Nonlinear RR Lyrae models with new Livermore opacities

Details Nonlinear RR Lyrae models with new Livermore opacities Nonlinear RR Lyrae models with new Livermore opacities

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.210..307g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 210, no. 1-2, p. 307-309 (IAU Colloquium 134)

Astronomy and Astrophysics

Astrophysics

3

Lyra Constellation, Nonlinearity, Opacity, Stellar Evolution, Stellar Models, Stellar Oscillations, Astrophysics, Harmonics, Hydrodynamics, Stellar Mass

Scientific paper

A. N. Cox recently showed that a 20% opacity decrease in the 20,000-30,000 K region as indicated by the new Livermore OPAL opacities reconciles the discrepancy between pulsation and evolution masses of double-mode RR Lyrae variables. Nonlinear hydrodynamic calculations were performed for RR Lyrae models of mass 0.75 solar mass, 51 solar luminosity, and Z = 0.0001 (Osterhoff II type) including this opacity decrease. The Stellingwerf periodic relaxation method was used to converge the models to a limit cycle, and the Floquet matrix eigenvalues calculated to search for a tendency of the fundamental mode to grow from the full-amplitude overtone solution, and the overtone mode to grow from the full-amplitude fundamental solution, thereby predicting double-mode behavior. Models of Teff is less than 7000 K with the opacity decrease have positive fundamental-mode growth rates in the overtone solution, in contrast to earlier results by Hodson and Cox (1982), and models with Teff is greater than 7000 have positive 1st overtone growth rates in the fundamental-mode solution, but double-mode behavior was not found.

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