Asymptotic analysis of low-frequency non-radial oscillations of uniformly rotating stars

Details Asymptotic analysis of low-frequency non-radial oscillations of uniformly rotating stars Asymptotic analysis of low-frequency non-radial oscillations of uniformly rotating stars

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.237..875l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 237, April 15, 1989, p. 875-901. Research supported by

Astronomy and Astrophysics

Astronomy

28

Asymptotic Methods, Stellar Oscillations, Stellar Rotation, Variable Stars, Differential Equations, Early Stars, Modes, Resonance

Scientific paper

An asymptotic method is used to obtain mathematical and physical interpretations for the peculiar properties of the low-frequency nonradial oscillations of uniformly rotating stars. The nonradial oscillations of the star are decomposed into an orthogonal set of modes, neglecting the horizontal component of the angular velocity of rotation. Dispersion relations are derived which demonstrate that the resonances between low-frequency g modes result in avoided crossings, and that avoided crossing or resonant instability occurs in the resonances between a g mode and a purely oscillatory convective mode.

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