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Here we present a short overview and main results of our investigations ofseveral effects which can induce shifts in the broad Fe K$\alpha$ line emittedfrom relativistic accretion disks around single and binary supermassive blackholes. We used numerical simulations based on ray-tracing method in the Kerrmetric to study the role of classical Doppler shift, special relativistictransverse Doppler shift and Doppler beaming, general relativisticgravitational redshift, and perturbations of the disk emissivity in theformation of the observed Fe K$\alpha$ line profiles. Besides, we alsoinvestigated whether the observed line profiles from the binary systems ofsupermassive black holes could be affected by the Doppler shifts due todynamics of such systems. The presented results demonstrate that all theseeffects could have a significant influence on the observed profiles of thebroad Fe K$\alpha$ line emitted from relativistic accretion disks around singleand binary supermassive black holes.

Line shifts in accretion disks - the case of Fe K$\alpha$