Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.278..940r&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 278, Issue 4, pp. 940-946.
Astronomy and Astrophysics
Astronomy
21
Waves, Methods: Numerical, Sun: Oscillations, Stars: Oscillations
Scientific paper
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.
Roxburgh Ian W.
Vorontsov Sergei V.
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