Lr/Ls = (Rr/Rs)^2 (Tr/Ts)^4 where r is Rigel, s is Sun.
64000 = (Rr/Rs)(Rr/Rs)(3)^4
sqrt(64000/81)=(Rr/Rs)
sqrt(1000)(8/9)=(Rr/Rs)
28.11 = (Rr/Rs)Can anyone help me understand how to find the radius of a star using luminosity and temperature ratios?starryskin's answer is spot on with the formula!
However, Rigel's temperature is only 11,000K which is more appropriate of a B8Ia star while the bolometric luminosity climbs to 66,000 solar. So the correct radius should be around 70 solar radii (70.93 here). 3x that of the sun would be like a B3 star.
http://en.wikipedia.org/wiki/Rigel
http://www.astro.illinois.edu/~jkaler/so鈥?/a>
Clear skies!
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