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In this paper the effect of the post-Newtonian gravitomagnetic force on the mean longitudes $l$ of a pair of counter-rotating Earth artificial satellites following almost identical circular equatorial orbits is investigated. The possibility…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio , Herbert I. M. Lichtenegger

Gravitational waves (GWs) emitted by binary sources are interesting signals for testing gravity on cosmological scales since they allow measurements of the luminosity distance. When followed by electromagnetic counterparts, in particular,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-17 Isabela S. Matos , Emilio Bellini , Maurício O. Calvão , Martin Kunz

The GRACE and GRACE-FO missions have provided an unprecedented quantification of large-scale changes in the water cycle. However, it is still an open problem of how these missions' data sets can be referenced to a ground truth. Meanwhile,…

Geophysics · Physics 2021-04-28 Stefan Schröder , Simon Stellmer , Jürgen Kusche

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

Searches for empirical clues beyond Einstein's general relativity (GR) are crucial to understand gravitation and spacetime. Radio pulsars have been playing an important role in testing gravity theories since 1970s. Because radio timing of…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Lijing Shao

Einstein's theory of General Relativity predicts that the light from stars will be gravitationally shifted to longer wavelengths. We previously used this effect to measure the mass of the white dwarf Sirius B from the wavelength shift…

Solar and Stellar Astrophysics · Physics 2018-09-06 Simon R. G. Joyce , Martin A. Barstow , Jay B. Holberg , Howard E. Bond , Sarah L. Casewell , Matthew R. Burleigh

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

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

The gravitational redshift forms the central part of the majority of the classical tests for the general theory of relativity. It could be successfully checked even in laboratory experiments on the earth's surface. The standard derivation…

General Relativity and Quantum Cosmology · Physics 2015-05-28 L. Acedo , M. M. Tung

Gravitational waves from inspiraling compact binaries are known to be an excellent absolute distance indicator, yet it is unclear whether electromagnetic counterparts of these events are securely identified for measuring their redshifts,…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-20 Masamune Oguri

Gravitational parity violation is a possibility motivated by particle physics, string theory and loop quantum gravity. One effect of it is amplitude birefringence of gravitational waves, whereby left and right circularly-polarized waves…

General Relativity and Quantum Cosmology · Physics 2011-05-04 Nicolas Yunes , Richard O'Shaughnessy , Benjamin J. Owen , Stephon Alexander

For most theories which parametrize modifications of General Relativity, including those which violate the equivalence principle, gravitational redshift tests typically offer weaker constraints on such test parameters than do precision…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Michael A. Hohensee , Holger Mueller

A recent measurement of the gravitational redshift was based on interference of matter waves. Operation in microgravity can improve it by a factor of $10^5$ and, in some models, even $10^{10}$.

General Relativity and Quantum Cosmology · Physics 2017-08-23 Holger Mueller , Michael A. Hohensee , Nan Yu

The laws of gravitation have been tested for a long time with steadily improving precision, leading at some moment of time to paradigmatic evolutions. Pursuing this continual effort is of great importance for science. In this communication,…

General Relativity and Quantum Cosmology · Physics 2023-04-14 A. Hees , P. Wolf , B. Lamine , S. Reynaud , M. T. Jaekel , C. Le Poncin-Lafitte , V. Lainey , V. Dehant

Redshift distortion measurements from galaxy surveys include sensitivity to the gravitational growth index distinguishing other theories from Einstein gravity. This gravitational sensitivity is substantially free from uncertainty in the…

Astrophysics · Physics 2010-11-05 Eric V. Linder

Uncertainties in the satellite world lines lead to dominant positioning errors. In the present work, using the approach presented in \cite{neu14}, a new analysis of these errors is developed inside a great region surrounding Earth. This…

General Relativity and Quantum Cosmology · Physics 2021-07-27 Neus Puchades Colmenero , José Vicente Arnau Córdoba , Màrius Josep Fullana i Alfonso

In this article we model a Global Navigation Satellite System (GNSS) in a Schwarzschild space-time, as a first approximation of the relativistic geometry around the Earth. The closed time-like and scattering light-like geodesics are…

General Relativity and Quantum Cosmology · Physics 2015-05-18 P. Delva , U. Kostic , A. Cadez

The unknown nature of dark energy motivates continued cosmological tests of large-scale gravitational physics. We present a new consistency check based on the relative amplitude of non-relativistic galaxy peculiar motions, measured via…

We derive exact expressions for the relativistic redshift between an Earth-bound observer, that is meant to model a standard clock on the Earth's surface, and various (geodesic) observers in the Schwarzschild spacetime. We assume that the…

General Relativity and Quantum Cosmology · Physics 2017-11-06 Dennis Philipp , Eva Hackmann , Claus Laemmerzahl

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Slava G. Turyshev