An asymptotic description of solar acoustic oscillation of low and intermediate degree

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Abstract
We present an asymptotic description of high-frequency solar p modes which permits an accurate treatment of regions where the seismic parameters vary rapidly with depth, and incorporates the strong effect of gravity perturbations on low-degree modes. The description is based on an asymptotic reduction of the governing fourth-order system of linear differential equations to second order. Approximate solutions of the second-order equation are then developed using a Born-type asymptotic expansion. The accuracy of the resulting description is tested numerically on a standard solar model. Higher order Born approximations give fractional accuracies of at least 10 −3. This is approximately an order of magnitude better than results from an earlier, more straightforward second-order analysis by Vorontsov.

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