Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained

Low Earth Orbit (LEO) satellites can augment the traditional GNSS-based positioning, navigation and timing services, which require real-time high-precision LEO satellite clock products. As the complicated systematic efects contained in the LEO satellite clock estimates limit their high-precision...

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Main Authors: Xie, Wei, Su, Hang, Wang, Kan, Liu, Jiawei, El-Mowafy, Ahmed, Yang, Xuhai
Format: Journal Article
Published: Springer Nature 2024
Subjects:
Online Access:http://purl.org/au-research/grants/arc/DP240101710
http://hdl.handle.net/20.500.11937/95660
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author Xie, Wei
Su, Hang
Wang, Kan
Liu, Jiawei
El-Mowafy, Ahmed
Yang, Xuhai
author_facet Xie, Wei
Su, Hang
Wang, Kan
Liu, Jiawei
El-Mowafy, Ahmed
Yang, Xuhai
author_sort Xie, Wei
building Curtin Institutional Repository
collection Online Access
description Low Earth Orbit (LEO) satellites can augment the traditional GNSS-based positioning, navigation and timing services, which require real-time high-precision LEO satellite clock products. As the complicated systematic efects contained in the LEO satellite clock estimates limit their high-precision mid- to long-term prediction, high-frequency LEO satellite clocks need to be estimated within a Kalman flter, resulting in a short prediction time for real-time applications. Compared to the clock estimation using Batch Least-Squares (BLS) adjustment, flter-based clock estimation experiences a lower precision. Increasing the model strength by introducing external orbital information, thus, de-correlating the orbital and clock param eters, will beneft real-time clock precision. In this contribution, reduced-dynamic LEO satellite orbits are frst estimated using BLS adjustment in near real-time and predicted in the short term. The predicted orbits are then constrained during the Kalman-flter-based clock estimation process. The variance–covariance matrix of the introduced orbital errors is tested for diferent sets of values in the radial, along-track and cross-track directions when constraining orbits of diferent prediction times. One week of GPS data from the Sentinel-3B satellite in 2018 was used for validation of the proposed method. When weakly constraining high-accuracy predicted orbits within a prediction time of 20 min, i.e., with a standard deviation of the constraint set to 2–3 dm in the radial and cross-track directions, and 4–6 dm in the along-track direction, the estimated clock accuracy can be improved from about 0.27 to 0.23 ns, with a 13.4% improvement. Depending on the prediction period of the introduced orbits, the Signal-In-Space Range Error (SISRE) of the LEO satellite to Earth can also be improved, from about 9.59 cm without constraints, to 7.38–8.07 cm after constraining the predicted orbits, with an improvement of 16–23%. The improvements in the SISRE also indicate a better consistency between the real-time clock and orbital estimates.
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institution Curtin University Malaysia
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spelling curtin-20.500.11937-956602024-09-24T08:35:30Z Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained Xie, Wei Su, Hang Wang, Kan Liu, Jiawei El-Mowafy, Ahmed Yang, Xuhai LEO GNSS satellite clock clock prediction Low Earth Orbit (LEO) satellites can augment the traditional GNSS-based positioning, navigation and timing services, which require real-time high-precision LEO satellite clock products. As the complicated systematic efects contained in the LEO satellite clock estimates limit their high-precision mid- to long-term prediction, high-frequency LEO satellite clocks need to be estimated within a Kalman flter, resulting in a short prediction time for real-time applications. Compared to the clock estimation using Batch Least-Squares (BLS) adjustment, flter-based clock estimation experiences a lower precision. Increasing the model strength by introducing external orbital information, thus, de-correlating the orbital and clock param eters, will beneft real-time clock precision. In this contribution, reduced-dynamic LEO satellite orbits are frst estimated using BLS adjustment in near real-time and predicted in the short term. The predicted orbits are then constrained during the Kalman-flter-based clock estimation process. The variance–covariance matrix of the introduced orbital errors is tested for diferent sets of values in the radial, along-track and cross-track directions when constraining orbits of diferent prediction times. One week of GPS data from the Sentinel-3B satellite in 2018 was used for validation of the proposed method. When weakly constraining high-accuracy predicted orbits within a prediction time of 20 min, i.e., with a standard deviation of the constraint set to 2–3 dm in the radial and cross-track directions, and 4–6 dm in the along-track direction, the estimated clock accuracy can be improved from about 0.27 to 0.23 ns, with a 13.4% improvement. Depending on the prediction period of the introduced orbits, the Signal-In-Space Range Error (SISRE) of the LEO satellite to Earth can also be improved, from about 9.59 cm without constraints, to 7.38–8.07 cm after constraining the predicted orbits, with an improvement of 16–23%. The improvements in the SISRE also indicate a better consistency between the real-time clock and orbital estimates. 2024 Journal Article http://hdl.handle.net/20.500.11937/95660 10.1007/s10291-024-01723-6 http://purl.org/au-research/grants/arc/DP240101710 http://creativecommons.org/licenses/by-nc-nd/4.0/ Springer Nature fulltext
spellingShingle LEO
GNSS
satellite clock
clock prediction
Xie, Wei
Su, Hang
Wang, Kan
Liu, Jiawei
El-Mowafy, Ahmed
Yang, Xuhai
Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title_full Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title_fullStr Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title_full_unstemmed Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title_short Real-time LEO satellite clock estimation with predicted LEO satellite orbits constrained
title_sort real-time leo satellite clock estimation with predicted leo satellite orbits constrained
topic LEO
GNSS
satellite clock
clock prediction
url http://purl.org/au-research/grants/arc/DP240101710
http://hdl.handle.net/20.500.11937/95660