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Radial Oscillations of Stellar Models: Density Distributions which Lead to Three-term Recurrence Relations

Published online by Cambridge University Press:  25 April 2016

J. O. Murphy  and
A. C. Smith
J. O. Murphy
Affiliation:
Department of Mathematics, Monash University, Melbourne
A. C. Smith
Affiliation:
Department of Mathematics, Monash University, Melbourne
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Extract

In an early paper Sterne investigated the pulsational properties of three stellar models with specified density distributions. He assumed a solution for the relative amplitude of the displacement to be of the form and on substitution into Eddington’s equation for small radial adiabatic oscillations of a star obtained a two-term recurrence relation to solve for the an in the case of each model.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 1 , Issue 7 , April 1970 , pp. 328 - 329
Copyright
Copyright © Astronomical Society of Australia 1970

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References

1 Steme, T. E., MNRAS, 97, 582 (1937).Google Scholar
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3 Van der Borght, R., Proc. ASA, 1, 325 (1970).Google Scholar
4 Alexander, M. H., Phys. Rev., 178, 34 (1969).Google Scholar