Third Order Effect of Rotation on Stellar Oscillations of a $\beta$-Cephei Star

Abstract

Here the effect of rotation up to third order in the angular velocity of a star on the p, f and g modes is investigated. To do this, the third-order perturbation formalism presented by Soufi et al. (1998) and revised by Karami (2008), was used. I quantify by numerical calculations the effect of rotation on the oscillation frequencies of a uniformly rotating $\beta$-Cephei star with 12 $M_{\odot }$. For an equatorial velocity of 90 $\mathrm{km}{\mathrm{s}}^{-1}$, it is found that the second- and third-order corrections for $(l,m)=(5,-4)$, for instance, are of order of 0.07% of the frequency for radial order $n=-3$ and reaches up to 0.6% for $n=-20$.

13 pages, 2 figures, 10 tables

References in corpus (1)

• Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifugal accelerations

Cited by in corpus (1)

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