Search for Evolutionary Changes in the Periods of Cepheids: V1033 Cyg, a Classical Cepheid at the First Crossing of the Instability Strip

Abstract
For the classical Cepheid V1033 Cyg we have constructed an OC diagram spanning a time interval of 117 years. The OC diagram has the shape of a parabola, which has made it possible to determine for the first time the quadratic light elements and to calculate the rate of evolutionary increase in the period dP/dt = 18.19 (+/- 0.08) syr(-1), in agreement with the results of theoretical calculations for the first crossing of the instability strip. Thus, V1033 Cyg is the second actually observed Cepheid (after UMi) that crosses the instability strip for the first time.
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Keywords
Cepheids, period variability, stellar evolution
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