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Observatoire Midi-Pyrénées |  |
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Observatoire Midi-Pyrénées | |
| HAL: hal-00706067, version 1 |
| arXiv: 1205.6689 |
| DOI: 10.1051/0004-6361/201219716 |
| Detailed view |  Export this paper |
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| Astronomy and Astrophysics 546 (2012) A11 |
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| Regular Oscillation Sub-spectrum of Rapidly Rotating Stars |
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| Michael Pasek 1, 2François Lignières 1 |
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| (2012-09-26) |
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| We present an asymptotic theory that describes regular frequency spacings of pressure modes in rapidly rotating stars. 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. 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. |
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| 1: | Institut de recherche en astrophysique et planétologie (IRAP) |
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CNRS : UMR5277 – Université Paul Sabatier [UPS] - Toulouse III – Observatoire Midi-Pyrénées |
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| 2: | Laboratoire de Physique Théorique - IRSAMC (LPT) |
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CNRS : UMR5152 – Université Paul Sabatier [UPS] - Toulouse III |
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| 3: | Institut d'Astrophysique et Geophysique de l'Universite de Liege |
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Université de Liège |
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| Information et Chaos Quantiques |
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| Subject | : | Nonlinear Sciences/Chaotic Dynamics Physics/Astrophysics/Solar and Stellar Astrophysics Sciences of the Universe/Astrophysics/Solar and Stellar Astrophysics |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/1205.6689 |
| hal-00706067, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00706067 | |
| oai:hal.archives-ouvertes.fr:hal-00706067 | |
| From: Bertrand Georgeot | |
| Submitted on: Friday, 8 June 2012 18:28:45 | |
| Updated on: Monday, 28 January 2013 14:39:07 | |
