# Third Order Effect of Rotation on Stellar Oscillations of a B Star

Source: [Third Order Effect of Rotation on Stellar Oscillations of a B Star](<https://www.sota2.com/research/paper/68fa31a21e209131ce880374>)

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

Data updated: 2025-10-24T18:57:13.189Z

Authors: K. Karami

Published: 2005-02-09T16:23:53.000Z

## Abstract

The present paper aims at investigating the effect of rotation up to third order in the angular velocity of a star on p and g modes, based on the formalism developed by Soufi et al. (1998). Our ultimate goal is the study of oscillations of $\\beta$ Cephei stars which are often rapidly rotating stars. Our study shows that the third-order perturbation formalism presented by Soufi et al. (1998) must be corrected for some missing terms and some misprints in the equations. As a first step in our study of $\\beta$ Cephei stars, we quantify by numerical calculations the effect of rotation on the oscillation frequencies of a uniformly rotating zero-age main-sequence star with 12~$M\_\\odot$. For an equatorial velocity of 100~$\\rm km \\, s^{-1}$, it is found that the second- and third-order corrections for $(l,m)=(2,2)$, for instance, are of order of 0.01$\\%$ of the frequency for radial order $n=6$ and reaches up to 0.5$\\%$ for $n=14$.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/astro-ph/0502194>)

[PDF](<https://arxiv.org/pdf/astro-ph/0502194.pdf>)