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On determination of heights by using terrestrial clocks and GPS signals

V. A. Brumberg, E. Groten

Journal of Geodesy, 76(1), 49-54 (2002)

Keywords: General Relativity, Clocks, GPS, Geoid

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Abstract

Considering a GPS satellite and two terrestrial stations, two types of equations are derived relating the heights of the two stations to the measured data (frequency ratio or clock rate differences) and the coordinates and velocity components of all three participating objects. The potential possibilities of using such relations for the determination of heights (in terms of geopotential numbers or orthometric heights) are discussed.