Journal Article

Misleading variations in estimated rotational frequency splittings of solar p modes: consequences for helioseismology and asteroseismology

Anne-Marie Broomhall, David Salabert, William J. Chaplin, Rafael A. García, Yvonne Elsworth, Rachel Howe and Savita Mathur

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 422, issue 4, pages 3564-3573
Published in print June 2012 | ISSN: 0035-8711
Published online May 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.20868.x
Misleading variations in estimated rotational frequency splittings of solar p modes: consequences for helioseismology and asteroseismology

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The aim of this paper is to investigate whether there are any 11-yr or quasi-biennial solar-cycle-related variations in solar rotational splitting frequencies of low-degree solar p modes. Although no 11-yr signals were observed, variations on a shorter time-scale (∼2 yr) were apparent. We show that the variations arose from complications/artefacts associated with the realization noise in the data and the process by which the data were analysed. More specifically, the realization noise was observed to have a larger effect on the rotational splittings than accounted for by the formal uncertainties. When used to infer the rotation profile of the Sun these variations are not important. The outer regions of the solar interior can be constrained using higher degree modes. While the variations in the low-l splittings do make large differences to the inferred rotation rate of the core, the core rotation rate is so poorly constrained, even by low-l modes, that the different inferred rotation profiles still agree within their respective 1σ uncertainties. By contrast, in asteroseismology, only low-l modes are visible and so higher l modes cannot be used to constrain the rotation profile of stars. Furthermore, we usually only have one data set from which to measure the observed low-l splitting. In such circumstances the inferred internal rotation rate of a main-sequence star could differ significantly from estimates of the surface rotation rate, hence leading to spurious conclusions. Therefore, extreme care must be taken when using only the splittings of low-l modes to draw conclusions about the average internal rotation rate of a star.

Keywords: methods: data analysis; Sun: activity; Sun: helioseismology; Sun: oscillations; stars: oscillations

Journal Article.  6863 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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