Classical Cepheid pulsations

Details Classical Cepheid pulsations Classical Cepheid pulsations

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990nyasa.617...37m&link_type=abstract

(Nonlinear astrophysical fluid dynamics; Proceedings of the 5th Florida Workshop in Nonlinear Astronomy, Gainesville, FL, Oct. 5

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Cepheid Variables, Stellar Evolution, Stellar Models, Stellar Oscillations, Computational Astrophysics, Radial Velocity, Stellar Luminosity, Stellar Mass, Stellar Radiation

Scientific paper

Theoretical models of classical Cepheid variable stars are examined by means of test computations focusing on (1) the systematic period change known as the Hertzsprung or bump progression and (2) the hypothesis (Simon and Schmidt, 1976) that (1) is due to a 2:1 resonance between the fundamental mode and the second overtone. One-parameter families or sequences of models are calculated which represent 'snapshots' of pulsational behavior at different points on the Cepheid evolutionary tracks, and a remarkable uniformity is found when the Fourier coefficients for sequences with moderate luminosity/mass ratios are plottted against the linear period ratio. The complete disappearance of this uniformity when the coefficients are plotted against the pulsation period itself is shown to be consistent with (2). The description of these phenomena with amplitude equations is explained, and expressions for estimating the width of the instability strip are derived.

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