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The anomalous energy difference observed during the Earth flybys is modelled here as a dynamical effect resulting from the coupling of the gravitational and the magnetic fields of the Earth. The theoretical analysis shows that general…

High Energy Astrophysical Phenomena · Physics 2019-09-19 Babur M. Mirza

Gravity Probe B, launched 20 April 2004, is a space experiment testing two fundamental predictions of Einstein's theory of General Relativity (GR), the geodetic and frame-dragging effects, by means of cryogenic gyroscopes in Earth orbit.…

Due to the accuracy now reached by space geodetic techniques, and also considering some modelisations, the temporal variations of some Earth Gravity Field coefficients can be determined. They are due to Earth oceanic and solid tides, as…

Astrophysics · Physics 2007-11-29 G. Bourda , N. Capitaine

We perform a full analytical and numerical treatment, to the first post-Newtonian (1pN) order, of the general relativistic long-term spin precession of an orbiting gyroscope due to the mass quadrupole moment $J_2$ of its primary without any…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Lorenzo Iorio

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

The ultra-precise Gravity Probe B experiment measured the frame-dragging effect and geodetic precession on four quartz gyros. We use this result to test WEP II (Weak Equivalence Principle II) which includes rotation in the universal…

General Relativity and Quantum Cosmology · Physics 2011-08-22 Wei-Tou Ni

Conformal gravity has been proposed as an alternative theory of gravity which can account for flat galactic rotation curves without recourse to copious quantities of dark matter. However it was shown that for the usual choice of the metric,…

Astrophysics · Physics 2008-12-30 A. Edery , A. A. Méthot , M. B. Paranjape

The orbital Lense-Thirring precession is considered in the context of constraints for weak-field General Relativity involving the cosmological constant $\Lambda$. It is shown that according to the current accuracy of satellite measurements…

General Relativity and Quantum Cosmology · Physics 2020-10-06 A. Stepanian , Sh. Khlghatyan

The exact frame-dragging (or Lense-Thirring (LT) precession) rates for Kerr, Kerr-Taub-NUT (KTN) and Taub-NUT spacetimes have been derived. Remarkably, in the case of the `zero angular momentum' Taub-NUT spacetime, the frame-dragging effect…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Chandrachur Chakraborty

We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. Rajesh Nayak , C. V. Vishveshwara

The main theoretical aspects of gravitomagnetism are reviewed. It is shown that the gravitomagnetic precession of a gyroscope is intimately connected with the special temporal structure around a rotating mass that is revealed by the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 B. Mashhoon , F. Gronwald , H. I. M. Lichtenegger

An exact expression for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is derived without invoking the weak field approximation. This expression, when used for the Kerr metric,…

General Relativity and Quantum Cosmology · Physics 2013-04-29 Chandrachur Chakraborty , Parthasarathi Majumdar

The gravitomagnetic field generated by a rotating sphere is usually calculated from the ideal dipole model. However, for a sphere with a homogeneous mass density, this model is not generally valid. Trying to obtain a more accurate value of…

General Physics · Physics 2012-01-17 Jacob Biemond

A highly precise model for the motion of a rigid Earth is indispensable to reveal the effects of non-rigidity in the rotation of the Earth from observations. To meet the accuracy goal of modern theories of Earth rotation of 1 microarcsecond…

Earth and Planetary Astrophysics · Physics 2012-02-28 E. Gerlach , S. Klioner , M. Soffel

In the last two decades an anomalous variation in the asymptotic velocity of spacecraft performing a flyby manoeuvre around Earth has been discovered through careful Doppler tracking and orbital analysis. No viable hypothesis for a…

General Relativity and Quantum Cosmology · Physics 2015-05-27 L. Acedo

In two previous papers we presented the LARES 2 space experiment aimed at a very accurate test of frame-dragging and at other tests of fundamental physics and measurements of space geodesy and geodynamics. We presented the error sources of…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Ignazio Ciufolini , Richard Matzner , Vahe Gurzadyan , Roger Penrose

The classical tests of general relativity - light deflection, time delay and perihelion shift - are applied, along with the geodetic precession test, to the five-dimensional extension of the theory known as Kaluza-Klein gravity, using an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , James Overduin

The precession angular velocity of a gyroscope moving along a general geodesic in the Kerr spacetime is analyzed using the geometric properties of the spacetime. Natural frames along the gyroscope world line are explicitly constructed by…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Donato Bini , Andrea Geralico , Robert T. Jantzen

Using measurements of geodetic precession from Gravity Probe B, we constrain possible departures from Einstein's General Relativity for a spinning test body in Kaluza-Klein gravity with one additional space dimension. We consider the two…

General Relativity and Quantum Cosmology · Physics 2014-01-21 J. M. Overduin , R. D. Everett , P. S. Wesson

We present a novel test of general relativity (GR): measuring the geometric component of the time delay due to gravitational lensing. GR predicts that photons and gravitational waves follow the same geodesic paths and thus experience the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 David Rubin , Istvan Szapudi , Benjamin J. Shappee , Gagandeep S. Anand