I'm new to blackbody radiation and I have been struggling with the following question:
The dominant wavelength of light from the sun is 510nm. Estimate the equilibrium temperature of the earth.
I'm not looking for any sort of full solution, just a suggestion for a starting point, and possibly sources which would be useful in working through this question. I currently have notes in front of me on; modes in a cavity, the Rayleigh-Jeans formula, the ultraviolet catastrophe, Planck's solution to the blackbody problem, and wein's displacement law. I am having a hard time understanding the derivations for the equations involved in these topics and how the topics and equations are related to eachother. Any guidance on any of the above would be much appreciated as i dont have a large amount of time left to attempt this question.