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We review the results from {\it Mariner 10} regarding Mercury's gravity field and the results from radar ranging regarding topography. We discuss the implications of improving these results, including a determination of the polar component,…

Lorentz invariance is one of the fundamental tenets of Special Relativity, and has been extensively tested with laboratory and astrophysical observations. However, many quantum gravity models and theories beyond the Standard Model of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Shantanu Desai

We develop a high-precision model for laser ranging interferometric (LRI) observables of the GRACE Follow-On (GRACE-FO) mission. For this, we study the propagation of an electromagnetic wave in the gravitational field in the vicinity of an…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Slava G. Turyshev , Mikhail V. Sazhin , Viktor T. Toth

The laser-tracked geodetic satellites LAGEOS, LAGEOS II and LARES are currently employed, among other things, to measure the general relativistic Lense-Thirring effect in the gravitomagnetic field of the spinning Earth with the hope of…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Lorenzo Iorio

The Laser Ranging Interferometer onboard the Gravity Recovery and Climate Experiment Follow-On mission proved the feasibility of an interferometric sensor for inter-satellite length tracking with sub-nanometer precision, establishing an…

We show that isotropic component of circular polarization of stochastic gravitational wave background can be explored by breaking two dimensional configuration of multiple laser interferometers for correlation analysis. By appropriately…

Astrophysics · Physics 2008-11-26 Naoki Seto

Accurate analysis of precision ranges to the Moon has provided several tests of gravitational theory including the Equivalence Principle, geodetic precession, parameterized post-Newtonian (PPN) parameters $\gamma$ and $\beta$, and the…

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

LLR measures the distance between observatories on Earth and retro-reflectors on Moon since 1969. In this paper, we estimate the Earth Rotation Parameters (ERP; terrestrial pole offsets, $x_p$ and $y_p$, and Earth rotation phase,…

Geophysics · Physics 2022-12-20 Vishwa Vijay Singh , Liliane Biskupek , Jürgen Müller , Mingyue Zhang

PSR J1757$-$1854 is one of the most relativistic double neutron star binary systems known in our Galaxy, with an orbital period of $P_\text{b}=4.4\,\text{hr}$ and an orbital eccentricity of $e=0.61$. As such, it has promised to be an…

High Energy Astrophysical Phenomena · Physics 2023-06-28 A. D. Cameron , M. Bailes , D. J. Champion , P. C. C. Freire , M. Kramer , M. A. McLaughlin , C. Ng , A. Possenti , A. Ridolfi , T. M. Tauris , H. M. Wahl , N. Wex

The pericenter shift of a binary system represents a suitable observable to test for possible deviations from the Newtonian inverse-square law in favor of new weak interactions between macroscopic objects. We analyzed 13 years of tracking…

General Relativity and Quantum Cosmology · Physics 2011-06-21 David M. Lucchesi , Roberto Peron

The global astrometric observations of a GAIA-like satellite were modeled within the PPN formulation of Post-Newtonian gravitation. An extensive experimental campaign based on realistic end-to-end simulations was conducted to establish the…

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

(abridged) Gravitationally lensed quasars can be used as powerful cosmological and astrophysical probes. We can (i) infer the Hubble constant based on the time-delay technique, (ii) unveil substructures along the l.o.s. toward distant…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-05 D. Sluse , V. Chantry , P. Magain , F. Courbin , G. Meylan

We have made timing observations of binary pulsar PSR B1534+12 with radio telescopes at Arecibo, Green Bank, and Jodrell Bank. By combining our new observations with data collected up to seven years earlier, we obtain a significantly…

We consider a nearly free falling Earth satellite where atomic wave interferometers are tied to a telescope pointing towards a faraway star. They measure the acceleration and the rotation relatively to the local inertial frame. We calculate…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M-C. Angonin-Willaime , X. Ovido , Ph. Tourrenc

Analysis of Lunar Laser Ranging (LLR) data provides science results: gravitational physics and ephemeris information from the orbit, lunar science from rotation and solid-body tides, and Earth science. Sensitive tests of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James G. Williams , Dale H. Boggs , Slava G. Turyshev , J. Todd Ratcliff

We address the issue of relativistic stellar aberration requirements for the Space Interferometry Mission (SIM). Motivated by the importance of this issue for SIM, we have considered a problem of relative astrometric observations of two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

This work arose as an aftermath of Cassini's 2002 experiment \cite{bblipt03}, in which the PPN parameter $\gamma$ was measured with an accuracy $\sigma_\gamma = 2.3\times 10^{-5}$ and found consistent with the prediction $\gamma =1$ of…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Neil Ashby , Bruno Bertotti

The goal of the recently approved space-based LARES mission is to measure the general relativistic Lense-Thirring effect in the gravitational field of the spinning Earth at a repeatedly claimed 1% accuracy by combining its node Omega with…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Lorenzo Iorio