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Physics — Stellar Luminosity & Magnitude

Luminosity, the distance modulus and the mass–luminosity relation.

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L = 4\pi R^2 \sigma T^4

m - M = 5\log_{10}\frac{d}{10\,\text{pc}}

\frac{L}{L_\odot} = \left(\frac{M}{M_\odot}\right)^{3.5}

F = \frac{L}{4\pi d^2}