Temperature based on colour index using Planck's law

[heavystray]

Hi, I'm trying to find temperature of stars using the stars' B-V magnitude by using the Planck law. However i do not know how to solve for T (assume other quantities are all given and determined first). Any idea how to do so? I already tried to do it but reach a dead end. Here I attached the Planck equation. h is Planck's constant, k is Boltzmann's constant, c is the speed of light,

 

[phyzguy]

It should be a simple matter to solve for T numerically. To do it right, you really should integrate λ over the bandpass of the filter.

 

[heavystray]

It should be a simple matter to solve for T numerically. To do it right, you really should integrate λ over the bandpass of the filter.

How do you integrate it tho? It'd be great if you can show step by step on how to do it, thanks for answering.

 

[phyzguy]

How do you integrate it tho? It'd be great if you can show step by step on how to do it, thanks for answering.

I would do that numerically as well. You can write some simple code in Mathematica, Matlab, or Python to do it. Do you know how to use any of those?

 

[heavystray]

I would do that numerically as well. You can write some simple code in Mathematica, Matlab, or Python to do it. Do you know how to use any of those?

hmmm no..but i think it's ok for now...i'll just solve it using graph, thanks!