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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

The Lunar Laser Ranging (LLR) experiment provides precise observations of the lunar orbit that contribute to a wide range of science investigations. In particular, time series of highly accurate measurements of the distance between the…

General Relativity and Quantum Cosmology · Physics 2012-08-17 James G. Williams , Slava G. Turyshev , Dale Boggs

In this note we mainly explore the possibility of measuring the action of the intrinsic gravitomagnetic field of the rotating Earth on the orbital motion of the Moon with the Lunar Laser Ranging (LLR) technique. Expected improvements in it…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Lorenzo Iorio

We present the first constraints on pure-gravity sector Standard-Model Extension (SME) parameters using Lunar Laser Ranging (LLR). LLR measures the round trip travel time of light between the Earth and the Moon. With 34+ years of LLR data,…

General Relativity and Quantum Cosmology · Physics 2016-11-09 James B. R. Battat , John F. Chandler , Christopher Stubbs

We reexamine non-Einsteinian effects observable in the orbital motion of low-orbit artificial Earth satellites. The motivations for doing so are twofold: (i) recent theoretical studies suggest that the correct theory of gravity might…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Thibault Damour , Gilles Esposito-Farese

LLR measures the distance between observatories on Earth and retro-reflectors on Moon since 1969. In this paper, we study the possible violation of the equality of passive and active gravitational mass ($m_{a}/m_{p}$), for Aluminium (Al)…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Vishwa Vijay Singh , Jürgen Müller , Liliane Biskupek , Eva Hackmann , Claus Lämmerzahl

Existing capabilities in laser ranging, optical interferometry and metrology, in combination with precision frequency standards, atom-based quantum sensors, and drag-free technologies, are critical for the space-based tests of fundamental…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Slava G Turyshev , James G. Williams

In this paper we investigate the possibility of constraining the hypothesis of a fifth force at the length scale of two Earth's radii by investigating the effects of a Yukawa gravitational potential on the orbits of the laser--ranged LAGEOS…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

A decreasing gravitational constant, G, coupled with angular momentum conservation is expected to increrase a planetary semimajor axis, a, as \dot a/a=-\dot G/G. Analysis of lunar laser ranging data strongly limits such temporal variations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James G. Williams , Slava G. Turyshev , Dale H. Boggs

Processing the data of lunar laser ranging (LLR) points to the effect of anomalous increase in the lunar semimajor axis (with an excessive rate about 1.3 cm/yr), which cannot be attributed to the well-known tidal exchange of angular…

Astrophysics · Physics 2007-05-23 Yurii V. Dumin

We point out that by comparing the total mass (in gravitational units) of the earth-moon system, as determined by lunar laser ranging, with the sum of the lunar mass as independently determined by its gravitational action on satellites or…

Astrophysics · Physics 2009-11-13 Stephen L. Adler

Lunar laser ranging has provided many of the best tests of gravitation since the first Apollo astronauts landed on the Moon. The march to higher precision continues to this day, now entering the millimeter regime, and promising continued…

General Relativity and Quantum Cosmology · Physics 2013-09-25 T. W. Murphy

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

In this paper we examine the possibility of testing the equivalence principle, in its weak form, by analyzing the orbital motion of a pair of artificial satellites of different composition moving along orbits of identical shape and size in…

General Relativity and Quantum Cosmology · Physics 2007-06-14 Lorenzo Iorio

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

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

A primary objective of the Lunar Laser Ranging (LLR) experiment is to provide precise observations of the lunar orbit that contribute to a wide range of science investigations. Time series of the highly accurate measurements of the distance…

General Relativity and Quantum Cosmology · Physics 2009-07-24 James G. Williams , Slava G. Turyshev , Dale H. Boggs

We investigate the magnetic field in an intermediate-velocity filament for which the H$\alpha$ intensity in the WHAM survey correlates with excess Faraday rotation of extragalactic radio sources over the length of the filament from b ~ 20…

Astrophysics of Galaxies · Physics 2016-08-17 Jeroen M. Stil , Athena Hryhoriw

We present constraints on violations of Lorentz Invariance based on Lunar Laser Ranging (LLR) data. LLR measures the Earth-Moon separation by timing the round-trip travel of light between the two bodies, and is currently accurate to a few…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James B. R. Battat , John F. Chandler , Christopher W. Stubbs

The accuracy reached in the past few years by Satellite Laser Ranging (SLR) allows for measuring even tiny features of the Earth's gravitational field predicted by Einstein's General Relativity by means of artificial satellites. The…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Lorenzo Iorio
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