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This paper discusses three matter-of-principle methods for measuring the general relativity correction to the Newtonian values of the position of collinear Lagrangian points L1 and L2 of the Sun-Earth-satellite system. All approaches are…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Angelo Tartaglia , Giampiero Esposito , Emmanuele Battista , Simone Dell'Agnello , Bin Wang

A new satellite based test of Special and General Relativity is proposed. For the Michelson-Morley experiment we expect an improvement of at least three orders of magnitude, and for the Kennedy-Thorndike experiment an improvement of more…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Claus Lämmerzahl , Hansjörg Dittus , Achim Peters , Stephan Schiller

The modern methods of measurement of the solar diameter and oblateness are reviewed. Either ground-based or balloon-borne and satellite measurements are considered. The importance of solar astrometry for General Relativity is emphasized,…

Solar and Stellar Astrophysics · Physics 2015-05-28 Costantino Sigismondi

A new experiment aimed to the detection of the gravito-magnetic Lense-Thirring effect at the surface of the Earth will be presented; the name of the experiment is GINGER. The proposed technique is based on the behavior of light beams in…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Angelo Tartaglia

Large ring-laser gyroscopes are capable of measuring angular rotations with a precision well below fractions of $prad/s$, not far from $10^{-14}$ $rad/s$, the accuracy required for General Relativity tests, this is what the GINGER…

Gravity gradiometry within the framework of the general theory of relativity involves the measurement of the elements of the relativistic tidal matrix, which is theoretically obtained via the projection of the spacetime curvature tensor…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bahram Mashhoon

The absolute measurement of the Earth angular rotation rate with ground-based instruments becomes challenging if the 1 part in $10^9$ of precision has to be obtained. This threshold is important for fundamental physics and for geodesy, to…

In these lectures I give an overview of gravitational lensing, concentrating on theoretical aspects, including derivations of some of the important results. Topics covered include the determination of surface mass densities of intervening…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Alan Heavens

Gravitational-wave sources offer us unique testbeds for probing strong-field, dynamical and nonlinear aspects of gravity. In this chapter, we give a brief overview of the current status and future prospects of testing General Relativity…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Zack Carson , Kent Yagi

I discuss some aspects of the recent test of frame-dragging performed by me by exploiting the Root-Mean-Square (RMS) orbit overlap differences of the out-of-plane component N of the orbit of the Mars Global Surveyor (MGS) spacecraft in the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Lorenzo Iorio

Large frame Ring laser gyroscopes, based on the Sagnac effect, are top sensitivity instrumentation to measure angular velocity with respect to the fixed stars. GINGER (Gyroscopes IN GEneral Relativity) project foresees the construction of…

In this Letter we show that multiband observations of stellar-mass binary black holes by the next generation of ground-based observatories (3G) and the space-based Laser Interferometer Space Antenna (LISA) would facilitate a comprehensive…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Anuradha Gupta , Sayantani Datta , Shilpa Kastha , Ssohrab Borhanian , K. G. Arun , B. S. Sathyaprakash

Gravitomagnetic field is covariantly split in the {\it intrinsic} and {\it extrinsic} parts, which are generated by rotational and translational currents of matter respectively. The {\it intrinsic} component has been recently discovered in…

General Relativity and Quantum Cosmology · Physics 2008-09-22 Sergei Kopeikin

This lecture will present a review of the past and present tests of the General Relativity theory. The essentials of the theory will be recalled and the measurable effects will be listed and analyzed. The main historical confirmations of…

General Relativity and Quantum Cosmology · Physics 2015-03-04 Angelo Tartaglia

In a geocentric kinematically rotating ecliptical coordinate system in geodesic motion through the deformed spacetime of the Sun, both the longitude of the ascending node $\Omega$ and the inclination $I$ of an artificial satellite of the…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Lorenzo Iorio

GINGER (Gyroscopes IN GEneral Relativity), based on an array of large dimension ring laser gyroscopes, is aiming at measuring in a ground laboratory the gravito-electric and gravito-magnetic effects (also known as De Sitter and…

Instrumentation and Detectors · Physics 2019-06-11 Angela D. V. Di Virgilio

The general relativistic Lense-Thirring effect can be measured by inspecting a suitable combination of the orbital residuals of the nodes of LAGEOS and LAGEOS II and the perigee of LAGEOS II. The solid and ocean Earth tides affect the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lorenzo Iorio

General Relativity (GR) has been successfully tested mainly at Solar system scales; however, galaxy-scale tests have become popular in the last few decades. In this work, we investigate the $\eta_\text{PPN}$ parameter, which is commonly…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-09 Carlos R. Melo-Carneiro , Cristina Furlanetto , Ana L. Chies-Santos

In the framework of $f(T)$ gravity, we focus on a weak-field and spherically symmetric solution for the Lagrangian $f(T)=T+\alpha T^{2}$, where $\alpha$ is a small constant which parameterizes the departure from General Relativity. In…

General Relativity and Quantum Cosmology · Physics 2016-05-16 Matteo Luca Ruggiero

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