Earth's outer radiation belt is a hostile environment where relativistic electrons—those with energies exceeding 1 MeV—can surge dramatically during geomagnetic storms, posing serious risks to satellites through internal charging and electrostatic discharge. The Global Positioning System (GPS) constellation, orbiting at about 20,200 kilometers, has carried particle detectors since the late 1990s, offering near-continuous observations across multiple solar cycles. Yet different satellites often report vastly different flux values for the same electron populations, with some deviating by orders of magnitude in low-flux regions. To address these challenges, the research team recognized an urgent need to systematically reconcile these inter-satellite discrepancies and unlock the full scientific potential of the GPS dataset.
A team led by scientists from Beihang University and the Chinese Academy of Sciences has now tackled this long-standing problem. Their findings, published (DOI: 10.1186/s43020-026-00203-1) on July 6, 2026, in the journal Satellite Navigation, demonstrate a robust method to harmonize energetic electron measurements across the GPS constellation. Taking the 2.0 MeV differential fluxes and the ≥2.0 MeV integral fluxes as test cases, the researchers established a calibration framework that can be extended to all energy channels, providing a consistent foundation for radiation belt modeling and space weather forecasting.
The team chose NS59 as the reference satellite due to its extensive data record and significant temporal overlap with most other GPS satellites. Using a magnetic-coordinate conjunction method—matching observations at the same (Lm, B/B₀) positions—they applied a two-step cubic polynomial fitting to log-transformed flux data. The first fit established an initial relationship; then, the lowest and highest 5% of data points were discarded to eliminate outliers before a second fit produced the final calibration curve. For the 2.0 MeV differential fluxes, the root-mean-square deviation (RMSD) improved by a factor of 3.08 on average, while correlation coefficients (CC) increased by 14%. The ≥2.0 MeV integral fluxes showed RMSD improvements of 1.68-fold. Notably, satellites NS41 and NS48—which carry different detector types—showed dramatic improvements: NS48's RMSD dropped from 3.79 to 0.107, and its CC jumped from 0.255 to 0.992. However, NS74 remained problematic even after calibration, with persistently scattered data, leading the authors to recommend against its use.
"The GPS constellation has been an underutilized treasure trove for radiation belt science," the authors said. "By establishing this calibration framework, we've essentially turned 25 individual sensors into one cohesive, long-term observatory. The improvement is most striking for satellites that previously looked like outliers—now their data falls neatly into place. This isn't just about fixing numbers; it's about giving the space weather community a reliable, decades-long record that can finally be used with confidence for forecasting and anomaly studies."
The calibrated dataset spans 2000 to 2020, covering two complete solar cycles and providing an unprecedented resource for studying the long-term dynamics of relativistic electrons in medium Earth orbit (MEO). This work lays the groundwork for extending the calibration to all remaining energy channels—14 differential and 29 integral channels—and the methodology has already been applied to cross-calibrate GPS data with BeiDou and Van Allen Probes observations. For satellite operators and space weather forecasters, this means more accurate predictions of electron flux enhancements that can damage electronics and disrupt missions. The study also offers a template for calibrating data from other satellite constellations, potentially revolutionizing how we monitor and model the hazardous particle environment in Earth's radiation belts.
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References
DOI
10.1186/s43020-026-00203-1
Original Source URL
https://doi.org/10.1186/s43020-026-00203-1
Funding information
This work was funded by the China Postdoctoral Science Foundation 2025M784268, the National Natural Science Foundation of China Grants 42441809, the National Natural Science Foundation of China Project U2106201, and the NSFC Regional Innovation and Development Joint Fund U25A20784.
About Satellite Navigation
Satellite Navigation (ISSN: 2662-1363; ISSN: 2662-9291) Satellite Navigation is the official journal of the Aerospace Information Research Institute. The aims to report innovative ideas, new results or progress on the theoretical techniques and applications of satellite navigation. The journal welcomes original articles, reviews and commentaries.