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Mode identification in rapidly rotating stars

Reese, D.R., Thompson, M.J., MacGregor, K.B., Jackson, S., Skumanich, A. and Metcalfe, T.S. (2009) Mode identification in rapidly rotating stars. Astronomy & Astrophysics, 506 (1). pp. 183-188. ISSN 0004-6361

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Context: Recent calculations of pulsation modes in rapidly rotating polytropic models and models based on the Self-Consistent Field method have shown that the frequency spectrum of low degree pulsation modes can be described by an empirical formula similar to Tassoul's asymptotic formula, provided that the underlying rotation profile is not too differential. Aims: Given the simplicity of this asymptotic formula, we investigate whether it can provide a means by which to identify pulsation modes in rapidly rotating stars. Methods: We develop a new mode identification scheme which consists in scanning a multidimensional parameter space for the formula coefficients which yield the best-fitting asymptotic spectra. This mode identification scheme is then tested on artificial spectra based on the asymptotic formula, on random frequencies and on spectra based on full numerical eigenmode calculations for which the mode identification is known beforehand. We also investigate the effects of adding random frequencies to mimic the effects of chaotic modes which are also expected to show up in such stars. Results: In the absence of chaotic modes, it is possible to accurately find a correct mode identification for most of the observed frequencies provided these frequencies are sufficiently close to their asymptotic values. The addition of random frequencies can very quickly become problematic and hinder correct mode identification. Modifying the mode identification scheme to reject the worst fitting modes can bring some improvement but the results still remain poorer than in the case without chaotic modes.

Item Type: Article
Copyright, Publisher and Additional Information: © ESO 2009. Reproduced in accordance with the publisher's self-archiving policy.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Prof Michael J. Thompson
Date Deposited: 11 Feb 2010 17:50
Last Modified: 21 Nov 2015 16:21
Published Version: http://dx.doi.org/10.1051/0004-6361/200911914
Status: Published
Publisher: EDP Sciences
Refereed: Yes
Identification Number: 10.1051/0004-6361/200911914
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10349

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