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

Source: [Third Order Effect of Rotation on Stellar Oscillations of a $\\beta$-Cephei Star](<https://www.sota2.com/research/paper/68fa28992c2a3760193c8f89>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:54.811Z

Authors: K.Karami

Published: 2008-10-28T17:23:15.000Z

## 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 $\\rm km s^{-1}$, 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 $n=-20$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0810.5092>)

[PDF](<https://arxiv.org/pdf/0810.5092.pdf>)