Observational studies of Cepheids. VI - Period-radius relations

Statistics – Computation

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Cepheid Variables, Radii, Stellar Luminosity, Stellar Oscillations, Stellar Spectrophotometry, Computational Astrophysics, Star Clusters, Stellar Temperature

Scientific paper

Using the visual surface brightness technique, the radii of 63 classical Cepheids covering a period range of three to 45 days have been determined. The resulting period-radius relation is in reasonable agreement with the theoretical period-radius relation for Cepheids. After reviewing all of the modern Baade-Wesselink type solutions, it is found that they bracket the theoretical period-radius relation. These results cast doubt on the validity of the beat/bump period-radius relation and suggest that the distance and/or temperature scales for classical Cepheids may need adjustment. A reliable period-radius relation is still not at hand, but improvements have been made which appear to be converging toward a confident relation.

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