Sagnac Effect and SET Error Based Pseudorange Modeling for GPS Applications

Bidikar, Bharati; Rao, G. Sasibhushana; Laveti, Ganesh

doi:10.1016/j.procs.2016.05.144

Cited by 16 publications

(10 citation statements)

References 6 publications

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“…where n is the total number of the sampling interval of the whole time series, y i denotes the ith observation, and ŷi denotes the ith fitting value. The uncertainty of the slope is given by [49] u = S…”

Section: Resultsmentioning

confidence: 99%

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Measuring Height Difference Using Two-Way Satellite Time and Frequency Transfer

et al. 2022

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According to general relativity theory (GRT), the clock at a position with lower geopotential ticks slower than an identical one at a position with higher geopotential. Here, we provide a geopotential comparison using a non-transportable hydrogen clock and a transportable hydrogen clock for altitude transmission based on the two-way satellite time and frequency transfer (TWSTFT) technique. First, we set one hydrogen clock on the fifth floor and another hydrogen clock on the ground floor, with their height difference of 22.8 m measured by tape, and compared the time difference between these two clocks by TWSTFT for 13 days. Then, we set both clocks on the ground floor and compared the time difference between the two clocks for seven days for zero-baseline calibration (synchronization). Based on the measured time difference between the two clocks at different floors, we obtained the height difference 28.05.4 m, which coincides well with the tape-measured result. This experiment provides a method of height propagation using precise clocks based on the TWSTFT technique.

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Section: Resultsmentioning

confidence: 99%

“…After the two-way link difference, the error caused by the Sagnac effect is about 100-200 ns and needs further correction. The Sagnac effect correction for a one-way route from the ground station to satellite is given in a model that provides sufficient accuracy by the following expression [42,48,49]:…”

Section: Sagnac Effect Errormentioning

confidence: 99%

Measuring Height Difference Using Two-Way Satellite Time and Frequency Transfer

et al. 2022

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“…The hydrostatic tropospheric delay was corrected by the Saastamoinen model [30], and the tropospheric constraints were products released by IGS. Earth, pole, and ocean tides were corrected according to [31], and model corrections for the Sagnac [32] and the relativistic effect [33] have been used for model corrections. The Kalman filtering method was adopted to estimate the parameters, and finally the float solution was obtained.…”

Section: Processing Strategiesmentioning

confidence: 99%

Assessment of the Algorithm for Single Frequency Precise Point Positioning at Different Latitudes and with Distinct Magnetic Storm Conditions

et al. 2020

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This paper analyzes the convergence time and the root mean square (RMS) error of single frequency (SF) precise point positioning (PPP) in the ionospheric-constrained (TIC1) and troposphere- and ionospheric-constrained (TIC2) conditions, when the stations are at a low latitude, mid-latitude, and high latitude area during the period of a magnetic storm (MS) and a non-magnetic storm (NMS). In this paper, 375 IGS (international global navigation satellite system (GNSS) service) stations were selected from all over the world for 30 days in September 2017. The 24 hour daily observations were split for each station into 8 data sets of 3 hours each, so that a total of 90,000 tests were carried out. After statistical analysis, it was concluded that: during the MS period, the percentage of TIC2 shortened compared to the TIC1 convergence time, and it was by at least 3.9%, 3.0%, and 9.3% when the station was at global, low latitude, and high latitude areas, respectively. According to the statistical analysis, during the NMS period the convergence time was shortened about at least 12.8%, 11.0%, and 30.0% with respect to the stations in the MS period at global, low, and high latitude areas, respectively. If the station was located in the mid-latitude region, the convergence time was not shortened in some modes. The ionospheric activity in the mid-latitude region was less than that in the low-latitude region, while there were more stations in the mid-latitude region, and the precision of the global ionospheric maps (GIMs) and zenith tropospheric delay (ZTD) products were also slightly higher. Overall, TIC1 and TIC2 have a greater impact on convergence time, but have less impact on positioning accuracy, and only have a greater impact in different environments during the MS and NMS periods.

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“…However, because the Earth rotates around its axis, the receiver located on Earth experiences uniform motion. Hence, during the signal propagation, the location of the receiver on the ground changes with respect to the satellite, and the corresponding influence is referred to as the Sagnac effect (Bidikar et al 2016).…”

Section: Sagnac Effect Correctionmentioning

confidence: 99%

“…The Sagnac correction for a one-way path from satellite s to ground station k is given in a model that provides sufficient accuracy by the following expression (ITU-R 2010; Tseng et al 2011;Bidikar et al 2016…”

Section: Sagnac Effect Correctionmentioning

confidence: 99%

Geopotential determination based on a direct clock comparison using two-way satellite time and frequency transfer

Shen¹,

Sun²,

Cai³

et al. 2019

Terr. Atmos. Ocean. Sci.

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According to Einstein's general relativity theory, a precise (atomic) clock runs faster at a position with higher gravitational potential than a clock at a position with lower potential. Here, we provide a direct clock comparison using a fixed hydrogen clock and a portable hydrogen clock for geopotential determination based on the two-way satellite time and frequency transfer (TWSTFT) technique. After synchronizing the two hydrogen clocks at positions at the same height, the clocks were compared for a height difference of 22 m over a period of 14 days using the TWSTFT technique. Interpretation of the observed time elapse implies a height difference of 175 m +/-59 m, which matches the frequency stability of our instruments. This study and relevant experiments provide a way of determining the geopotential using ultrahigh precise clocks based on the TWSTFT technique in the near future.

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Sagnac Effect and SET Error Based Pseudorange Modeling for GPS Applications

Cited by 16 publications

References 6 publications

Measuring Height Difference Using Two-Way Satellite Time and Frequency Transfer

Measuring Height Difference Using Two-Way Satellite Time and Frequency Transfer

Assessment of the Algorithm for Single Frequency Precise Point Positioning at Different Latitudes and with Distinct Magnetic Storm Conditions

Geopotential determination based on a direct clock comparison using two-way satellite time and frequency transfer

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