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On the Effective Temperatures of Extended Photospheres

Published online by Cambridge University Press:  24 October 2008

S. Chandrasekhar
S. Chandrasekhar
Affiliation:
Trinity College
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Extract

For material stratified in parallel planes in local thermodynamical equilibrium we have Milne's well-known result that

where πF is the constant net integrated flux of radiation, τ is the optical depth and B is the “ergiebigkeit” which is related to the temperature T by the relation

σ being the Stefan-Boltzmann constant. If we define the effective temperature by the relation

we have from (1)

where T1 is the temperature ar τ = 1. In this note we establish a similar result for extended photospheres where the curvature of the outer layers is properly taken into account.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 3 , July 1935 , pp. 390 - 393
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

page 390 note * Kosirev, N. A., Monthly Notices Roy. Astr. Soc., 94 (1934), 430CrossRefGoogle Scholar; S. Chandrasekhar, ibid. 94 (1934), 444.

page 393 note * For the cases n = 3 and 2, I (p) can be evaluated, and the explicit expressions have already been given in the author's earlier paper (loc. cit.).