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Atom interferometry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the non-relativistic calculation of the phase shift in an atom interferometer and deriving its range of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

The high precision of the latest version of the planetary ephemeris EPM2011 enables one to explore more accurately a variety of small effects in the solar system. The processing of about 678 thousand of position observations of planets and…

Earth and Planetary Astrophysics · Physics 2013-06-14 E. V. Pitjeva , N. P. Pitjev

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, $\propto G^2$. The Laser Astrometric Test Of…

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

General relativistic effects in astrophyiscal systems have been detected thanks to accurate astrometric measurements. We outline some keystones of astrometry such as stellar aberration (argument development during the years 1727-1872);…

Astrophysics · Physics 2010-11-11 Costantino Sigismondi

We present a realization of astronomical relativistic reference frames in the solar system and its application to the GRAIL mission. We model the necessary spacetime coordinate transformations for light-trip time computations and address…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Slava G. Turyshev , Viktor T. Toth , Mikhail V. Sazhin

Relativistic aberration influences apparent luminosities of objects moving with relativistic relative velocities. The superluminosity or dimming of incoming or receding jets ejected from Active Galactic Nuclei is believed to be the…

Astrophysics · Physics 2007-05-23 Oleg Semyonov

Space astrometry is capable of sub-microarcsecond measurements of star positions. A hundred visits over several years could yield relative astrometric precision of ~0.1 uas, below the astrometric signature (0.3 uas) of a Sun-Earth system at…

Astrophysics · Physics 2009-11-13 Joseph Catanzarite , Nicholas Law , Michael Shao

We give an assessment of the significance of various known effects which may produce genuine fluctuations of star positions comparable to or larger than Gaia's measurement noise, and which thus may limit the ultimately reachable precision…

Astrophysics · Physics 2007-05-23 U. Bastian , H. Hefele

The light deflection of one component of a binary system due to the gravitational field of the other component is investigated. While this relativistic effect has not been observed thus far, the question arises that whether this effect…

Solar and Stellar Astrophysics · Physics 2015-06-11 Sven Zschocke

In this paper we investigate the opportunities offered by the new Earth gravity models from the dedicated CHAMP and, especially, GRACE missions to the project of measuring the general relativistic Lense-Thirring effect with a new Earth's…

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

The standard treatment of gravitational lensing by a point mass lens M is based on a weak-field deflection angle a = 2/x, where x = (r c^2)/(2 G M) with r the distance of closest approach to the mass of a lensed light ray. It was shown that…

Astrophysics · Physics 2009-11-07 A. O. Petters

Observables of cosmic structures are usually not the underlying matter field but biased tracers of matter, such as galaxies or halos. We show how the bias found in Newtonian N-body simulations can be interpreted in terms of the weak-field…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Christian Fidler , Nils Sujata , Cornelius Rampf

With the increasing wealth of high-quality astronomical and cosmological data and the manifold departures from General Relativity in principle conceivable, the development of generalized parametrization frameworks that unify gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-22 Lucas Lombriser

Recent investigations (e.g. Han et al. 2001) have shown that fitting the Hipparcos observations with an orbital model when the astrometric wobble caused by the companion is below the noise level can have rather unexpected consequences. With…

Astrophysics · Physics 2009-11-07 D. Pourbaix

Among the effects predicted by the General Theory of Relativity for the orbital motion of a test particle, the post-Newtonian gravitomagnetic Lense-Thirring effect is very interesting and, up to now, there is not yet an undisputable…

General Relativity and Quantum Cosmology · Physics 2009-05-19 Lorenzo Iorio

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

We reexamine non-Einsteinian effects observable in the orbital motion of low-orbit artificial Earth satellites. The motivations for doing so are twofold: (i) recent theoretical studies suggest that the correct theory of gravity might…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Thibault Damour , Gilles Esposito-Farese

Astrometric positions of moving objects in the Solar System have been measured using a variety of star catalogs in the past. Previous work has shown that systematic errors in star catalogs can affect the accuracy of astrometric…

Earth and Planetary Astrophysics · Physics 2020-02-26 Siegfried Eggl , Davide Farnocchia , Alan B. Chamberlin , Steven R. Chesley

In this paper we will show in detail that the performed attempts aimed at the detection of the general relativistic Lense-Thirring effect in the gravitational field of the Earth with the existing LAGEOS satellites are often presented in an…

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

Future surveys will access large volumes of space and hence very long wavelength fluctuations of the matter density and gravitational field. It has been argued that the set of secondary effects that affect the galaxy distribution,…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-15 Christiane S. Lorenz , David Alonso , Pedro G. Ferreira
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