Classification of normal modes of rotating cylindrical systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Rotating Cylinders, Stellar Oscillations, Vibration Mode, Brunt-Vaisala Frequency, Coriolis Effect, Diffraction Patterns, Polytropic Processes

Scientific paper

Modes of rotating cylindrical systems are investigated by considering non-axisymmetric oscillations of uniformly rotating polytropic cylinders. The classification of the modes is clarified by the use of propagation diagrams. When the Brunt-Väisälä frequency tends to zero, the eigenfrequencies of backward propagating g-modes of rotating cylinders tend to zero, and the eigenfrequencies of forward propagating g-modes tend to frequencies of r-modes. The forward propagating g-modes of rotating cylindrical systems can thus be considered as gravitational-rotational modes.

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