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Title:
Non-Linear Resonance in Nearly Geodesic Motion in Low-Mass X-Ray Binaries
Authors:
Abramowicz, Marek A.; Karas, Vladimir; Kluzniak, Włodzimierz; Lee, William H.; Rebusco, Paola
Affiliation:
AA(Astrophysics Department, Chalmers University/Scuola Internazionale Superiore di Studi Avanzati/SISSA), AB(Astronomical Institute, Charles University Prague), AC(Scuola Internazionale Superiore di Studi Avanzati, SISSA/Institute of Astronomy, Zielona Gora University/CESR), AD(Scuola Internazionale Superiore di Studi Avanzati, SISSA/Instituto de Astronomia UNAM), AE(Scuola Internazionale Superiore di Studi Avanzati, SISSA/Department of Physics, Trieste University)
Publication:
Publications of the Astronomical Society of Japan, Vol.55, No.2, pp. 467-466 (OUP Homepage)
Publication Date:
04/2003
Origin:
PASJ
Astronomy Keywords:
accretion, general relativity, QPOs, X-rays: binaries, X-rays: individual (Scorpio X-1, J1655-40, J1550-564)
DOI:
10.1093/pasj/55.2.467
Bibliographic Code:
2003PASJ...55..467A

Abstract

We have explored the ideas that parametric resonance affects nearly geodesic motion around a black hole or a neutron star, and that it may be relevant to the high-frequency (twin) quasi-periodic oscillations that occur in some low-mass X-ray binaries. We have assumed the particles or fluid elements of an accretion disc to be subject to an isotropic perturbation having a hypothetical but rather general form. We find that the parametric resonance is indeed excited close to the radius where epicyclic frequencies of the radial and meridional oscillations are in a 2 : 3 ratio. The location and frequencies of the highest amplitude excitation vary with the strength of the perturbation. These results agree with actual frequency ratios of twin kHz QPOs that have been reported in some black hole candidates, and they may be consistent also with correlation of the twin peaks in Sco X-1.
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