Double-mode Cepheid period ratios from linear and nonlinear theory

Details Double-mode Cepheid period ratios from linear and nonlinear theory Double-mode Cepheid period ratios from linear and nonlinear theory

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...220..996c&link_type=abstract

Astrophysical Journal, Part 1, vol. 220, Mar. 15, 1978, p. 996-1000. ERDA-sponsored research

Astronomy and Astrophysics

Astrophysics

12

Cepheid Variables, Stellar Luminosity, Stellar Mass, Stellar Models, Supergiant Stars, Coupled Modes, Fourier Analysis, Linear Systems, Nonlinear Systems, Radial Velocity

Scientific paper

In order to learn whether the periods of equilibrium stellar models, determined from linear nonadiabatic theory, are applicable to real stars, a nonlinear hydrodynamic calculation near its limit cycle has been analyzed for its periods. The model considered, with mass of 6.0 solar masses, effective temperature of 5888 K, and a luminosity of 2820 suns, and the composition X = 0.602, Z = 0.044, is slowly switching its pulsation mode from the fundamental (6.03 d) to the first overtone (4.39 d). Therefore the ratios of periods can be obtained at two epochs with differing mode-amplitude ratios and nonlinear coupling between the two principal modes. The first overtone to fundamental period ratio is found to agree with the linear theory value regardless of the stage of mode switching. It is concluded that the period ratios from linear theory are applicable to real radially finite-amplitude pulsating stars.

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