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Resonance in forced oscillations of an accretion disk and kilohertz quasi-periodic oscillations

Journal article
Authors William H. Lee
Marek A Abramowicz
Wlodek Kluzniak
Published in Astrophysical Journal, Letters
Volume 603
Issue 2
Pages L93-L96
ISSN 0067-0049
Publication year 2004
Published at Department of Physics (GU)
Pages L93-L96
Language en
Subject categories Physical Sciences, Astronomy, Astrophysics and Cosmology


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 nonlinear 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 of the forcing frequency, precisely as recently observed in the accreting pulsar SAX J1808.4-3658, where the observed kilohertz quasi-periodic oscillation peak separation is half the spin frequency of 401 Hz.

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