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

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angular Velocity, Bessel Functions, Fourier Transformation, Line Shape, Stellar Rotation, Stellar Spectra, Doppler Effect, Linear Transformations, Spectral Line Width, Spectrum Analysis, Velocity Measurement

Scientific paper

A method for analyzing line profiles by means of a transform using Bessel functions is described. This yields the stellar rotational velocity to an accuracy of about + or - 1 km/s for rotational velocities greater than about 5 km/s, provided that rotation is the major source of line broadening. The theory of the method is a special case of a general theory of linear transforms in data analysis, which is outlined.

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