The Relativistic Corrections of GPS
Takeshi Fukuyama, Sueo Sugimoto

TL;DR
This paper details the derivation of relativistic effects on GPS signals, including small orbital deviations, which are crucial for precise applications like particle physics experiments.
Contribution
It provides a detailed derivation of relativistic corrections for GPS, focusing on effects due to small orbital deviations, which was not previously publicly documented.
Findings
Relativistic effects on GPS are significant for precise measurements.
Derivation of effects due to small orbital deviations is provided.
The results are useful for particle physics experiments using GPS.
Abstract
We calculate the special and general relativistic effects of the Global Positioning System (GPS), especially the effects depending on the small deviation of the orbit from the circular one. This effect is well known but, to our knowledge, the detail of its derivation is not known publicly. GPS is widely used in particle physics experiments and this letter may be useful among this community.
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Taxonomy
TopicsRadio Astronomy Observations and Technology · GNSS positioning and interference · Geophysics and Gravity Measurements
