Effects of moderately fast shellular rotation on adiabatic oscillations

We investigate adiabatic oscillations for delta Scuti star models, taking a moderate rotation velocity ( around 100 km s(-1)) into account. The resulting oscillation frequencies include corrections for rotation up to second order in the rotation rate including those of near degeneracy. Effects of either a uniform rotation or a rotation profile assuming local angular momentum conservation of the form Omega=Omega(r) on oscillation frequencies are compared. As expected, important differences ( around 3 mu Hz) are obtained in the g and mixed-mode regions. For higher-frequency p modes, differences range between 1 mu Hz and 3 mu Hz. Such differences are likely to be detectable with future space missions such as COROT, where precisions in frequency around 0.5 mu Hz are expected to be reached.