The application of a Bessel transform to the determination of stellar rotational velocities

Deeming, Terence J.

doi:10.1007/bf00643749

Cited by 9 publications

(7 citation statements)

References 6 publications

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“…The method of Fourier-Bessel transformation of spectral lines, as introduced by Deeming (1977), is based on the philosophy that an integral transform is optimal when Send offprint requests to: A.J.M. Piters the transformed signal is close to a delta function.…”

Section: Rotational Broadeningmentioning

confidence: 99%

“…Also, we have assumed the line to be not too strong, such that saturation effects are absent. The effect of saturation was already investigated by Deeming (1977). The Fourier transform F (u) of this rotationally broadened Voigt profile is the product of the Fourier transforms of the contributing profiles F G (u), F L (u) and F rot (u):…”

Section: Other Broadening Mechanismsmentioning

confidence: 99%

“…In evaluating the Bessel-transform we need to choose a cut-off frequency in the Fourier-domain (Deeming 1977). We find that the choice of this frequency is very important in the exact location of the maximum, in contrast with the findings of Deeming.…”

Section: Cut-off Frequencymentioning

confidence: 99%

“…The noise variance on a general transform is proportional to the noise variance on the original data, in the common case of white noise on the input data. However, the noise on the Fourier-Bessel transform may be correlated (Deeming 1977). Figure 8 shows the average offset (dashed line) and the root mean square value (dot-dashed line) of the noise on the Bessel transform, assuming a purely rotationally broadened line profile with Poisson noise.…”

Section: Observational Constraintsmentioning

confidence: 99%

“…This method was introduced by Deeming (1977), who showed that a combined FourierBessel transform of a line profile shows a peak, the location of which is determined by the rotational velocity. The aim of this paper is to investigate the working range of this method and its limiting conditions.…”

Section: Introductionmentioning

confidence: 99%

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A combined Fourier-Bessel transformation method to derive accurate rotational velocities

Piters

Groot

Paradijs

1996

Astron. Astrophys. Suppl. Ser.

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Abstract. -We describe in some detail the characteristics of a combined Fourier-Bessel transformation technique to derive projected equatorial rotational velocities from spectral line profiles. This technique shares with the Fourier-transformation method, developed by Gray, that it distinguishes rotational broadening of a spectral line from broadening by other mechanisms. The range of rotational velocity values that can be derived with this method is limited mainly by the spectral resolution (low velocities) and by line blending and the signal-to-noise ratio (high velocities). We discuss the uncertainty on the outcoming rotational velocity as a result of various effects, such as limbdarkening, spectral resolution, noise, data-preparation, and intrinsic broadening. We conclude that the Fourier-Bessel transformation method can provide rotational velocities , with a typical uncertainty down to a few percent. It does not include any modelling of individual stars with effects as anisotropic macroturbulence included and therefore is less suited for a detailed analysis of individual stars. It is suited for statistical investigation of a large sample of stars.

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Section: Rotational Broadeningmentioning

confidence: 99%

Section: Other Broadening Mechanismsmentioning

confidence: 99%

Section: Cut-off Frequencymentioning

confidence: 99%

Section: Observational Constraintsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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