In Stellar Interiors, Hansen, Kawaler, and Trimble go through a similar derivation without neglecting multiplicative constants, and arrived at: T eff = ( 2600 K ) μ μ 13 / 51 ( M M ⊙ ⊙ ) 7 / 51 ( L L ⊙ ⊙ ) 1 / 102 where μ μ is the molecular weight per particle. The authors note that the coefficient of 2600K is too low—it should be around 4000K—but this equation nevertheless shows that temperature is nearly independent of luminosity.