Analysis of the J2 relativistic effect on the performance of on-board atomic clocks

Wang, Dixing; Xue, Huijie; Xu, Tianhe

doi:10.1007/s10291-023-01453-1

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…The time dilation can be formulated as equation (2). Compared with a clock at rest in the Earth Center Inertial Coordinates (ECI) frame, the fractional frequency shift of a clock moving with velocity is [13]:…”

Section: Estimation Of Relativistic Effects On Leo Satellite Clocksmentioning

confidence: 99%

“…The second relativistic effect is the gravitational redshift [11,13,14,17], expressed in terms of W, which is the potential difference between the satellite clocks in orbit and clocks on the surface of the Earth Adding equations ( 2) and ( 3), the whole frequency shift caused by the relativistic effect is:…”

Section: Estimation Of Relativistic Effects On Leo Satellite Clocksmentioning

confidence: 99%

“…Han [11] and Wang et al [12] analyzed the BeiDou satellite clocks, including the influences of the Earth's shape and the tidal potentials of the Sun and Moon. Wang et al [13] studied the J2 relativistic effect on the performance of on-board GPS and BeiDou Navigation Satellite System (BDS-3) clocks. Kouba [14,15] and Formichella [16,17] focused on the improved relativistic transformations in GPS and Galileo, especially the J2 correction.…”

Section: Introductionmentioning

confidence: 99%

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Relativistic effects of LEO satellite and its impact on clock prediction

Wang

Liu

et al. 2023

Meas. Sci. Technol.

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Low Earth Orbit (LEO) augmentation in the Global Navigation Satellite System (GNSS) has become a focus in the current satellite navigation field. To achieve high precision in Positioning Navigation and Timing (PNT) services, relativistic effects should be considered, as they are difficult to distinguish from LEO satellite clock estimates and disturb their predictions. The relativistic effects on LEO satellite clocks are discussed in detail based on both theoretical and empirical results. Two LEO satellite clock prediction strategies are proposed, with and without removing the relativistic effect, using real data from typical LEO satellites: SENTINEL-3B and GRACE FO-1. For GRACE FO-1 and SENTINEL-3B, the relativistic effects are both on the order of nanoseconds and after removing the relativistic effects, the Modified Allan Deviations (MDEVs) of the clocks are shown to be significantly improved. Based on the prediction strategies proposed, for SENTINEL-3B at around 810 km, with the prediction period increased from 30 to 3600 s, the RMS increases from 0.025ns to about 1.4 to 1.6 ns. For the lower LEO satellite GRACE FO-1 at around 500 km, the RMS of the predicted clocks increases more rapidly, i.e., from 0.012 ns at 30 s to about 4.5 ns at 3600 s. Results showed that the LEO satellite relativistic effects developed based on the theory can correct the majority, but not all of the once- and twice-per-revolution terms in the LEO satellite clocks. Although the corrections have exhibited effective improvements in the clock stability, they do not behave better than simply applying the mathematical model to the clock predictions. The latter model, however, does not have physical foundations as the former one.

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Section: Estimation Of Relativistic Effects On Leo Satellite Clocksmentioning

confidence: 99%

Section: Estimation Of Relativistic Effects On Leo Satellite Clocksmentioning

confidence: 99%