W Lyrae: variability of the pulsation cycles of the Mira-type star.

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Mira Stars: Stellar Oscillations, Mira Stars: Light Curves, Mira Stars: Periods

Scientific paper

W Lyr was studied from 6471 obervations of the AFOEV database. Approximation of the light curve by a third-order trigonometric polynomial gives a mean period P = 197.150d±0.004d. The correlation analysis of 34 characteristics of 83 individual cycles was carried out. The results are compared which were obtained by using different methods. The "asymptotic parabola" fit is characterized by better statistical error estimate of the moment of extremum than the "running parabola" fit, but by the worse error estimate for the brightness at extremum. It is preferable for the approximation of the extrema of long-period variable stars, for the data with significant statistical scatter and with gaps in the observations. Variations of the period and of the brightness at maximum and minimum are detected with time scales 47 and 25 years.

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