  In light of the relativistic precession model, we present here detailed
analyses, extending the ones performed in the Schwarzschild and Kerr
spacetimes. We consider the kilohertz quasi-periodic oscillations in the
Hartle-Thorne spacetime, which describes the gravitational field of a rotating
and deformed object. We derive the analytic formulas for the epicyclic
frequencies in the Hartel-Thorne spacetime and by means of these frequencies we
interpret the kilohertz quasi-periodic oscillations of low-mass X-ray binaries
of the atoll and Z - sources, on the basis of the relativistic precession
model. Particularly we perform analyzes for Z -source: GX 5-1. We show that the
quasi-periodic oscillations data can provide information on the parameters,
namely, the mass, angular momentum and quadrupole moment of the compact objects
in the low-mass X-ray binaries.
