Asymptotic approximations of nonradial oscillation modes of the Sun

Details Asymptotic approximations of nonradial oscillation modes of the Sun Asymptotic approximations of nonradial oscillation modes of the Sun

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988esasp.286..623s&link_type=abstract

In ESA, Seismology of the Sun and Sun-Like Stars p 623-627 (SEE N89-25819 19-92)

Computer Science

Sound

3

Acoustic Frequencies, Asymptotic Methods, P Waves, Solar Oscillations, Solar Physics, Wave Propagation, Cavity Resonators, Numerical Analysis, Solar Interior, Sound Waves

Scientific paper

An asymptotic approximation of higher-degree p-modes in the Sun with periods near 5 min is developed. As a starting point, the property is used that the inner boundaries of the acoustic resonant cavities in which these mode originate, are located at depths in the solar interior where the local acoustic frequency becomes equal to the angular frequencies considered. The treatment is based on Olver's asymptotic theory for second-order differential equations containing a large parameter. The equation determining the eigen-frequencies agrees with the equation derived by Gough by the use of ray theory. The transition to the equation determining eigen-frequencies of higher-order p-modes is also considered.

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