The Lorentz Transformation and the radar Doppler equation
Abstract
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.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- December 1983
- Bibcode:
- 1983STIN...8420745G
- Keywords:
-
- Doppler Radar;
- Errors;
- Lorentz Transformations;
- Orbits;
- Vacuum;
- Wave Propagation;
- Accuracy;
- Doppler Effect;
- Ephemerides;
- Mass;
- Moon;
- Relativity;
- Sun;
- Synchronous Satellites;
- Communications and Radar