A method to determine projected rotational velocities with application to Sirius and VEGA

Astronomy and Astrophysics – Astronomy

Scientific paper

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Angular Velocity, Stellar Rotation, Stellar Spectra, Fourier Transformation, High Resolution, Line Spectra, Oao 3, Spaceborne Astronomy, Spectral Line Width

Scientific paper

A method based on the Fourier transform is proposed to derive v sin i from high-resolution spectra, with the theoretical profile at the star's location assumed to be known. This method yields the parameter b (the product of v sin i and wavelength divided by the speed of light) by straightforward division between the L2 norms of the classical rotation profile A(x) and of a rotation profile B(t), defined as 1/b A(t/b), where x is a reduced coordinate on the stellar disk and t is a Doppler wavelength shift due to rotation. The L2 norm of B(t) is obtained in Fourier space from the observed profile and from a rotation-free theoretical profile. The method is applied to determine v sin i for Sirius (A1 V) and Vega (A0 V) from Copernicus spectra, resulting in 11 km/s for Sirius and 18 km/s for Vega, to within plus or minus 2 km/s.

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