In this paper, we present an algorithm for determining a curve on the earths terrain on which a stationary emitter must lie according to a single Doppler shift measured on an unmanned aerial vehicle (UAV) or a low earth orbit satellite (LEOS). The mobile vehicle measures the Doppler shift and uses it to build equations for a particular right circular cone according to the Doppler shift and the vehicles velocity, then determines a curve consisting of points which represents the intersections of the cone with an ellipsoid that approximately describes the earths surface. The intersection points of the cone with the ellipsoid are mapped into a digital terrain data set, namely Digital Terrain Elevation Data (DTED), to generate the intersection points on the earths terrain. The work includes consideration of the possibility that the rotation of the earth could affect the Doppler shift, and of the errors resulting from the non-constant refractive index of the atmosphere and from lack of precise knowledge of the transmitter frequency.
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