Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.190..765c&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 190, Mar. 1980, p. 765-791. Research supported by Aarhus Universitet.
Astronomy and Astrophysics
Astronomy
55
Adiabatic Conditions, Oscillations, Stellar Evolution, Stellar Models, Stellar Spectra, Acoustic Frequencies, Approximation, Boundary Value Problems, Buoyancy, Frequency Response, Spheres, Stellar Gravitation
Scientific paper
The properties of adiabatic non-radial oscillations of spherical stars are analyzed, both analytically and numerically. A strict upper bound on the frequencies of g(plus) modes is found, related to the local buoyancy and acoustic frequencies. By analysing asymptotically the low order modes with high l these are shown to be split into modes trapped near the surface and modes trapped at the local maxima of the buoyancy frequency and asymptotic expressions for the frequencies of the modes in these groups are derived. At points where their frequencies agree, modes from two different groups exhibit avoided crossings, and the nature of one of these is analyzed in detail.
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