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General relativistic effects in the weak field approximation are calculated for electromagnetic Laguerre-Gaussian (LG) beams. The current work is an extension of previous work on the precession of a spinning neutral particle in the weak…

General Relativity and Quantum Cosmology · Physics 2018-07-04 James Strohaber

The new geodetic satellite LARES 2, cousin of LAGEOS and sharing with it almost the same orbital parameters apart from the inclination, displaced by 180 deg, was launched last year. Its proponents suggest using the sum of the nodes of…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Lorenzo Iorio

We numerically work out the impact of the general relativistic Lense-Thirring effect on the Earth-Mercury range caused by the gravitomagnetic field of the rotating Sun. The peak-to peak nominal amplitude of the resulting time-varying signal…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Lorenzo Iorio

We deal with the attempts to measure the Lense-Thirring effect with the Satellite Laser Ranging (SLR) technique applied to the existing LAGEOS and LAGEOS II terrestrial satellites and to the recently approved LARES spacecraft.The first…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Lorenzo Iorio

Large frame ring laser gyroscopes are top sensitivity inertial sensors able to measure absolute angular rotation rate below $\rm \mathbf{prad/s}$ in few seconds. The development of ring laser based on a simple mechanical structure, usually…

Instrumentation and Detectors · Physics 2019-06-11 N. Beverini , G. Carelli , A. Di Virgilio , U. Giacomelli , E. Maccioni , F. Stefani , J. Belfi

Satellite tracking involves sending electromagnetic signals to Earth. Both the orbit of the spacecraft and the electromagnetic signals themselves are affected by the curvature of spacetime. The arrival time of the pulses is compared to the…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Andreas Schärer , Ruxandra Bondarescu , Prasenjit Saha , Raymond Angélil , Ravit Helled , Philippe Jetzer

We survey theoretical and experimental/observational results on general-relativistic spin (rotation) effects in binary systems. A detailed discussion is given of the two-body Kepler problem and its first post-Newtonian generalization,…

General Relativity and Quantum Cosmology · Physics 2009-09-21 R. F. O'Connell

Recent advances in large ring laser gyroscopes (RLG) technologies opened the possibility to observe rotations of the ground with sensitivities up to $10^{-11}$ $\frac{rad}{s}$ over the frequency band of seismological interest (0.01-1Hz),…

Using the Einstein gravitation theory (EGT), we analyze the Lense Thirring (LT) and the Geodetic effects. In the LT effect the angular orbital momentum L and the perigeo of a particle, orbiting a sphere with mass M and spin J around an axis…

General Physics · Physics 2011-03-02 M. Cattani

Gyroscopes play a crucial role in many and diverse applications associated with navigation, positioning, and inertial sensing [1]. In general, most optical gyroscopes rely on the Sagnac effect -- a relativistically induced phase shift that…

This paper is devoted to a practical model for relativistic reduction of positional observations with an accuracy of 1 \muas which is expected to be attained in the future space astrometry missions. All relativistic effects which are caused…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

In this paper we use, in a preliminary way, the recently released EIGEN2 Earth gravity model, which is based on six months of data of CHAMP only, in order to reassess the systematic error due to the mismodelling in the even zonal harmonics…

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

How does one measure the gravitational field? We give explicit answers to this fundamental question and show how all components of the curvature tensor, which represents the gravitational field in Einstein's theory of General Relativity,…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Yuri N. Obukhov , Dirk Puetzfeld

It has been recently proposed to combine the node drifts of the future constellation of 27 Galileo spacecraft together with those of the existing LAGEOS-type satellites to improve the accuracy of the past and ongoing tests of the…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Lorenzo Iorio

This paper contains a review of the theory and practice of gravitomagnetism, with particular attention to the different and numerous proposals which have been put forward to experimentally or observationally verify its effects. The basics…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Matteo Luca Ruggiero , Angelo Tartaglia

In this paper the most recent developments in testing General Relativity in the gravitational field of the Earth with the technique of Satellite Laser Ranging are presented. In particular, we concentrate our attention on some…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Lorenzo Iorio

Gravitational wave (GW) observations of binary black hole (BBH) coalescences provide a unique opportunity to test general relativity (GR) in the strong-field regime. To ensure the reliability of these tests, it is essential to identify and…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Purnima Narayan , Nathan K. Johnson-McDaniel , Anuradha Gupta

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

In 2016, we published "A test of general relativity using the LARES and LAGEOS satellites and a GRACE Earth gravity model. Measurement of Earth's dragging of inertial frames [1]", a measurement of frame-dragging, a fundamental prediction of…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Ciufolini , Ignazio , Erricos C. Pavlis , John Ries , Richard Matzner , Rolf Koenig , Antonio Paolozzi , Giampiero Sindoni , Vahe Gurzadyan , Roger Penrose , Claudio Paris

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
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