Within the framework of the elliptic two-body problem, Nacozy (1977) defined and integrated a Sundman-type transformation of the time variable. The new independent variable tau introduced through this device was termed the intermediate anomaly of Keplerian motion. We propose a general and systematic derivation of this kind of anomaly within a universal formulation and representation of the two-body problem, and Nacozy`s developments are thus generalized and adapted to yield a uniform treatment of Kepler motion. To this end, an essential analytical tool is provided by certain classes of special functions, the so-called universal functions and Stumpff c-functions.