Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-24T16:03:15.297Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Effective Temperatures of Extended Photospheres

Published online by Cambridge University Press:  24 October 2008

S. Chandrasekhar
S. Chandrasekhar
Affiliation:
Trinity College
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.).