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The performance of optical clocks has strongly progressed in recent years, and accuracies and instabilities of 1 part in 10^18 are expected in the near future. The operation of optical clocks in space provides new scientific and…

Although the effects of solar (and lunar) gravitational potentials on the frequencies of orbiting Global Positioning System (GPS) clocks are actually no more than a few parts in 10^(15), a na\"ive calculation appears to show that such…

General Relativity and Quantum Cosmology · Physics 2013-07-25 Neil Ashby , Marc Weiss

The general relativistic gravitomagnetic clock effect consists in the fact that two massive test bodies orbiting a central spinning mass in its equatorial plane along two identical circular trajectories, but in opposite directions, take…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lorenzo Iorio

All experiments to date are in remarkable agreement with the predictions of Einstein's theory of gravity, General Relativity. Besides the classical tests, involving light deflection, orbit precession, signal delay, and the gravitational…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Jan Scheumann , Dennis Philipp , Sven Herrmann , Eva Hackmann , Benny Rievers , Javier Ventura-Traveset , Luis Mendes , Claus Lämmerzahl

Satellite tracking involves sending electromagnetic signals to Earth. Both the orbit of the spacecraft and the electromagnetic signals themselves are affected by the curvature of spacetime. The arrival time of the pulses is compared to the…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Andreas Schärer , Ruxandra Bondarescu , Prasenjit Saha , Raymond Angélil , Ravit Helled , Philippe Jetzer

In this report are recalled in a simple form some of the main concepts about neutrinos, starting from their discovery and classifying them in the Standard Model of the Microcosm. Then are presented the main natural sources of neutrinos,…

Popular Physics · Physics 2013-04-15 Giorgio Giacomelli

Today, the Global Navigation Satellite Systems, used as global positioning systems, are the GPS and the GLONASS. They are based on a Newtonian model and hence they are only operative when several relativistic effects are taken into account.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. -F. Pascual-Sanchez

We describe the design, the equipment, and the calibration of a new GPS based time link between CERN and the Borexino experiment at the Gran Sasso Laboratory in Italy. This system has been installed and operated in Borexino since March…

Instrumentation and Detectors · Physics 2012-08-01 B. Caccianiga , P. Cavalcante , G. Cerretto , H. Esteban , G. Korga , M. Misiaszek , M. Orsini , M. Pallavicini , V. Pettiti , C. Plantard , A. Razeto

We show that special relativity (SR) may be consistent with the OPERA measurements of the neutrino velocity provided the latter is corrected for the second order term in V^2/c^2 implied by the velocity, V, of the alpha particles from…

General Physics · Physics 2011-10-19 Jean-Paul Mbelek

We discuss a conceptual issue concerning the neutrino velocity measurement, in connection with the statistical method employed by the OPERA collaboration for the inference of the neutrino time of flight. We expound the theoretical framework…

High Energy Physics - Phenomenology · Physics 2015-05-30 Antonio Palazzo

During the years 2009 to 2011, neutrino beams were fired repeatedly from CERN towards a detector in Italy's Gran Sasso tunnel, some 4 deg south and 7 deg east of CERN, at a distance of 730.5 km, in the shape of short bunches of particles.…

General Physics · Physics 2011-11-17 Wolfgang Kundt

We develop a high-precision model for relativistic observables of the Atomic Clock Ensemble in Space (ACES) experiment on the International Space Station (ISS). We develop all relativistic coordinate transformations that are needed to…

General Relativity and Quantum Cosmology · Physics 2016-02-25 Slava G. Turyshev , Nan Yu , Viktor T. Toth

The possibility of measuring the post-Newtonian gravitoelectric correction to the orbital period of a test particle freely orbiting a spherically symmetric mass in the Solar System is analyzed. It should be possible, in principle, to detect…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

In this paper, we present an analysis of the outcomes of long-baseline neutrino experiments based on the consideration of frameworks. Our analysis suggests that the time difference between the time-of-flights corresponding to the speed of…

General Physics · Physics 2012-05-15 Md. Farid Ahmed

We present the results of the analysis of the GREAT (Galileo gravitational Redshift test with Eccentric sATellites) experiment from SYRTE (Observatoire de Paris), funded by the European Space Agency. An elliptic orbit induces a periodic…

The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Lorenzo Iorio , Herbert I. M. Lichtenegger , Bahram Mashhoon

On August 22, 2014, the satellites GSAT-0201 and GSAT-0202 of the European GNSS Galileo were unintentionally launched into eccentric orbits. Unexpectedly, this has become a fortunate scientific opportunity since the onboard hydrogen masers…

In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chongming Xu , Xuejun Wu , Erwin Bruening

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

One of geodesy's main tasks is to determine the gravity field of the Earth. High precision clocks have the potential to provide a new tool in a global determination of the Earth's gravitational potential based on the gravitational redshift.…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Dennis Philipp , Eva Hackmann , Jan P. Hackstein , Claus Lämmerzahl