Simple formulae are derived for determination of approximate true anomalies of proximity positions of two celestial bodies moving in non-quasicomplanar elliptical orbits. These anomalies are necessary for the finding of the minimum mutual distance of these bodies. The method seems appropriate to serial investigation and can be applied to the discussion of the quasicomplanar orbits as well. The tangents of the true anomalies as functions of the known vector constants P, Q, R are used at deriving the formulae.