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Speaker |
Rana, Prerna |
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Coauthors |
A. Mangalam |
| Talk Title |
Commensurability of QPO Frequencies in BHXRB |
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Abstract |
We study equatorial eccentric orbits in Kerr geometry and apply relativistic precession model to the cases of black hole X-ray binaries (BHXRB) where two HFQPOs (High-Frequency Quasi-Periodic Oscillations) and Type-C QPO are simultaneously observed, or to the cases where only two simultaneous HFQPOs are observed, for example in GROJ1655-40, M82X-1, XTEJ1550-564, 4U1630-47, and GRS1915+105. We assume that the frequencies to be Gaussian or Gamma distributed and calculate probability distributions to infer eccentricity $e$, periastron distance $r_p$, of the orbit giving rise to QPOs, and the spin of the black hole, $a$. In the equatorial case, we find that the eccentric solutions are found in the region between ISCO and the marginally bound orbit. We also establish the primacy of eccentric orbits in this region for the generation of 3:2 ($\mathcal{R}=\nu_{\phi}/(\nu_{\phi}-\nu_{r}) \simeq1.5$) commensurability of QPOs as a strong possibility. We also explore the dynamical parameter space to produce commonly found fundamental frequency ratios for spherical ($Q\neq0$) bound trajectories in the coronal region. |
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