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Title:
Twin Peaks kHz QPOs: Mathematics of the 3:2 Orbital Resonance
Authors:
Rebusco, Paola
Affiliation:
AA(Max-Planck-Institut für Astrophysik, D-85741 Garching bei München, Germany; Department of Physics, Trieste University, I-34 127 Trieste, Italy)
Publication:
Publications of the Astronomical Society of Japan, Vol.56, No.3, pp. 553-557 (OUP Homepage)
Publication Date:
06/2004
Origin:
PASJ
Astronomy Keywords:
accretion, general relativity, QPOs, X-rays: individual (Sco X-1)
DOI:
10.1093/pasj/56.3.553
Bibliographic Code:
2004PASJ...56..553R

Abstract

Using the method of multiple scales, one can derive an analytic solution that describes the behaviour of weakly coupled, non-linear oscillations in nearly Keplerian discs around neutron stars or black holes close to the 3 : 2 orbital epicyclic resonance. The obtained solution agrees with a previous numerical simulation. Such a result may be relevant to the kilohertz quasi-periodic variability in X-ray fluxes observed in many Galactic black hole and neutron star sources. With a particular choice of tunable parameters, the solution fits accurately the observational data for Sco X-1.
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