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Here the effect of rotation up to third order in the angular velocity of astar on the p, f and g modes is investigated. To do this, the third-orderperturbation formalism presented by Soufi et al. (1998) and revised by Karami(2008), was used. I quantify by numerical calculations the effect of rotationon the oscillation frequencies of a uniformly rotating $\beta$-Cephei star with12 $M_\odot$. For an equatorial velocity of 90 $\rm km s^{-1}$, it is foundthat 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 upto 0.6% for $n=-20$.

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