The distribution law of stellarp-modes |
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| Authors: | J Perdang |
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| Institution: | (1) Institute of Astronomy, Cambridge, England;(2) Present address: Institut d'Astrophysique, Cointe-Ougrée, Belgium |
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| Abstract: | We show that the overall densityg( ) of asymptotic acoustic frequencies of a star obeys a Weyl lawg() 
D–1, whereD is the dimensionality of the oscillating stellar configuration. For realistic stars with a finite non-zero surface sound speed,D is equal to the actual dimensionality of the star,D=3. For formal models with a vanishing sound velocity at the surface, heuristic arguments lead to a dimensionality parameterD=4.5. The empirical frequencies of Eddington's standard model are found to be consistent with the latter distribution, with reasonable agreement already occurring in the low-frequency range >
i
 2× fundamental radial mode. We argue that real stars obey this 3.5-power law in some finite frequency interval
i
<<
f
,
f
being a very high frequency critically depending on the surface sound velocity, while the full asymptotic law, withD=3, holds for >
f
. |
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| Keywords: | |
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