3:2?

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X-Ray Binaries, Black Holes, Neutron Stars, Accretion And Accretion Disks, Helioseismology, Pulsations, And Shock Waves, Galaxy Clusters, Astronomical Observations

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Quasiperiodic oscillations (QPOs) are observed in various neutron star (NS) and black hole (BH) X-ray binaries. Special kind of QPOs corresponds to kilohertz frequency range. These kHz QPOs attract a large part of astrophysical community due to a possible link to an orbital motion in a strong gravity close to the binary central compact object. In BH case frequencies of observed kHz QPO modulation remains usually constant for a given source. When more distinct kHz frequencies are measured within a given BH source, they appear in ratios of small natural numbers, typically in a 3:2 ratio. On the other hand, frequencies of NS kHz QPOs varies in individual sources even on scales of hundreds Hertz. It has been discussed in a serie of papers whether the 3:2 (and other) ratios pop up also in these variable frequencies of NS systems or not. Here we present a brief overview of the ``3:2 subject'' and summarize several recent findings of different autors which partially resolve this question. Finally, we specify some consequences for orbital QPO models.

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