# Linear Stability Analysis of Differentially Rotating Polytropes: New Results for the m = 2 f-Mode Dynamical Instability

@article{Karino2003LinearSA, title={Linear Stability Analysis of Differentially Rotating Polytropes: New Results for the m = 2 f-Mode Dynamical Instability}, author={Shigeyuki Karino and Yoshiharu Eriguchi}, journal={The Astrophysical Journal}, year={2003}, volume={592}, pages={1119-1123} }

We have studied the f-mode oscillations of differentially rotating polytropes by making use of the linear stability analysis. We found that the critical values of T/|W| where the dynamical instability against the m = 2 f-mode oscillations sets in decrease down to T/|W| ~ 0.20 as the degree of differential rotation becomes higher. Here m is an azimuthal mode number and T and W are the rotational energy and gravitational potential energy, respectively. This tendency is almost independent of the…

## 23 Citations

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