Non-adiabatic tidal forcing of a massive, uniformly rotating star III: Asymptotic treatment for low frequencies in the inertial regime

Abstract

We describe a generalization of the asymptotic calculation of the tidal torques experienced by a massive star as a result of a companion in circular orbit originally considered by Zahn (1975,1977) to the case of a rotating star when the forcing frequency is small and in the inertial regime, that is it is less than twice the rotation frequency in magnitude. The results confirm the presence of a strong toroidal mode resonance feature for retrograde forcing and also, with a simple description of the convective core, the presence of some core inertial mode features in the response. These were found numerically by Savonije and Papaloizou (astro-ph/9706186).