  Relativistic Keplerian orbital frequency and related epicyclic frequencies
play an important role in physics of accretion discs orbiting Kerr black holes
and can by resonant or trapping effects explain quasiperiodic oscillations
observed in microquasars. Because of growing theoretical evidence on possible
existence of naked singularities, we discuss behaviour of the fundamenal
orbital frequencies for Keplerian motion in the field of Kerr naked
singularities, primarily in order to find phenomena that could observationally
distinguish a hypothetical naked singularity from black holes. Some
astrophysically important consequences are sketched, namely the existence of
strong resonant frequency for all Kerr naked singularities, with radial and
vertical epicyclic frequencies being equal at well defined radius.
