  Considering the definition of inertial forces acting on a test particle,
following non-circular geodesics, in static and stationary space times we show
that the centrifugal force reversal occurs only in the case of particles
following prograde orbits around black holes. We first rewrite the covariant
expressions for the acceleration components in terms of the lapse function,
shift vector and the 3-metric $\gm_{ij}$, using the ADM 3+1 splitting and use
these, for different cases as given by pure radial motion, pure azimuthal
motion and the general non-circular motion. It is found that the reversal
occurs only when the azimuthal angular velocity of the particle supersedes the
radial velocity, which indeed depends upon the physical parameters $E$, $l$ and
the Kerr parameter $a$.
