Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifu
By D. Reese, F. Lignières, Michel Rieutord. 2006
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Context. With the launch of space missions devoted to asteroseismology (like COROT), the scientific community will soon have accurate measurements of pulsation frequencies in many rapidly rotating stars. Aims. The present work focuses on the effects of rotation on pulsations of rapidly rotating stars when both the Coriolis and centrifugal accelerations require a non-perturbative treatment. Methods. We develop a 2-dimensional spectral numerical approach which allows us to compute acoustic modes in centrifugally distorted polytropes including the full influence of the Coriolis force. This method is validated through comparisons with previous studies, and the results are shown to be highly accurate. Results. In the frequency range considered and with COROT's accuracy, we establish a domain of validity for perturbative methods, thus showing the need for complete calculations beyond $v \sin i=50\,\mathrm{km\,s}^{-1}$ for a $R = 2.3\,R_\odot$, $M=1.9\,M_\odot$ polytropic star. Furthermore, it is shown that the main differences between complete and perturbative calculations come essentially from the centrifugal distortion.
Subfields: Astronomy and Astrophysics, Instrumentation
View Paper: https://www.semanticscholar.org/paper/751330b35babcef904c61fe2827e577ebadb8a18
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Citations in the corpus
- Seismic diagnostics for transport of angular momentum in stars. I. Rotational splittings from the pre-main sequence to the red-giant branch. (2012, methodology): “In such cases, nonperturbative methods must be used (such as those developed in Lignières et al. 2006; Ouazzani et al. 2012; Reese et al. 2006).”
- GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme (2013, methodology): “…the effects of stellar rotation — first within the traditional approximation (e.g., Townsend 2005), and then using the spherical harmonic expansion approach pioneered by Durney & Skumanich (1968) and recently adopted by various groups (e.g., Lee 2001; Reese et al. 2006; Ouazzani et al. 2012).”