Epicyclic oscillations in spinning particle motion around Kerr black hole applied in models fitting the quasi-periodic oscillations observed in microquasars and AGNs

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