[en] <BR /> Aims: We present an asymptotic theory that describes regular frequency spacings of pressure modes in rapidly rotating stars. <BR /> Methods: We use an asymptotic method based on an approximate solution of the pressure wave equation constructed from a stable periodic solution of the ray limit. The approximate solution has a Gaussian envelope around the stable ray, and its quantization yields the frequency spectrum. <BR /> Results: We construct semi-analytical formulas for regular frequency spacings and mode spatial distributions of a subclass of pressure modes in rapidly rotating stars. The results of these formulas are in good agreement with numerical data for oscillations in polytropic stellar models. The regular frequency spacings depend explicitly on internal properties of the star, and their computation for different rotation rates gives new insights on the evolution of mode frequencies with rotation.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Pasek, M.; CNRS, IRAP, 14 avenue Edouard Belin, 31400, Toulouse, France ; Université de Toulouse, UPS-OMP, IRAP, Toulouse, France ; CNRS, LPT (IRSAMC), 31062, Toulouse, France ; Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), 31062, Toulouse, France
Lignières, F.; CNRS, IRAP, 14 avenue Edouard Belin, 31400, Toulouse, France ; Université de Toulouse, UPS-OMP, IRAP, Toulouse, France
Georgeot, B.; CNRS, LPT (IRSAMC), 31062, Toulouse, France ; Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), 31062, Toulouse, France
Reese, Daniel ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Astrophysique stellaire théorique et astérosismologie
Language :
English
Title :
Regular oscillation sub-spectrum of rapidly rotating stars
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