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Resonance in Forced Oscillations of an Accretion Disk and Kilohertz Quasi Periodic Oscillations

William H. Lee·Marek A. Abramowicz·Wlodek Kluzniak
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Abstract

We have performed numerical simulations of a radially perturbed "accretion" torus around a black hole or neutron star and find that the torus performs radial and vertical motions at the appropriate epicyclic frequencies. We find clear evidence that vertical motions are excited in a non-linear resonance when the applied perturbation is periodic in time. The strongest resonant response occurs when the frequency difference of the two oscillations is equal to one-half the forcing frequency, precisely as recently observed in the accreting pulsar, SAX J1808.4-3658, where the observed kHz QPO peak separation is half the spin frequency of 401 Hz.

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William H. Lee, Marek A. Abramowicz, Wlodek Kluzniak. 2004-02-27. Resonance in Forced Oscillations of an Accretion Disk and Kilohertz Quasi Periodic Oscillations. https://doi.org/10.1086/383245

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