Non-Linear Resonance in Nearly Geodesic Motion in Low-Mass X-Ray Binaries

By M. Abramowicz, V. Karas, W. Kluźniak, William H. Lee, P. Rebusco. 2003

133 citations recorded by the source corpus.

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 uid elements of an accretion disc to be subject to an isotropic perturbation having a hypothetical but rather general form. We nd 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.

Subfields: Astronomy and Astrophysics, Biomedical Engineering, Geophysics

View Paper: https://www.semanticscholar.org/paper/87cedb1cb15840b18b3132f00dc9322a1520f4a9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ramesh Narayan
2. J. E. McClintock
3. Cosimo Bambi
4. A. C. Fabian
5. T. Johannsen
6. Ronald A. Remillard
7. Dimitrios Psaltis
8. C. Reynolds

In Biomedical Engineering

1. J. E. McClintock
2. Ronald A. Remillard
3. A. C. Fabian
4. C. Reynolds
5. Zdenek Stuchlík
6. T. Johannsen
7. Ramesh Narayan
8. Dimitrios Psaltis

In Geophysics

1. J. E. McClintock
2. Ronald A. Remillard
3. Zdenek Stuchlík
4. C. Reynolds
5. Andrea Kotrlová
6. A. C. Fabian
7. Marek Abramowicz
8. Dimitrios Psaltis

Citations in the corpus

• The orbital resonance model for twin peak kHz quasi periodic oscillations in microquasars (2005, methodology): “A resonance of the type discussed above was found in numerical simulations of oscillations in a nearly Keplerian accretion disk by Abramowicz et al. (2003).”
• TESTING THE NO-HAIR THEOREM WITH OBSERVATIONS IN THE ELECTROMAGNETIC SPECTRUM. IV. RELATIVISTICALLY BROADENED IRON LINES (2012, result): “Similar conclusions can be reached for other QPO models, e.g., Kluźniak & Abramowicz (2001); Abramowicz et al. (2003); Rezzolla et al. (2003).”
• Broad Iron-Kα Emission Lines as a Diagnostic of Black Hole Spin (2007, background): “…and contradictory constraints on the mass and spin of the black hole result from assuming that the HFQPOs are manifestations of trapped global g-modes (Nowak & Wagoner 1992; Nowak et al. 1997), parametric resonances (Abramowicz et al. 2003), or Lens-Thirring precession (Merloni et al. 1999).”
• X-Ray Properties of Black-Hole Binaries (2006, background): “For example, the “parametric resonance” concept (Abramowicz et al. 2003; Kluzńiak et al. 2004; Török et al. 2005) describes oscillations rooted in fluid flow where there is a coupling between the radial and polar coordinate frequencies.”
• Multi-resonance orbital model of high-frequency quasi-periodic oscillations: possible high-precision determination of black hole and neutron star spin (2013, background): “…detected at lower frequencies, 600− 800 Hz vs. upper frequencies 900− 1200 Hz, demonstrating a clustering of the twin HF QPOs frequency ratio around 3 : 2 and thus indicating some analogy to the BH case (Abramowicz et al. 2003a; Belloni et al. 2007a; Török et al. 2008a,b,c; Boutelier et al. 2010).”