The Lorentz Transformation and the radar Doppler equation

Details The Lorentz Transformation and the radar Doppler equation The Lorentz Transformation and the radar Doppler equation

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983stin...8420745g&link_type=abstract

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Physics

Doppler Radar, Errors, Lorentz Transformations, Orbits, Vacuum, Wave Propagation, Accuracy, Doppler Effect, Ephemerides, Mass, Moon, Relativity, Sun, Synchronous Satellites

Scientific paper

The propagation of the electromagnetic waves in vacuum is discussed in terms of the Lorentz Transformation. A simple, but rigorous, derivation of the Lorentz Transformation is given. Then, the observed Doppler shift, seen by a moving observer, of a moving target is derived in terms of inertial position and velocity. This radar Doppler equation, given without approximation, is suitable for analysis of Doppler data for satellite orbit determination.

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