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The study of the quasi-periodic oscillations (QPOs) of X-ray flux observed inthe stellar-mass black hole (BH) binaries or quasars can provide a powerfultool for testing the phenomena occurring in strong gravity regime. We thus fitthe data of QPOs observed in the well known quasars as well as microquasars inthe framework of the model of geodesic oscillations of Keplerian disks modifiedfor the epicyclic oscillations of spinning test particles orbiting Kerr BHs. Weshow that the modified geodesic models of QPOs can explain the observationalfixed data from the quasars and microquasars but not for all sources. Weperform a successful fitting of the high frequency QPOs models of epicyclicresonance and its variants, relativistic precession and its variants, tidaldisruption, as well as warped disc models, and discuss the correspondingconstraints of parameters of the model, which are the spin $S$ of the testparticle, mass $M$ and spin $a$ of the BH.

european physical journal. c, particles and fields

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