Relativistic Time Dilation and its Role in GPS System

Authors: Lisy Mary Thomas, Anil Kumar Das, Venkat Swamy G , Harsh Gupta

Country: India

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Abstract: A thorough analysis of relativistic time dilation and its crucial function in the precise functioning of the Global Positioning System (GPS) is presented in this work. The study looks at both gravitational time dilation predicted by General Relativity and kinematic time dilation resulting from Special Relativity. A review of significant experimental confirmations, such as the Pound-Rebka experiment, the Hafele-Keating experiment, muon lifetime measurements, and contemporary optical lattice clock experiments, follows a discussion of the theoretical underpinnings of these effects using the Lorentz transformation, the equivalency principle, and the Schwarzschild metric.
The application of relativistic adjustments to GPS satellite clocks is given special attention. GPS satellite clocks have a kinematic time loss of about 7.2 μs per day due to their high orbital velocity, and a gravitational time gain of about 45.7 μs per day due to their location in a weaker gravitational field. In comparison to clocks on Earth, the total effect yields a net clock gain of roughly 38.6 μs every day. The temporal error that would come from ignoring these relativistic effects would cause positioning errors of about 11 km per day, proving that relativity is a practical necessity for satellite navigation rather than just a theoretical idea.

Keywords: gravitational time dilation, kinematic time dilation, muon lifetime, Schwarzschild metric, optical lattice clocks, GPS

Paper Id: 233232

Published On: 2026-10-15

Published In: Volume 14, Issue 5, September-October 2026

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