  The study of the quasi-periodic oscillations (QPOs) of X-ray flux observed in
the stellar-mass black hole (BH) binaries or quasars can provide a powerful
tool for testing the phenomena occurring in strong gravity regime. We thus fit
the data of QPOs observed in the well known quasars as well as microquasars in
the framework of the model of geodesic oscillations of Keplerian disks modified
for the epicyclic oscillations of spinning test particles orbiting Kerr BHs. We
show that the modified geodesic models of QPOs can explain the observational
fixed data from the quasars and microquasars but not for all sources. We
perform a successful fitting of the high frequency QPOs models of epicyclic
resonance and its variants, relativistic precession and its variants, tidal
disruption, as well as warped disc models, and discuss the corresponding
constraints of parameters of the model, which are the spin $S$ of the test
particle, mass $M$ and spin $a$ of the BH.

High Energy Astrophysical Phenomena