Equations for Bistatic Doppler Shift and Rate of Change of Doppler Shift of Dark Satellite Observations
NAVAL RESEARCH LAB WASHINGTON DC
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Equations are given for the doppler shift and rate of change of doppler shift for the bistatic case where an orbiting, nontransmitting earth satellite is illuminated by a transmitter, and the reflected energy is received at different locations on the surface of the earth. These equations have been programmed for computation by the NAREC computer for any satellite for which the orbital elements are known. The results for a number of satellites have been computed, using transmitting and receiving sites of the Space Surveillance System. Plots of various relationships between doppler shift, rate of change of doppler shift, satellite height, earth-center angle between the receiver and the satellite, and zenith angle from receiver to satellite are shown for a typical satellite, 1958 Alpha, Explorer I.
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