Observed asymptotic properties of low-degree solar gravity-mode eigenfrequencies

Computer Science – Numerical Analysis

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Asymptotic Properties, Eigenvalues, Solar Gravitation, Solar Oscillations, Numerical Analysis, Parameterization, Solar Physics, Spectrum Analysis

Scientific paper

The asymptotic properties of the low-degree solar gravity modes classified by Hill and Gu (1988) are studied in the framework of first- and second-order asymptotic theory predictions. The results demonstrate the necessity of retaining the second-order term in asymptotic theory to describe the eigenfrequency spectrum. In this theory, there are two first-order parameters, T0 and delta, and two second-order parameters, V1 and V2. Values of the parameters obtained in this analysis are: T0 = 36.31 + or - 0.12 min, delta = -043 + or - 0.13, V1 = 0.35, and V2 = 4.76. There remain differences of 0.3 micro Hz between the asymptotic theory eigenfrequencies and observed eigenfrequencies which are quasi-periodic functions of the radial order n for a given value of the degree l.

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