Twin peaks kHz QPOs: mathematics of the 3:2 orbital resonance

Details Twin peaks kHz QPOs: mathematics of the 3:2 orbital resonance Twin peaks kHz QPOs: mathematics of the 3:2 orbital resonance

2004-03-15

arxiv.org/abs/astro-ph/0403341v2

Astronomy and Astrophysics

Astrophysics

Published (25 June 2004) on PASJ, 56, 553

Scientific paper

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 solution obtained agrees with the previous numerical simulation. Such 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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