Amplitude equations for nonadiabatic nonlinear stellar pulsators. II - Application to realistic resonant Cepheid models

Details Amplitude equations for nonadiabatic nonlinear stellar pulsators. II - Application to realistic resonant Cepheid models Amplitude equations for nonadiabatic nonlinear stellar pulsators. II - Application to realistic resonant Cepheid models

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...296..514k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 296, Sept. 15, 1985, p. 514-528. CONACYT-supported research.

Other

44

Cepheid Variables, Nonadiabatic Conditions, Nonlinear Equations, Pulsars, Stellar Models, Stellar Oscillations, Amplitudes, Hydrodynamics, Perturbation Theory, Phase Shift, Velocity Distribution

Scientific paper

The nonadiabatic nonlinear perturbation formalism of Buchler and Goupil is applied to realistic bump Cepheid models which exhibit a resonance of the type Omega-2 approximately 2 Omega-0. Amplitude saturation can arise as a result of the balance between the linear driving/damping on one hand and the quadratic coupling terms on the other. Among other things, the formalism can reproduce the Hertzsprung progression of the bump and gives velocity amplitudes in good agreement with those obtained with numerical hydrocodes, but at a sharply reduced cost. In addition, the formalism yields quantities which can be directly compared with those obtained with a Fourier analysis of the observational velocity curves. Observational data can thus be used directly to set constraints on the stellar models. Finally, and more important, the formalism yields new insight into the pulsation mechanism.

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