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Astronomy and Astrophysics 481 (2008) 449-452
Regular patterns in the acoustic spectrum of rapidly rotating stars
D. Reese 1, F. Lignières 2, M. Rieutord 2
(2008-04)

Context: Rapid rotation modifies the structure of the frequency spectrum of pulsating stars, thus making mode identification difficult. Aims: We look for new forms of organisation for the frequency spectrum that can provide a basis for mode identification at high rotation rates. Methods: Acoustic modes in uniformly rotating polytropic models of stars are computed using a numerical code that fully takes the effects of rotation (centrifugal distortion and Coriolis acceleration) into account. All low-degree modes, ? = 0 to 3, with radial orders n = 1-10 and 21-25 for N = 3 polytropic models and n = 1-10 for N = 1.5 polytropic models are followed from a zero rotation rate up to 59% of the break-up velocity. Results: We find an empirical formula that gives a good description of the high-frequency range of the computed acoustic spectrum for high rotation rates. Differences between this formula and complete eigenmode calculations are shown to be substantially smaller than those obtained with a 3rd order perturbative method valid at low rotation rates.
1:  Laboratoire d'Astrophysique de l'Observatoire Midi-Pyrénées (LATT)
CNRS : UMR5572 – INSU – Observatoire Midi-Pyrénées – Université Paul Sabatier [UPS] - Toulouse III
2:  Laboratoire Astrophysique de Toulouse-Tarbes (LATT)
CNRS : UMR5572 – INSU – Observatoire Midi-Pyrénées – Université Paul Sabatier [UPS] - Toulouse III
Physics/Astrophysics/Cosmology and Extra-Galactic Astrophysics
stars: oscillations – stars: rotation
Fulltext link: 
http://fr.arXiv.org/abs/0801.4630