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The Lense-Thirring effect is currently being measured by means of a combination of the orbital residuals of the nodes of LAGEOS and LAGEOS II and the perigee of LAGEOS II. The total error is of the order of 20%. The most insidious…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

After an introduction on phenomena due to spin and mass-energy currents on clocks and photons, we review the 1995-2001 measurements of the gravitomagnetic field of Earth and Lense-Thirring effect obtained by analyzing the orbits of the two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignazio Ciufolini

With quantitative numerical simulations we show that the secular variations of the even zonal harmonics of the geopotential do affect the measurement of the Lense-Thirring effect with the nodes of LAGEOS and LAGEOS II at a \sim 14% level.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

The leading locally observable effect of a long-wavelength metric perturbation corresponds to a tidal field. We derive the tidal field induced by scalar, vector, and tensor perturbations, and use second order perturbation theory to…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-23 Fabian Schmidt , Enrico Pajer , Matias Zaldarriaga

We discuss the impact of the present-day uncertainties in the recently released CHAMP and/or GRACE Earth gravity models on the measurement of the Lense-Thirring effect with the nodes of the LAGEOS satellites. Also the role of the secular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

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

Rotation of a body, according to Einstein's theory of general relativity, generates a "force" on other matter; in Newton's gravitational theory only the mass of a body produces a force. This phenomenon, due to currents of mass, is known as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Ciufolini , D. Lucchesi , F. Vespe , F. Chieppa

We deal with the test of the general relativistic gravitomagnetic Lense-Thirring effect currently ongoing in the Earth's gravitational field with the combined nodes \Omega of the laser-ranged geodetic satellites LAGEOS and LAGEOS II. One of…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Lorenzo Iorio

The current LAGEOS-LARES 2 experiment aims to accurately measure the general relativistic Lense-Thirring effect in the gravitomagnetic field of the spinning Earth generated by the latter's angular momentum $\boldsymbol{J}$. The key quantity…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Lorenzo Iorio

In this Chapter we deal with the attempts to measure the general relativistic gravitomagnetic Lense-Thirring effect with the Satellite Laser Ranging (SLR) technique applied to the existing LAGEOS and LAGEOS II terrestrial satellites and to…

General Relativity and Quantum Cosmology · Physics 2010-07-06 Lorenzo Iorio

Laser-ranging satellites have proved their efficiency in high precision testing of General Relativity and constraining modified gravity theories proposed to explain the dark sector and the cosmological tensions. The LARES 2 satellite…

General Relativity and Quantum Cosmology · Physics 2025-10-01 V. G. Gurzadyan , I. Ciufolini , H. G. Khachatryan , S. Mirzoyan , A. Paolozzi

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

After the approval by the Italian Space Agency of the LARES satellite, which should be launched at the end of 2009 with a VEGA rocket and whose claimed goal is a about 1% measurement of the general relativistic gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2009-07-29 Lorenzo Iorio

Recently, Ciufolini et al. reported on a test of the general relativistic gravitomagnetic Lense-Thirring effect by analyzing about 3.5 years of laser ranging data to the LAGEOS, LAGEOS II, LARES geodetic satellites orbiting the Earth. By…

General Relativity and Quantum Cosmology · Physics 2017-02-07 Lorenzo Iorio

We compute the corrections to the orbital Lense-Thirring effect (or frame-dragging) in the presence of spacetime torsion. We derive the equations of motion of a test body in the gravitational field of a rotating axisymmetric massive body,…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Riccardo March , Giovanni Bellettini , Roberto Tauraso , Simone Dell'Agnello

We summarize some critical issues pertaining the tests of the general relativistic Lense-Thirring effect performed by I. Ciufolini and coworkers in the gravitational field of the Earth with the geodetic satellites LAGEOS and LAGEOS II…

General Relativity and Quantum Cosmology · Physics 2011-05-24 L. Iorio

The cancelation of the first even zonal harmonic coefficient J2 of the multipolar expansion of the Newtonian part of the Earth's gravitational potential from the linear combination f(2L) of the nodes of LAGEOS and LAGEOS II used in the…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Lorenzo Iorio

In this paper we analyze quantitatively the concept of LAGEOS--type satellites in critical supplementary orbit configuration (CSOC) which has proven capable of yielding various observables for many tests of General Relativity in the…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio , David M. Lucchesi

The possibility of analyzing the node Omega of the GP-B satellite in order to measure also the Lense-Thirring effect on its orbit is examined. This feature is induced by the general relativistic gravitomagnetic component of the Earth…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

In this brief note we reply to the authors of a recent preprint in which an alleged explicit proposal of using the mean anomaly of the LAGEOS satellites to measure the general relativistic Lense-Thirring effect in the gravitational field of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio