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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

The China Space Station (CSS) is currently in orbit and carries the high-precision optical atomic clock with stability of approximately $2.0 \times 10^{-15} / \sqrt{\tau}$ in its experiment module. We have developed a model to determine the…

A unique test of general relativity is possible with the space radio telescope RadioAstron. The ultra-stable on-board hydrogen maser frequency standard and the highly eccentric orbit make RadioAstron an ideal instrument for probing the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 D. Litvinov , N. Bartel , K. Belousov , M. Bietenholz , A. Biriukov , A. Fionov , A. Gusev , V. Kauts , A. Kovalenko , V. Kulagin , N. Poraiko , V. Rudenko

We investigate the performance of the upcoming ACES (Atomic Clock Ensemble in Space) space mission in terms of its primary scientific objective, the test of the gravitational redshift. Whilst the ultimate performance of that test is…

Instrumentation and Methods for Astrophysics · Physics 2020-01-08 Etienne Savalle , Christine Guerlin , Pacôme Delva , Frédéric Meynadier , Christophe le Poncin-Lafitte , Peter Wolf

Einstein's theory of general relativity predicts that a clock at a higher gravitational potential will tick faster than an otherwise identical clock at a lower potential, an effect known as the gravitational redshift. Here we perform a…

Atomic Physics · Physics 2023-07-28 Xin Zheng , Jonathan Dolde , Matthew C. Cambria , Hong Ming Lim , Shimon Kolkowitz

General relativity (GR) is a highly successful theory that describes gravity as a geometric phenomenon. The gravitational redshift, a classic test of GR, can potentially be violated in alternative gravity theories, and experimental tests on…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Cheng-Gang Qin , Tong Liu , Xiao-Yi Dai , Peng-Bin Guo , Weisheng Huang , Xiang-Pei Liu , Yu-Jie Tan , Cheng-Gang Shao

A test of a cornerstone of general relativity, the gravitational redshift effect, is currently being conducted with the RadioAstron spacecraft, which is on a highly eccentric orbit around Earth. Using ground radio telescopes to record the…

We report on a new test of the gravitational redshift and thus of local position invariance, an integral part of the Einstein equivalence principle, which is the foundation of general relativity and all metric theories of gravitation. We…

Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates - an effect known as the gravitational redshift. As fundamental probes of space and time, atomic clocks have long…

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

Gravitational waves (GWs) from compact binary coalescences encode the absolute luminosity distances of GW sources. Once the redshifts of GW sources are known, one can use the distance-redshift relation to constrain cosmological parameters.…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-17 Ji-Yu Song , Ling-Feng Wang , Yichao Li , Ze-Wei Zhao , Jing-Fei Zhang , Wen Zhao , Xin Zhang

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

We test general relativity (GR) at the effective redshift $\bar{z} \sim 1.5$ by estimating the statistic $E_G$, a probe of gravity, on cosmological scales $19 - 190\,h^{-1}{\rm Mpc}$. This is the highest-redshift and largest-scale…

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

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 Chinese Space Station Telescope (CSST) spectroscopic survey plans to deliver high-quality low-resolution ($R > 200$) slitless spectra for hundreds of millions of targets down to a limiting magnitude of about 21 mag, covering a large…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 Yang Sun , Dingshan Deng , Haibo Yuan

We report on our efforts to test the Einstein Equivalence Principle by measuring the gravitational redshift with the VLBI spacecraft RadioAstron, in an eccentric orbit around Earth with geocentric distances as small as $\sim$ 7,000 km and…

General Relativity and Quantum Cosmology · Physics 2019-04-03 N. V. Nunes , N. Bartel , M. F. Bietenholz , M. V. Zakhvatkin , D. A. Litvinov , V. N. Rudenko , L. I. Gurvits , G. Granato , D. Dirkx

We present an approach to testing the gravitational redshift effect using the RadioAstron satellite. The experiment is based on a modification of the Gravity Probe A scheme of nonrelativistic Doppler compensation and benefits from the…

We consider the problem of testing the Einstein Equivalence Principle (EEP) by measuring the gravitational redshift with two Earth-orbiting stable atomic clocks. For a reasonably restricted class of orbits we find an optimal experiment…

General Relativity and Quantum Cosmology · Physics 2021-08-24 D. A. Litvinov , S. V. Pilipenko

We present forecasts for the $E_G$ statistic using redshift distributions of realistic mock galaxy samples from the upcoming Chinese Space Station Survey Telescope (CSST). The dominant uncertainty in $E_G$ stems from the redshift space…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-27 Yu Song , Yi Zheng
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