The operational numerical-analytical modeling method is proposed to analyze the data of the upper atmosphere’s multifrequency Doppler sounding. On the basis of perturbation theory, the system of first-order differential equations is obtained for the joint calculation of the second statistical moments of the Doppler frequency shift and the average trajectory characteristics of the radio signal reflected from the atmosphere at different operating frequencies of sounding. As a model of random irregularities of the medium, we use the concept of the dielectric constant’s effective spatial-temporal correlation ellipsoid, which is self-consistent with the spatial changes in the middle atmosphere. Irregularities’ time fluctuations are taken into account within the framework of the hypothesis of frozen transport. The developed computing apparatus makes it possible to estimate the frequency fluctuations of the atmospheric radio signal in undisturbed and disturbed geophysical conditions. The results of numerical-analytical modeling of the root-mean-square deviations of decameter radio signals’ Doppler frequency shift during sounding of a randomly inhomogeneous upper atmosphere with different height profiles of dielectric constant are presented.
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