Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...295..361v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 295, no. 2, p. 361-370
Astronomy and Astrophysics
Astrophysics
18
Astronomical Models, Beat Frequencies, Cepheid Variables, Harmonics, Modulation, Periodic Variations, Stellar Oscillations, Mathematical Models, Modes (Standing Waves), Nonlinear Systems, Radial Distribution, Resonance, Resonant Frequencies
Scientific paper
HR 7308 is the classical Cepheid with the shortest known period. The oscillation occurs in the second (or a higher) radial overtone and the amplitude of the oscillation varies almost periodically with a modulation period of about 800 oscillation periods. A beating between two closely spaced oscillation modes as an explanation for the variable amplitude has been ruled out on the basis of a theory linear in the amplitudes of the modes. We reconsider the beating hypothesis in a nonlinear framework. It is shown that a resonance between a radial mode that is linearly unstable and a low-degree, low-order p-mode that is linearly stable can produce periodic amplitude variations of the radial mode such as observed on HR 7308. The resonance can also lead to situations for which the periodic oscillation of the amplitude of the radial mode is damped. A possible connection with the Blazhko effect in RR Lyrae stars is discussed.
Hoolst Tim Van
Waelkens Christoffel
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