Population I pulsating stars. IV - Period-radius and period-gravity relations

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Stellar Gravitation, Stellar Oscillations, Stellar Physics, Variable Stars, Cepheid Variables, Periodic Variations, Stellar Color, Stellar Luminosity, Stellar Temperature

Scientific paper

The radii R and surface gravities g of Population I pulsating stars (89 Delta Scuti-variables and 155 classical cepheids) have been investigated. Semi-empirical period-radius (P-R) and period-gravity (P-g) relations are obtained. There is a good agreement both between the P-R relations and between the P-g relations for Delta Scuti-stars and for classical cepheids, but a 'gap' exists between the two types of variables. From models of Delta Scuti-stars, theoretical P-R and P-g relations for the four lowest modes of radial pulsations are obtained, in a good agreement with the corresponding semi-empirical relations. There is an excellent agreement between the theoretical and semi-empirical period ratios of radial pulsations as derived from the P-R and P-g relations for Delta Scuti-stars.

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