I want to write a 3500 - 4000 word research paper on the best angle to place a solar panel to optimize solar collection throughout the year. I was thinking of using planes in 3D and probability distribution for the cloud amount for different times of the year. There has to be a primary focus on math though. So my question is, is there enough math involved in this topic? If so, what math is involved? Thanks! (BTW, this is my first post, so hope this goes well).