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    Multi-resonance orbital models of QPOs

    Zdeněk Stuchlík · Listopad 27, 2008 · Fyzika · 0 comments
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    Publication date: n/a 2008

    Abstract:
    Using known frequencies of the accretion disc twin peak quasiperiodic
    oscillations (QPOs) and the known mass of the central black hole, the
    black hole dimensionless spin a can be determined, assuming a concrete
    version of the orbital resonance model. However, because of large range
    of observationally limited values of the black holemass, its spin can be
    estimated with a low precision only. Higher precision of the black hole
    spin measurement is possible in the framework of multi-resonance model
    of QPOs inspired by complex high-frequency QPO patterns observed in some
    black hole and neutron star systems. In the simple orbital resonance
    models we determine the spin and mass dependence of the twin peak
    frequencies for non-linear resonances of oscillations with the epicyclic
    and Keplerian frequencies or their combinations in the case of a general
    rational frequency ratio n : m, n ˜ m. In the multi-resonant
    model, the twin peak resonances are combined properly to give the
    observed frequency set. The multiresonant model is proposed in three
    distinct versions. In the first one, related probably to the neutron
    star binary systems, more instances of one resonance occur at more
    specific radii. In the second case, more resonances are sharing one
    specific radius, allowing for "cooperative" resonant phenomena in the
    field of black holes with a specific value of spin. In the third
    ("ugly") case, more resonances occur at more specific radii; we restrict
    our attention to the case of two such resonant radii. For special values
    of the spin, only triple-set of frequencies is observed because of
    coincidence of some frequencies, allowing determination of the spin from
    the triple frequency ratio set. The spin is determined precisely, but
    not uniquely as the same frequency set could be relevant formore than
    one concrete spin and combination of resonant oscillations.

    Authors:
    Stuchlik, Zdenek; Kotrlova, Andrea; Török, Gabriel;

    http://adsabs.harvard.edu/abs/2008cosp…37.3068S

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