The nonadiabatic analysis of nonradial modes of stellar oscillation in the presence of slow rotation

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Cepheid Variables, Stellar Oscillations, Stellar Rotation, Linear Equations, Mathematical Models, Nonadiabatic Conditions, Periodic Variations

Scientific paper

The linearized equations governing nonadiabatic, nonradial pulsations of a slowly but uniformly rotating star have been derived. A large number of numerical examples are presented for near main sequence evolution of a 12-solar-mass star. All modes with 1 = 2 and 3 and with periods between two and 15 hours were examined for this sequence. Other masses and values of l were studied, but to a lesser extent. For all modes and sequences studied it was found that slow, uniform rotation increases the pulsation frequency (as observed from an inertial frame) of prograde modes (m less than 0), and conversely for retrograde modes. The effect of rotation on stability is not as clear-cut. On the main sequence it enhances the stability of retrograde modes and makes prograde modes less stable. As evolution progresses, this distinction becomes less strong. Possible implications for Beta Cephei and line profile variables are discussed.

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