Need help with using solve

Sergio

2012 11 5

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Would appreciate any help. I'm trying to calculate the intersection between to curves. This are two planck function curves, one for earth and the other for the sun. This would represent the wavelength at wich the incoming solar radiance at the top of the atmosphere is equal to the outgoing terrestrial radiation.

clc
clear all
syms lambda positive
syms B positive
[lambda,B]=solve('B=(1.19268e-16/(lambda^5))/(exp(0.014414/(lambda*5800))-1)','B=(1.19268e-16/(lambda^5))/(exp(0.014414/(lambda*255))-1)');

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Jonathan Epperl 2012-11-5

在 MATLAB Online 中打开

Hey, your code runs for me without error and returns

lambda =
3.9200466007018968462719148716546e-39
B =
25878.467658733250429897261305422

Now this is a tiny wavelength, but then again, the solar radiance might be at a very high frequency.

Anyway, please elaborate on what is going wrong.

Sergio 2012-11-5

Hi Jonathan,

Thanks for running the code and commenting. I ran the code again after I saw your comment and it gave the me same output you pasted. Strange... Anyway, I'm not sure that is the right answer. I'll have to double check what I'm trying to do. I checked on the literature and the value should be something like 5.7 micrometers. Thanks again!

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