Relativistic effects for low Earth orbit satellites using GPS

Physics

Scientific paper

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Atomic Clocks, Correction, Global Positioning System, Gravitational Effects, Metrology, Relativistic Effects, Relativity, Satellite Navigation Systems, Time Measurement, Doppler Effect, Earth Orbital Environments, Frequency Shift, Perigees, Sagnac Effect, Satellite Instruments, Synchronism

Scientific paper

The relativistic corrections for a low Earth orbit satellite are evaluated. The GPS (Global Positioning System) satellite clock rate is slowed before launch by 4.465 x 10(exp -10), called the 'factory offset', for time dilation and gravitational frequency shift. This offset cancels the main constant relativistic effects for terrestrial users, which in order to operate in coordinate time have only to process the GPS orbital eccentricities, a sinusoidal function whose peaks are in the order of tens of ns, and the Sagnac effect. For a space user the situation greatly differs, because a large part of the relativistic effects are still present due to the high velocity of the satellite and its location in the Earth gravitational field. Past tests and proposals for future measurements with GPS--perigee advance, Shapiro time delay, preferred frame independence, Lense Thirring effect, light bending and gravitational waves--are reviewed.

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