Nonperiodic variations in astrophysical systems: Investigating frequency evolution

Details Nonperiodic variations in astrophysical systems: Investigating frequency evolution Nonperiodic variations in astrophysical systems: Investigating frequency evolution

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...445..861b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 445, no. 2, p. 861-871

Mathematics

11

Celestial Mechanics, Frequency Distribution, Peculiar Stars, Periodic Variations, Stellar Oscillations, Time Series Analysis, Wavelet Analysis, Gravitational Effects, Light Curve, Time Dependence, Transformations (Mathematics), X Ray Binaries

Scientific paper

We present a method related to the wavelet transform, the Gabor transform, for investigating astronomical time series containing non-consistent frequencies. Instances in which such data sets may arise include variable star light curves, numerical studies of the gravitational three-body problem, X-ray binaries, and signals from more exotic objects such as planets around pulsars and mass infall from accretion structures onto compact objects. As an illustration of its power, we apply the technique to a numerical data set of a gravitational three-body interaction and to photometry of the rapidly oscillating peculiar A star HD 60435. In the three-body example, the method provides an insightful shorthand that allows for the determination of episodes where the system behaves as two nearly Keplerian orbits. For HD 60435, the power in the main frequency exhibits unusual evolution over the duration of the observation.

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