Hostname: page-component-7479d7b7d-rvbq7 Total loading time: 0 Render date: 2024-07-11T02:25:01.347Z Has data issue: false hasContentIssue false

The Critical Frequency in the Stellar Pulsation Theory

Published online by Cambridge University Press:  12 April 2016

Mine Takeuti*
Affiliation:
Astronomical Institute, Tôhoku University, Sendai 980, Japan

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The standing oscillation in an isothermal semi-infinite plane-parallel atmosphere has a critical frequency. The significance of critical frequency in the stellar pulsation is discussed briefly. The critical period is calculated for the cepheid instability strip. A star having relatively large radius compared with the mass should be examined by the criterion. The pulsational instability is reduced by the linear running wave.

Type
V. Cepheids of Populations I and II
Copyright
Copyright © Reidel 1980

References

Baker, N. and Kippenhahn, R.: 1962, Z. Astrophys. 54, pp.114151.Google Scholar
Baker, N. and Kippenhahn, R.: 1965, Astrophys.J. 142, pp.868889.CrossRefGoogle Scholar
Kamijo, F.: 1962, Publ.Astron.Soc.Japan 14, pp.271310.Google Scholar
Petersen, J.O.: 1979, Astron.Astrophys. 80, pp.5360.Google Scholar
Rosseland, S.: 1949, “The Pulsation Theory of Variable Stars”, Oxford.Google Scholar
Schatzman, E.: 1956, Ann.Astrophys. 19, pp.5170.Google Scholar
Simon, R.L.: 1957, Université de Liège, Institut d’Astrophysique Collection in 8-vo, No. 389.Google Scholar
Simon, N.R., Cox, A.N., and Hodson, S.W.: 1980, Astrophys.J. 237, pp.550557.CrossRefGoogle Scholar
Takeuti, M.: 1969, Astrophys.Space Science 3, pp.219228.CrossRefGoogle Scholar
Takeuti, M.: 1979, unpublished.Google Scholar
Takeuti, M. and Aikawa, T.: 1980, Mon.Not.Roy.Astron.Soc. 192, in press.CrossRefGoogle Scholar
Takeuti, M. and Petersen, J.O.: 1980, in preparation.Google Scholar
Unno, W.: 1965, Publ.Astron.Soc.Japan 17, pp.205230.Google Scholar