Investigation of proper time and inter-satellite clock difference using general relativity theory

Jia, Qian; Li, Qing; Liang, Jian; Liu, Lei

doi:10.1016/j.ast.2022.108071

Cited by 3 publications

(2 citation statements)

References 45 publications

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“…Generally, the difference in frequencies between the two clocks can be characterized by the frequency shift f A /f B . The general form of the one-way frequency shift between the two clocks is given by [44][45][46][47]…”

Section: Gravitational Redshift and Clock Comparisonmentioning

confidence: 99%

Preliminary sensitivity study for a gravitational redshift measurement with China’s Lunar exploration project

Qin,

Liu,

Dai

et al. 2024

Class. Quantum Grav.

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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 this effect are crucial for our understanding of gravity. In this paper, considering the space-ground clock comparisons with free-space links, we discuss a high-precision Doppler cancellation-based measurement model for testing gravitational redshift. This model can effectively reduce various sources of error and noise, reducing the influences of the first-order Doppler effect, atmospheric delay, Shapiro delay, etc. China's Lunar Exploration Project (CLEP) is proposed to equip the deep-space H maser with a daily stability of $2\times10^{-15}$, which provides an approach for testing gravitational redshift. Based on the simulation, we analyze the space-ground clock comparison experiments of the CLEP experiment, and simulation analysis demonstrates that under ideal condition of high-precision measurement of the onboard H-maser frequency offset and drift, the CLEP experiment may reach the uncertainty of $3.7\times10^{-6}$ after a measurement session of 60 days. Our results demonstrate that if the issue of frequency offset and drift is solved, CLEP missions have a potential of testing the gravitational redshift with high accuracy.

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Section: Gravitational Redshift and Clock Comparisonmentioning

confidence: 99%

Preliminary sensitivity study for a gravitational redshift measurement with China’s Lunar exploration project

Qin,

Liu,

Dai

et al. 2024

Class. Quantum Grav.

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show abstract

“…At time T A , the clock in satellite A sends a light signal with proper frequency f A , and at time T B , this signal is received by the clock in satellite B with proper frequency f B . The one-way frequency shift between two clocks is given by [111][112][113][114]…”

Section: Frequency Shift and Lorentz Violationmentioning

confidence: 99%

Testing Lorentz symmetry with space-based gravitational-wave detectors

Qin,

Ke,

et al. 2023

Class. Quantum Grav.

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Lorentz symmetry (LS), one of the most fundamental physical symmetries, has been extensively studied in the context of quantum gravity and unification theories. Many of these theories predict a LS violation, which could arise from the discreteness of spacetime, or extra dimensions. Standard-model extension (SME) is an effective field theory to describe Lorentz violation whose effects can be explored using precision instruments such as atomic clocks and gravitational-wave (GW) detectors. Considering the pure-gravity sector and matter-gravity coupling sector in the SME, we studied the leading Lorentz-violating modifications to the time delay of light and the relativistic frequency shift of the clock in the space-based GW detectors. We found that the six data streams from the GW mission can construct various combinations of measurement signals, such as single-arm round-trip path, interference path, triangular round-trip path, etc. These measurements are sensitive to the different combinations of SME coefficients and provide novel linear combinations of SME coefficients different from previous studies. Based on the orbits of TianQin, LISA, and Taiji missions, we calculated the response of Lorentz-violating effects on the combinations of the measurement signal data streams. Our results allow us to estimate the sensitivities for SME coefficients: $10^{-6}$ for the gravity sector coefficient $\bar{s}^{TT}$, $10^{-6}$ for matter-gravity coupling coefficients $(\bar{a}^{(e+p)}_{\text{eff}})_{T}$ and $\bar{c}^{(e+p)}_{TT}$, and $10^{-5}$ for $(\bar{a}^{n}_{\text{eff}})_{T}$ and $\bar{c}^{n}_{TT}$.

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A complete analysis of the link uncertainty budget for pulsed laser time transfer on China space station

Geng,

Wu,

Huang

et al. 2024

Advances in Space Research

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Investigation of proper time and inter-satellite clock difference using general relativity theory

Cited by 3 publications

References 45 publications

Preliminary sensitivity study for a gravitational redshift measurement with China’s Lunar exploration project

Preliminary sensitivity study for a gravitational redshift measurement with China’s Lunar exploration project

Testing Lorentz symmetry with space-based gravitational-wave detectors

A complete analysis of the link uncertainty budget for pulsed laser time transfer on China space station

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