  Motivated by the disparity between the experimentally observed properties of
superfluid 3He in aerogel and predictions of the Abrikosov and Gorkov theory of
superconducting alloys we consider effect of correlated pair-breaking
impurities on the temperature dependence of the square of magnitude of the
average order parameter and related thermodynamic properties of a Fermi
superfluid. We show that the correlations, increasing the spectral density of
the fluctuations with small wave vectors increase the transition temperature
and enhance a temperature region below Tc where fluctuations of the order
parameter dominate. Outside of this region we treat effect of impurities as a
perturbation and express corrections to thermodynamic properties in terms of
the structure factor of impurities. Assuming a simple model expression for
correlation function of aerogel we find corrections to the temperature
dependence of the NMR frequency shifts for A-like and B-like phases of 3He and
compare these with experimental data.
