The asymptotic structure of the p-modes frequency spectrum in rapidly rotating stars
Résumé
An asymptotic theory for p-modes in rapidly rotating stars is constructed by studying the acoustic ray dynamics. The dynamics is then interpreted in terms of mode properties, us- ing the concepts and methods developed in the field of quantum chaos. Accordingly, the high-frequency spectrum is a superposition of regular frequency patterns associated with the near-integrable regions of the ray dynamics phase space and an irregular frequency subset associated with a chaotic phase space region. Estimation of the mode visibilities from the disk-averaging factor suggests that the visible spectrum mainly contains a class of regular modes and the irregular frequency subset.