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This paper analyses the relativistic stellar aberration requirements for the Space Interferometry Mission (SIM). We address the issue of general relativistic deflection of light by the massive self-gravitating bodies. Specifically, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

The discovery of the accelerating expansion of the Universe, thought to be driven by a mysterious form of `dark energy' constituting most of the Universe, has further revived the interest in testing Einstein's theory of General Relativity.…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Ignazio Ciufolini , Antonio Paolozzi , Erricos Pavlis , John Ries , Vahe Gurzadyan , Rolf Koenig , Richard Matzner , Roger Penrose , Giampiero Sindoni

As confirmed by tests performed in the solar system, General Relativity (GR) presently represents the best description of gravitation. It is however challenged by observations at very large length scales, and already at the solar system…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Marc-Thierry Jaekel , Serge Reynaud

The gravitational field of the sun will focus light from a distant source to a focal point at a minimal distance of 550 Astronomical Units from the sun. A proposed mission to this gravitational focus could use the sun as a very large lens,…

Earth and Planetary Astrophysics · Physics 2016-12-15 Geoffrey A. Landis

In this communication, the current tests of gravitation available at Solar System scales are recalled. These tests rely mainly on two frameworks: the PPN framework and the search for a fifth force. Some motivations are given to look for…

General Relativity and Quantum Cosmology · Physics 2014-03-07 A. Hees , W. M. Folkner , R. A. Jacobson , R. S. Park , B. Lamine , C. Le Poncin-Lafitte , P. Wolf

Galaxy-scale strong gravitational lenses with measured stellar velocity dispersions allow a test of the weak-field metric on kiloparsec scales and a geometric measurement of the cosmological distance-redshift relation, provided that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Josiah Schwab , Adam S. Bolton , Saul A. Rappaport

In this contribution we present two new proposals for measuring the general relativistic gravitomagnetic component of the gravitational field of the Earth. One proposal consists of the measurement of the difference of the rates of the…

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

Modifications to GR generically predict time and scale-dependent effects which may be probed by observations of strong lensing by galaxies. Measurements of the stellar velocity dispersion determine the dynamical mass whereas measurements of…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-14 Tristan L. Smith

We investigate the utility of a constellation of four satellites in heliocentric orbit, equipped with accurate means to measure intersatellite ranges, round-trip times and phases of signals coherently retransmitted between members of the…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 Viktor T. Toth

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

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

Internal gravity waves have been observed in the Earth's atmosphere and oceans, on Mars and Jupiter, and in the Sun's atmosphere. Despite ample evidence for the existence of propagating gravity waves in the Sun's atmosphere, we still do not…

Solar and Stellar Astrophysics · Physics 2021-01-20 Daniele Calchetti , Stuart M. Jefferies , Bernhard Fleck , Francesco Berrilli , Dmitriy V. Shcherbik

Constellation or formation flying is a common concept in space Gravitational Wave (GW) mission proposals for the required interferometry implementation. The spacecraft of most of these mission proposals go to deep space and many have…

General Relativity and Quantum Cosmology · Physics 2013-02-01 An-Ming Wu , Wei-Tou Ni

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. All terms of order 1 microarcsecond are taken into account, parametrized, and…

Astrophysics · Physics 2008-11-26 Sergei Kopeikin , Valeri Makarov

RadioAstron satellite admits in principle a testing the gravitational redshift effect with an accuracy of better than $10^{-5}$. It would surpass the result of Gravity Probe A mission at least an order of magnitude. However, RadioAstron's…

Instrumentation and Methods for Astrophysics · Physics 2015-06-09 A. V. Birukov , V. L. Kauts , D. A. Litvinov , N. K. Porayko , V. N. Rudenko

The theory of general relativity, which is extremely well verified by classic tests in the solar system as well as by the radiation of the binary pulsar, is one of the fundamental tools of nowadays astrophysics. It permits the computation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

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

Space-borne gravitational wave detections raise new questions for heliophysics: how the Sun-Terrestrial space environment affect gravitational wave detection, and to what extent? Space-borne gravitational wave detectors use laser…

Solar and Stellar Astrophysics · Physics 2025-09-23 Wei Su

The exploration of the redshift drift, a direct measurement of cosmological expansion, is expected to take several decades of observation with stable, sensitive instruments. We introduced a new method to probe cosmology which bypasses the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Chengyi Wang , Krzysztof Bolejko , Geraint F. Lewis

Advancement in astronomical observations and technical instrumentation implies taking into account the general relativistic effects due the gravitational fields encountered by the light while propagating from the star to the observer.…

Astrophysics of Galaxies · Physics 2013-05-22 Mariateresa Crosta