Non-Linear Resonance in Nearly Geodesic Motion in Low-Mass X-Ray Binaries

摘要: We have explored the ideas that parametric resonance affects nearly geodesic motion around a black hole or neutron star, and it may be relevant to high-frequency (twin) quasi-periodic oscillations occur in some low-mass X-ray binaries. assumed particles uid elements of an accretion disc subject isotropic perturbation having hypothetical but rather general form. nd is indeed excited close radius where epicyclic frequencies radial meridional are 2 : 3 ratio. The location highest amplitude excitation vary with strength perturbation. These results agree actual frequency ratios twin kHz QPOs been reported candidates, they consistent also correlation peaks Sco X-1.