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Several space missions that will use atomic clocks on board of an Earth-orbiting satellite are planned for the near future, such as the Atomic Clock Ensemble in Space (ACES) or the Space Optical Clock on the ISS (I-SOC). The increasing…

General Relativity and Quantum Cosmology · Physics 2023-06-13 Jan Geršl

Within the weak-field, post-Newtonian approximation of the metric theories of gravity, we determine the one-way time transfer up to the order 1/c^4, the unperturbed term being of order 1/c, and the frequency shift up to the order 1/c^4. We…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bernard Linet , Pierre Teyssandier

The new generation of atomic clocks will reach unprecedented uncertainties in frequency of $10^{-18}$. In order to prepare space missions such as ACES, we compute all relativistic frequency shifts detectable during this mission in the case…

Astrophysics · Physics 2007-05-23 C. Le Poncin-Lafitte , S. Lambert

A high performance Space-Time Reference in orbit could be realized using a stable atomic clock in a precisely defined orbit and linking that to high accuracy atomic clocks on the ground using a laser based time-transfer link. This would…

Optics · Physics 2017-08-23 Paul Berceau , Leo Hollberg

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

Atomic Clock Ensemble in Space (ACES) is an ESA mission mainly designed to test gravitational redshift with high-performance atomic clocks in space and on the ground. A crucial part of this experiment lies in its two-way Microwave Link…

Instrumentation and Methods for Astrophysics · Physics 2021-08-04 Xiao Sun , Wen-Bin Shen , Ziyu Shen , Chenghui Cai , Wei Xu , Pengfei Zhang

We derive relativistic corrections for one-way and two-way time and frequency transfer over optical fibres neglecting no terms that exceed 1 ps in time and $10^{-18}$ in fractional frequency, and estimate their magnitude in typical fibre…

General Relativity and Quantum Cosmology · Physics 2016-03-18 J Geršl , P Delva , P Wolf

Can a simple microscopic model of space and time demonstrate Special Relativity as the macroscopic (aggregate) behavior of an ensemble ? The question will be investigated in three parts. First, it is shown that the Lorentz transformation…

General Physics · Physics 2016-09-08 Richard Lieu

Given the extreme accuracy of modern space science, a precise relativistic modeling of observations is required. In particular, it is important to describe properly light propagation through the Solar System. For two decades, several…

General Relativity and Quantum Cosmology · Physics 2014-03-21 A. Hees , S. Bertone , C. Le Poncin-Lafitte

We consider the relativistic tidal effects on frequency shift of clock-comparison experiments. The relativistic formulation for frequency shift and time transfer is derived in the gravitational field of a tidal, axisymmetric, and rotating…

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

Context: Occultation experiments represent unique opportunities for probing remotely physical properties of atmospheres. The data processing requires one to properly account for refractivity while modeling the time/frequency transfers of an…

General Relativity and Quantum Cosmology · Physics 2021-04-14 A. Bourgoin , M. Zannoni , L. Gomez Casajus , P. Tortora , P. Teyssandier

Space-based quantum communication naturally involves satellites and ground stations exchanging optical signals at high altitudes and large relative velocities. Starting from general relativistic considerations, we systematically separate…

When dealing with highly accurate modeling of time and frequency transfers into arbitrarily moving dielectrics medium, it may be convenient to work with Gordon's optical spacetime metric rather than the usual physical spacetime metric.…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Adrien Bourgoin

Analytical treatment of time transfer problem for Earth-Satellite system is presented. The development was made in a complete relativistic framework. In accordance with modern clock precision and for low altitude orbits, we neglect the…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Olivier Minazzoli , Bertrand Chauvineau

This paper presents a high-precision gravitational redshift test using the China Space Station (CSS) Laser Time Transfer (CLT) system. We develop a comprehensive observation equation based on a c^{-3} order relativistic model for…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Rui Xu , Wenbin Shen , Hok Sum Fok , Pengfei Zhang , Lihong Li , Lei Wang , Kuangchao Wu , An Ning , Youchao Xie , Ziyu Shen , Lingxuan Wang , Yongqi Zhao , Kai Liu , Yuanjin Pan

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

The starting point of the theory of Special Relativity$^1$ is the Lorentz transformation, which in essence describes the lack of absolute measurements of space and time. These effects came about when one applies the Second Relativity…

Accelerator Physics · Physics 2007-05-23 Lieu , Richard

Considering the OPERA neutrino-velocity measurement from the point of view of a GPS satellite we find that the detector at Gran Sasso has a velocity component in the order of $10^{-5}c$ towards the neutrino emission location at CERN. On…

General Physics · Physics 2011-11-22 Ronald A. J. van Elburg

The transfer of high-quality time-frequency signals between remote locations underpins a broad range of applications including precision navigation and timing, the new field of clock-based geodesy, long-baseline interferometry, coherent…

The successful miniaturisation of extremely accurate atomic clocks and atom interferometers invites prospects for satellite missions to perform precision experiments. We discuss the effects predicted by general relativity and alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Ruxandra Bondarescu , Andreas Schärer , Philippe Jetzer , Raymond Angélil , Prasenjit Saha , Andrew Lundgren
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