Deviations from the normal mode spectrum of asymptotic theory. I - Identification of quasi-periodic departures in the low-degree spectrum of the solar 5-min oscillations

Statistics – Computation

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Asymptotic Methods, Periodic Variations, Solar Oscillations, Solar Spectra, Vibration Mode, Computational Astrophysics, Spectral Line Width, Spectrum Analysis

Scientific paper

Hill's (1985) study on the low-degree 5 min eigenfrequency spectrum of the sun is extended to consider the work of Harvey and Duvall (1984) and Libbrecht and Zirin (1986). Deviations between observations and theory are found to be about four times larger than expected from the eigenfrequency determinations, and deviations are tested for departures from predictions of asymptotic theory which are quasi-periodic as a function of radial order and degree. Seven different sets of deviations from asymptotic theory predictions found are suggested to be projections of a parent quasi-periodic function. It is shown that the existence of a quasi-periodic behavior in the superimposed spectrum of frequency differences is physically plausible. The data indicate that the location of the region which leads to the greatest departure from asymptotic theory predictions is 0.757 + or - 0.002 solar radii, suggesting that this region is connected with the transition zone between the radiative interior and the convection zone.

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