[TML] Habitable Zones
Tim Rattray
tim.rattray at gmail.com
Sat Nov 10 03:28:56 MST 2007
Rats. That's supposed to be...
Luminosity = 4Pi times R squared times Sigma times Temp (in K) to
the fourth power
where Sigma is the Stefan-Boltzmann constant (which equals 5.67 times
10 to the power of minus 8 Watts per square meter per degree K), and
Luminosity is the fraction (or multiple) of the suns luminosity.
So solve for R...
R = SQRT(Lum /(4Pi x Sigma x Temp (in K) to the fourth power))
R(inner) is this equation with Temp = 373K, and
R(outer) is this equation with Temp = 273K.
We know Lum (don't we?) and we know Pi and we know Sigma and we know
the Temp we want. R is in meters, so we need to convert to AU, but
that's straight forward.
Hope that helps you Leonard.
Regards
Tim
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