Tau Pegasi - A Fourier representation of line-profile variations

Astronomy and Astrophysics – Astrophysics

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Cepheid Variables, Dwarf Stars, Fourier Analysis, Line Spectra, Stellar Interiors, Stellar Oscillations, Helioseismology, Stellar Luminosity, Stellar Structure, Stellar Temperature

Scientific paper

The complex line-profile variations, probably caused by nonradial pulsations, in the spectrum of the rapidly rotating Delta Scuti star Tau Peg are analyzed with a novel 2D Fourier transform technique. It resolves the oscillations in temporal frequency nu and apparent azimuthal order m. The 2D Fourier spectrum resembles the (l,nu) diagrams generated for the sun. Advantages of the technique are (1) both frequency and mode of the oscillations are determined directly; (2) complex variations in the line profiles are resolved into individual modes; (3) modes of both high and low degree are resolved. For Tau Peg, we identify four apparent modes having absolute values of m of about 3, 7, 11, and 15. After correcting for rotation, most of the modes have frequencies of about 17 cycles/day. Assuming Teff of about 8000 K and L of about 40 solar luminosities, all of the modes fall within the range of frequencies theoretically predicted to be unstable.

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