On the base of the stochastic model of M. Blunae for time-dependent hyperfine interactions the perturbation factors of the angular correlation function are evaluated. The results of numerical calculations for some special configurations of stochastic fluctuating field gradients as well as magnetic fields are presented. In the medium range where the fluctuation rates are comparable with the nuclear precession frequencies, interesting features are worked out for the spinrotation spectra. For the limiting case of very fast fluctuations it is proved that the well-known exponential decay of anisotropy as predicted by the theory of Abragam and Pound appears.