Asymptotic expansions for acoustical modes of the homogeneous compressible model

Details Asymptotic expansions for acoustical modes of the homogeneous compressible model Asymptotic expansions for acoustical modes of the homogeneous compressible model

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37..221d&link_type=abstract

Astrophysics and Space Science, vol. 37, Oct. 1975, p. 221-233.

Computer Science

Sound

1

Asymptotic Methods, Chromosphere, Propagation Modes, Sound Transmission, Adiabatic Conditions, Atmospheric Models, Compressible Fluids, Differential Equations, Eigenvalues, Integral Equations

Scientific paper

The behavior of p-modes of high degree and high order in the homogeneous compressible model is examined. The second-order differential equation of Pekeris is used to construct asymptotic expansions near the center and near the surface, which are singular points, and near the turning point of that equation. An equation for the frequencies is obtained by requiring the continuity of the asymptotic solutions and of their first derivatives. Numerical applications are considered.-

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