Department of Physics and Astronomy: Publications and Other Research

 

Date of this Version

3-23-1972

Document Type

Article

Citation

Astron. & Astrophys. 21,39-44 (1972).

Comments

Copyright 1972 European Southern Observatory

Abstract

Second-order anharmonic pulsational amplitudes are investigated for a variety of polytropic models. It is found that the qualitative behavior of these amplitudes is decisively affected by the existence of resonances - this remaining true even when a given model is itself not in a resonant situation. An empirical asymptotic formula is given for the normal mode spectra of polytropes. The question of resonances is discussed for real stars, and a suggestion made for classifying Cepheid-type pulsators on the basis of resonant properties. Finally, invalid numerical results from an earlier work (Simon, 1971) are corrected in the Appendix.

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