An asymptotic description of solar acoustic oscillation of low and intermediate degree
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.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- February 1996
- DOI:
- 10.1093/mnras/278.4.940
- Bibcode:
- 1996MNRAS.278..940R
- Keywords:
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- WAVES;
- METHODS: NUMERICAL;
- SUN: OSCILLATIONS;
- STARS: OSCILLATIONS