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• W2026854966 abstract "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 compressibility of the polytropes. These are the first exact results of the linear stability analysis for the occurrence of the dynamical instability against the m = 2 f-modes." @default.
• W2026854966 created "2016-06-24" @default.
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• W2026854966 date "2003-08-01" @default.
• W2026854966 modified "2023-10-01" @default.
• W2026854966 title "Linear Stability Analysis of Differentially Rotating Polytropes: New Results for the<i>m</i> = 2<i>f</i>‐Mode Dynamical Instability" @default.
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• W2026854966 doi "https://doi.org/10.1086/375768" @default.
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