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Unformatted text preview: 9 Stellar Structure #2 George Gamow Ray Davis 2 The Plan Combine the parts from last time to calculate the Luminosity. Radiative transport Nuclear Reactions 3 One-Dimensional Radiative Transfer T+ T T A L = L / n = 1 This condition puts the lower box with the upper one. ( ) ( ) 4 4 3 3 3 Q is the net upward heat flux Expand the first term to 4 4 ( 1 ) is the distance for 1 (2) Combining 1 and 2 1 4 Q A T T T Q A T T dT Q A T l dl l l dT Q A T dl = + = = = = 4 Luminosity 3 2 3 4 2 3 4 3 1 4 1 L R 1 L R dT Q A T dl T T R GM T KR GM M KR R R G L M K = = = 0.39 cm 2 /g 5 Using and we plug-in the constants, the answer is L ~ 3x10 34 erg/s. The measured value is 4x10 33 erg/s. We are a bit lucky! However, it says were near the right track....
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- Spring '09