My physics is extremely rusty (I was bored to death back in school and had no practical application of the stuff to make it interesting and/or truly sink it.) Now, I have an application, and while I have a long way to go, it is pleasurable to be comprehending things as I go.(adsbygoogle = window.adsbygoogle || []).push({});

To a point, and here is where I ask for some help and confirmations. Namely, I need to find the effective (surface?) temperature of a star (presumably main sequence and not extraordinary in mass) based on its mass.

First, smash my face in if I miscombobulated the stefan-boltzmann law:

L = 4[itex]\pi[/itex]R[itex]^{2}[/itex][itex]\sigma[/itex]T[itex]^{4}_{eff}[/itex]

... to look for T[itex]_{eff}[/itex]: (and turning 4[itex]\pi[/itex]R[itex]^{2}[/itex] into A for now)

T[itex]_{eff}[/itex] = [itex]\sqrt[4]{L/A\sigma}[/itex]

No?

Walp, I've already plugged this into my code, and I'm getting absolutely absurd results for a near-solar-mass star: 4.23581197119e+23 (x10[itex]^{23}[/itex] for the noncoders out there) when I'm expecting to get roughly 5700-5800K. So I am forced to assume either that I flubbed my reconfiguring of S-BL or I am horribly misreading the S-B constant:

[itex]\sigma[/itex] = 5.670373(21)×10[itex]^{−8}[/itex]Jm[itex]^{−2}[/itex]s[itex]^{−1}[/itex]K[itex]^{−4}[/itex].

That's quite a unit... I'm almost certain I'm not reading it correctly. Tips?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Stefan-boltzmann solved for temperature?

**Physics Forums | Science Articles, Homework Help, Discussion**