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LAGEOS is an accurately-tracked, dense spherical satellite covered with 426 retroreflectors. The tracking accuracy is such as to yield a medium term (years to decades) inertial reference frame determined via relatively inexpensive…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Salman Habib , Daniel E. Holz , Arkady Kheyfets , Richard A. Matzner , Warner A. Miller , Brian W. Tolman

In this letter we reexamine the evaluation of \zone in some proposed tests of relativistic gravitomagnetism with existing and proposed laser--ranged LAGEOS--like satellites in the gravitational field of the Earth. A more conservative and…

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

Surveys for gravitational lens systems have typically found a significantly larger fraction of lenses with four (or more) images than are predicted by standard ellipsoidal lens models (50% versus 25-30%). We show that including the effects…

Astrophysics · Physics 2009-11-07 J. D. Cohn , C. S. Kochanek

Today, the Global Navigation Satellite Systems, used as global positioning systems, are the GPS and the GLONASS. They are based on a Newtonian model and hence they are only operative when several relativistic effects are taken into account.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. -F. Pascual-Sanchez

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Sergei Kopeikin , Pavel Korobkov

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

Within the theory of General Relativity, we study the solution and range of applicability of the standard geodesic deviation equation in highly symmetric spacetimes. In the Schwarzschild spacetime, the solution is used to model satellite…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Dirk Puetzfeld , Claus Laemmerzahl

The effects of Horava-Lifshitz corrections to the gravito-magnetic field are analyzed. Solutions in the weak field, slow motion limit, referring to the motion of a satellite around the Earth are considered. The post-newtonian paradigm is…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ninfa Radicella , Gaetano Lambiase , Luca Parisi , Gaetano Vilasi

We focus on the possibility of measuring the gravitomagnetic effects due to the rotation of the Earth, by means of a space-based experiment that exploits satellites in geostationary orbits. Due to the rotation of the Earth, there is an…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Matteo Luca Ruggiero , Angelo Tartaglia

This paper discusses new Fundamental physics experiment that will test relativistic gravity at the accuracy better than the effects of the second order in the gravitational field strength, ~G^2. The Laser Astrometric Test Of Relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth Nordtvedt

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

We calculate the special and general relativistic effects of the Global Positioning System (GPS), especially the effects depending on the small deviation of the orbit from the circular one. This effect is well known but, to our knowledge,…

High Energy Physics - Phenomenology · Physics 2020-07-14 Takeshi Fukuyama , Sueo Sugimoto

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

Accounting for all the relativistic effects, we have developed the fully nonlinear gauge-invariant formalism for describing the cosmological observables and presented the second-order perturbative expressions associated with light…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-03 Matteo Magi , Jaiyul Yoo

According to General Relativity, as distinct from Newtonian gravity, motion under gravity is treated by a theory that deals, initially, only with test particles. At the same time, satellite measurements deal with extended bodies. We discuss…

General Relativity and Quantum Cosmology · Physics 2017-10-03 I. Ciufolini , V. G. Gurzadyan , R. Penrose , A. Paolozzi

We consider the impact of a power-law correction to the Newtonian potential, inspired by ungravity or $f(R)$ extensions of the Standard Model, and draw conclusions on the possibility of measuring the relevant parameters through observables…

General Relativity and Quantum Cosmology · Physics 2009-10-20 J. Páramos , O. Bertolami

The paper discusses the optimal conguration of one or more ring lasers to be used for measuring the general relativistic effects of the rotation of the earth, as manifested on the surface of the planet. The analysis is focused on devices…

General Relativity and Quantum Cosmology · Physics 2017-02-16 Angelo Tartaglia , Angela Di Virgilio , Jacopo Belfi , Nicolò Beverini , Matteo Luca Ruggiero

We propose and construct a two-parameter perturbative expansion around a Friedmann-Lema\^{i}tre-Robertson-Walker geometry that can be used to model high-order gravitational effects in the presence of non-linear structure. This framework…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Sophia R. Goldberg , Timothy Clifton , Karim A. Malik

The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the perturbation and solution schemes that are generated by the spatially projected gravitoelectric part of the Weyl tensor…

General Relativity and Quantum Cosmology · Physics 2018-01-01 Fosca Al Roumi , Thomas Buchert , Alexander Wiegand

We introduce the LARES 2 space experiment recently approved by the Italian Space Agency (ASI). The LARES 2 satellite is planned for launch in 2019 with the new VEGA C launch vehicle of ASI, ESA and ELV. The orbital analysis of LARES 2…