the round-trip travel time of…

At present, tracking data for planetary missions largely consists of radio observables: range-rate range and angular position. Future planetary missions may use Interplanetary Laser Ranging (ILR) as a tracking observable. Two-way ILR will…

Earth and Planetary Astrophysics · Physics 2018-07-25 Dominic Dirkx , Ivan Prochazka , Sven Bauer , Pieter Visser , Ron Noomen , Leonid I. Gurvits , Bert Vermeersen

We present new constraints on Lorentz symmetry (LS) violations with lunar laser ranging (LLR). Those constraints are derived in the standard-model extension (SME) framework aiming at parameterizing any LS deviations in all sectors of…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Adrien Bourgoin , Aurélien Hees , Christophe Le Poncin-Lafitte , Sébastien Bouquillon , Gérard Francou , Marie-Christine Angonin

During the past century Einstein's theory of General Relativity gave rise to an experimental triumph, however, there are still aspects of this theory to be measured or more accurately tested. One of the main challenges in experimental…

General Relativity and Quantum Cosmology · Physics 2008-09-19 Ignazio Ciufolini

Based on general relativity, clock comparisons enable the determination of the gravity potential relative to a stable reference. Lunar surface clocks, owing to the Moon's low-noise conditions, high orbital stability, and broad Earth…

Geophysics · Physics 2025-06-23 Mingyue Zhang , Jürgen Müller , Sergei M. Kopeikin

We analyze the dynamics of the Sun-Earth-Moon system in the context of a particular class of theories of gravity where curvature and matter are nonminimally coupled (NMC). These theories can potentially violate the Equivalence Principle as…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Riccardo March , Orfeu Bertolami , Marco Muccino , Simone Dell'Agnello

For many years, lunar laser ranging (LLR) observations using a green wavelength have suffered an inhomogeneity problem both temporally and spatially. This paper reports on the implementation of a new infrared detection at the Grasse LLR…

Instrumentation and Methods for Astrophysics · Physics 2017-06-21 C. Courde , J. M. Torre , E. Samain , G. Martinot-Lagarde , M. Aimar , D. Albanese , P. Exertier , A. Fienga , H. Mariey , G. Metris , H. Viot , V. Viswanathan

Lunar laser ranging analysis, as regularly performed in the solar system barycentric frame, requires the presence of the gravitomagnetic term in the equation of motion at the strength predicted by general relativity. The same term is…

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

In this paper the effect of the post-Newtonian gravitomagnetic force on the mean longitudes $l$ of a pair of counter-rotating Earth artificial satellites following almost identical circular equatorial orbits is investigated. The possibility…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio , Herbert I. M. Lichtenegger

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

The proposed Antihydrogen Gravity experiment at Fermilab (P981) will directly measure the gravitational attraction ("gbar") between antihydrogen and the Earth, with an accuracy of 1% or better. The following key question has been asked by…

High Energy Physics - Theory · Physics 2008-08-29 Mark Fischler , Joe Lykken , Tom Roberts

We define passive and active gravitational mass operators of the simplest composite quantum body - a hydrogen atom. Although they do not commute with its energy operator, the equivalence between the expectation values of passive and active…

General Relativity and Quantum Cosmology · Physics 2014-04-16 Andrei G. Lebed

General relativity (GR) is a highly successful theory that describes gravity as a geometric phenomenon. The gravitational redshift, a classic test of GR, can potentially be violated in alternative gravity theories, and experimental tests on…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Cheng-Gang Qin , Tong Liu , Xiao-Yi Dai , Peng-Bin Guo , Weisheng Huang , Xiang-Pei Liu , Yu-Jie Tan , Cheng-Gang Shao

A next-generation lunar laser ranging apparatus using the 3.5 m telescope at the Apache Point Observatory in southern New Mexico has begun science operation. APOLLO (the Apache Point Observatory Lunar Laser-ranging Operation) has achieved…

This paper discusses new Fundamental physics experiment that will test relativistic gravity at the accuracy better than the effects of the second order in the gravitational field strength, ~G^2. The Laser Astrometric Test Of Relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth Nordtvedt

This paper discusses new fundamental physics experiment to test relativistic gravity at the accuracy better than the effects of the 2nd order in the gravitational field strength. The Laser Astrometric Test Of Relativity (LATOR) mission uses…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

We present Faraday Rotation Measure (RM) properties of seven active galactic nuclei (AGN), observed with the NRAO VLA at three epochs in 2012-2014. Data was taken at 1.4, 2.2, 5.0, 8.2, 15.4, 22.4, 33.5 and 43.1 GHz quasi simultaneously in…

High Energy Astrophysical Phenomena · Physics 2015-06-23 E. V. Kravchenko , W. D. Cotton , Y. Y. Kovalev