  Two pseudo-Newtonian potentials, which approximate the angular and epicyclic
frequencies of the relativistic accretion disk around rotating (and counter
rotating) compact objects, are presented. One of them, the Logarithmically
Modified Potential, is a better approximation for the frequencies while the
other, the Second-order Expanded potential, also reproduces the specific energy
for circular orbits in close agreement with the General Relativistic values.
These potentials may be included in time dependent hydrodynamical simulations
to study the temporal behavior of such accretion disks.
