Mode Splitting In Rapidly Rotating Stars

Computer Science

Scientific paper

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Low-Amplitude Blue Variables, Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages, Main-Sequence: Early-Type Stars

Scientific paper

I compute linear, adiabatic pulsation frequencies for axisymmetric and nonaxisymmetric low order p modes to examine the rotational splitting. The calculations are not restricted to low rotation rates or to a single Legendre polynomial representation of the horizontal variation of the eigenfunction. At low rotation, the splitting is proportional to the rotation rate and the azimuthal order of the mode (m), as one would expect. At higher rotation rates the splitting ceases to be linear as higher order terms begin to influence the splitting. This first manifests itself as a difference in the magnitude of the splitting between positive and negative values of m. Still higher rotation rates change the spacing between adjacent values of m. Differential rotation affects rotational splitting such that values of m less than l show the largest effects. This should provide information about the interior angular momentum distribution if all mode splittings are present and can be identified.

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