Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997azh....74..720f&link_type=abstract
Astronomicheskij Zhurnal, vol. 74, p. 720
Astronomy and Astrophysics
Astronomy
2
Cepheid Variables, Stellar Oscillations, Hydrodynamic Equations, Stellar Models, Light Curve, Stellar Envelopes, Stellar Temperature, Chemical Composition, Fourier Analysis
Scientific paper
A grid of hydrodynamic limit-cycle models is computed for pulsating BL Her variables with masses of 0.55, 0.6, and 0.65 solar mass, luminosities in the range 106-169 solar luminosities, and effective temperatures in the range 5500-7000 K. The OP tables are used to compute the opacity for the hydrogen and helium mass fractions X = 0.7 and Y = 0.299. Irrespective of the stellar mass, the pulsation instability in the first overtone is typical of stars with pulsation periods less than 1 d, while the radial pulsations for greater than 1 d are attributable to the instability of the fundamental mode. Approximation formulas are derived which relate the pulsation constant to the mass-to-radius ratio (M/R) of the star. It is shown that alternating pulsations with variable amplitude may arise from the 2Pi0 = 3Pi1 resonance between the fundamental mode and the first overtone at certain mass-to-radius ratios.
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