On the effective temperatures of extended photospheres

Chandrasekhar, S. (1935) On the effective temperatures of extended photospheres Mathematical Proceedings of the Cambridge Philosophical Society, 31 (3). pp. 390-393. ISSN 0305-0041

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Related URL: http://dx.doi.org/10.1017/S0305004100077458


For material stratified in parallel planes in local thermodynamical equilibrium we have Milne's well-known result that B(τ)=½F(1+3/2τ), 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 B=σ/πT4, σ being the Stefan-Boltzmann constant. If we define the effective temperature by the relation πF=σT4e, we have from (1) T4e=0.8T41, 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.

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