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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 15, 1983
Accession Number
ADA137901

Entities

People

  • E. M. Gaposchkin

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Doppler Effect
  • Equations
  • Frequency
  • Frequency Shift
  • General Relativity
  • Geosynchronous Satellites
  • Measurement
  • Moving Targets
  • Observers
  • Orbits
  • Plane Waves
  • Relativity Theory
  • Satellite Orbits
  • Targets
  • Trajectories
  • Waves

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Radar Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Space Objects