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

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

2004-02-03

arxiv.org/abs/astro-ph/0402084v2

Astrophys.J. 603 (2004) L93-L96

Astronomy and Astrophysics

Astrophysics

Matches published version. One important typo corrected in section 2.2

Scientific paper

10.1086/383245

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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