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A relativistic sub-picosecond model of gravitational time delay in radio astronomical observations is worked out and a new experimental test of general relativity is discussed in which the effect of retardation of gravity associated with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei Kopeikin , Ed Fomalont

Recent measurements of the propagation of the quasar's radio signal past Jupiter are directly sensitive to the time-dependent effect from the geometric sector of general relativity which is proportional to the speed of propagation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

A v_J/c correction to the Shapiro time delay seems verified by a 2002 Jovian observation by VLBI. In this Essay, this correction is interpreted as an effect of the aberration of light in an optically refractive medium which supplies an…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. -F. Pascual-Sánchez

Gravitational physics of VLBI experiment conducted on September 8, 2002 and dedicated to measure the speed of gravity (a fundamental constant in the Einstein equations) is treated in the first post-Newtonian approximation. Explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

The Sun's gravitational field deflects the apparent positions of close objects in accordance with the formulae of general relativity. Optical astrometry is used to test the prediction, but only with the stars close to the Sun and only…

General Relativity and Quantum Cosmology · Physics 2015-11-03 O. Titov , A. Girdiuk

Fomalont and Kopeikin have recently succeeded in measuring the velocity-dependent component of the Shapiro time delay of light from a quasar passing behind Jupiter. While there is general agreement that this observation tests the…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

Einstein gravity with extra dimensions or alternative gravity theories might suggest that the gravity propagation speed can be different from the light speed. Such a difference may play a vital role in the primordial universe. In recent,…

Astrophysics · Physics 2007-05-23 Hideki Asada

Experimental verification of the existence of gravimagnetic fields generated by currents of matter is important for a complete understanding and formulation of gravitational physics. Although the rotational `intrinsic' gravimagnetic field…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Edward B. Fomalont

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

Light propagation is viewed as a process involving mutual creation of electric and magnetic fields. This viewpoint is used to argue that the conventional retarded solutions to electromagnetic wave equations (whose source is a current…

Classical Physics · Physics 2022-01-11 Wei Guo

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of order…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Sergei Kopeikin , Valeri Makarov

Soon after Einstein's calculation of the effect of the Sun's gravitational field on the propagation of light in 1911, astronomers around the world tried to measure and verify the value. If the first attempts in Brazil in 1912 or Imperial…

History and Philosophy of Physics · Physics 2020-04-30 Luís C. B. Crispino , Santiago Paolantonio

An improved formula for the timing of binary pulsars that accounts for the relativistic deflection of light in the gravitational field of the pulsar's companion is presented, and the measurability of this effect together with its variance…

Astrophysics · Physics 2015-06-24 Oleg Doroshenko , Sergei Kopeikin

Recent review article by S. Samuel "On the speed of gravity and the Jupiter/Quasar measurement" published in the International Journal of Modern Physics D13, 1753 (2004) provides the reader with a misleading "theory" of the relativistic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

The Shapiro effect, also known as the gravitational time delay, is close kin to the gravitational deflection of light that was the central topic of our Summer School. It is also an interesting test bed for exploring a topic that provides…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Markus Pössel

We describe our explicit Lorentz-invariant solution of the Einstein and null geodesic equations for the deflection experiment of 2002 September 8 when a massive moving body, Jupiter, passed within 3.7' of a line-of-sight to a distant…

Astrophysics · Physics 2007-05-23 Sergei M. Kopeikin , Edward B. Fomalont

The gravitational time delay of light, also called the Shapiro time delay, is one of the four classical tests of Einstein's theory of general relativity. This article derives the Newtonian version of the Shapiro time delay from Einstein's…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Markus Pössel

Before we discuss the deflection of light in a gravitational field, we give a brief overview of some basic physical formulas on photon properties, generation and propagation. The much debated problems of the redshift and the photon…

History and Philosophy of Physics · Physics 2025-12-12 Klaus Wilhelm , Bhola N. Dwivedi , Karsten Muller

Given the high-precision modern space mission, a precise relativistic modeling of observations is required. By solving the eikonal equation with the post-Newtonian approximation, the light propagation is determined by the iterative method…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Cheng-Gang Qin , Yu-Jie Tan , Ya-Fen Chen , Cheng-Gang Shao
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