Abstract
Three different oscillatory models of adiabatic stars are reinvestigated. These are the homogenous model, the inverse square model and the Roche model. The ratio between the amplitude of the oscillations and the distance from the center is developed in a power series. For physical conclusions to be drawn, it turns out to be crucial if the power series is divergent or convergent. Mathematical arguments are given which show that the power series are really divergent for all three models.
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References
Knopp, K.: 1956,Infinite Sequences and Series, Dover Publications.
Ritter, A.: 1979,Weidemanns Annalen 8, 172.
Rosseland, S.: 1964,The Pulsation Theory of Variable Stars, Dover.
Rudin, W.: 1964,Principles of Mathematical Analysis, McGraw-Hill.
Sterne, T. E.: 1937,Monthly Notices Roy. Astron. Soc. 97, 582.
Whittaker, E. T. and Watson, G. N.: 1927,Modern Analysis, Cambridge University Press.
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Knutsen, H. A comment on some oscillatory models of adiabatic stars. Astrophys Space Sci 82, 209–212 (1982). https://doi.org/10.1007/BF00651476
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DOI: https://doi.org/10.1007/BF00651476