The effects of 3:1 resonances in stellar pulsations

Details The effects of 3:1 resonances in stellar pulsations The effects of 3:1 resonances in stellar pulsations

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...341..997m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 341, June 15, 1989, p. 997-1003.

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Stellar Luminosity, Stellar Mass, Stellar Oscillations, Variable Stars, Hydrodynamic Equations, Main Sequence Stars, Resonant Vibration

Scientific paper

The effects of a 3:1 resonance are studied and compared to those of a 2:1 resonance. When the growth rate of the higher frequency mode is negative it is shown that a 3:1 resonance affects the pulsation in a very similar fashion to a 2:1 resonance. In fact, it may be very difficult to discriminate in observational data between these two types of coupling. On the other hand, when the higher frequency mode is linearly unstable a 3:1 resonance, contrary to a 2:1 case, is unable to saturate the instability in the absence of nonresonant coupling terms. Astrophysical applications are discussed.

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