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Population I pulsating stars

IV. Period-radius and period-gravity relations

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Abstract

The radiiR and surface gravitiesg 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 for Delta Scuti-stars (for the four lowest modes of radial pulsations) and for classical cepheids. For Delta Scuti-stars, the uncertainties of radius and gravity estimations calculated from theP-R andP-g relations for different modes, are evaluated. There is a good agreement both between theP-R relations and between theP-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, theoreticalP-R andP-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 theP-R andP-g relations for Delta Scuti-stars. It is not necessary to take into account the colours (in addition to the periods), in order to estimate the radii and gravities of the variables under study.

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Authors and Affiliations

  1. Department of Astronomy, University of Sofia, Sofia, Bulgaria

    TS. G. Tsvetkov

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  1. TS. G. Tsvetkov
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Tsvetkov, T.G. Population I pulsating stars. Astrophys Space Sci 150, 357–378 (1988). https://doi.org/10.1007/BF00641730

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