The quantities Dn,l as measures of small frequency separations in the sun and their origin

Physics

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Distribution Functions, Solar Oscillations, Stellar Oscillations, Asymptotic Methods, Polytropic Processes, Propagation Modes, Solar Interior, Solar Physics

Scientific paper

The small frequency separations between 5-min solar oscillations of low degree l and radial order n and of low degree l + 2 and radial order n - 1 and their origin are examined. Exact values of several quantities Dn,0 are determined for a polytropic model with an index of 3 and with a total mass and total radius equal to the solar mass and solar radius. The integrand Gn,l of an exact integral for Dn,l is then introduced as a distribution function describing the variation of the contributions of the various polytropic layers to the separation. Finally, the integrand of the asymptotic approximations of Dn,l is considered as a distribution function of the contributions of the polytropic layers. This distribution function is found to be largely different from the integrand Gn,l.

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