2008
DOI: 10.1051/0004-6361:20079343
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On deriving p-mode parameters for inclined solar-like stars

Abstract: Context. Thanks to their high quality, new and upcoming asteroseismic observations, with CoRoT, Kepler, and from the ground, benefit from experience gained with helioseismology. Aims. We focus, in this paper, on solar-like oscillations, for which the inclination of the rotation axis is unknown. We present a theoretical study of the errors of p-mode parameters determined by means of a maximum-likelihood estimator, and we also analyze correlations and biases. Methods. We used different, complementary approaches:… Show more

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Cited by 63 publications
(65 citation statements)
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“…These values -which are slightly higher than solarare consistent with the value given in Michel et al (2008), which was derived from a different method of analysis. It is important to recognise that, even when heights and widths have large errors or are biased, the power of modes -and hence their amplitudesare generally correctly estimated and with a smaller fractional error than the two parameters separately; it has been shown, for instance, that poor estimation of the inclination could simultaneously bias the fitted heights and widths, but not the power (Ballot et al 2008). In this sense, the derived values of the amplitudes are robust.…”
Section: Resultsmentioning
confidence: 96%
See 1 more Smart Citation
“…These values -which are slightly higher than solarare consistent with the value given in Michel et al (2008), which was derived from a different method of analysis. It is important to recognise that, even when heights and widths have large errors or are biased, the power of modes -and hence their amplitudesare generally correctly estimated and with a smaller fractional error than the two parameters separately; it has been shown, for instance, that poor estimation of the inclination could simultaneously bias the fitted heights and widths, but not the power (Ballot et al 2008). In this sense, the derived values of the amplitudes are robust.…”
Section: Resultsmentioning
confidence: 96%
“…The splitting parameter is difficult to estimate because when modes have large line widths, blending of the components of multiplets, and even of adjacent = 2 and l = 0 modes, results. This blending creates a strong correlation of the splitting parameter with the inclination parameter, making it difficult to disentangle the two (Ballot et al 2006(Ballot et al , 2008. A global fitting, as performed in this paper, can help to alleviate some of these problems.…”
Section: Resultsmentioning
confidence: 99%
“…From the spot modeling (Mosser et al 2009a) a value of 45 ± 10 • was found. This parameter is extremely important because it affects the amplitude ratios of the components of a multiplet of non-radial modes, and it is strongly connected to the rotational splitting (see, for example, Ballot et al 2008, and references therein).…”
Section: Constraining the Inclination Anglementioning
confidence: 99%
“…It is not only the lower signal-to-noise ratio of the p-mode asteroseismic signal that makes the fitting difficult, but also the high correlation between the inclination and the rotational splitting (Ballot et al 2006(Ballot et al , 2008. Because of that, the determination of these two parameters can be rather poor and will consequently affect the determination of the other parameters (frequencies, widths, heights, etc.).…”
Section: Extracting Individual P-mode Characteristicsmentioning
confidence: 99%
“…Moreover, combined with the measured v sin i = 19.0 ± 1.5 km s −1 (see Sect. 2) and assuming a given radius of the star, we can also estimate the inclination axis of the star, which can be very helpful to better constrain the fitting techniques to characterise the acoustic modes (Gizon & Solanki 2003;Ballot et al 2006Ballot et al , 2008.…”
Section: Surface Rotationmentioning
confidence: 99%