I live around 32°N latitude, and I am trying to figure out the optimal positioning for six 2-axis solar arrays so they don't interfere with each other when the sun is over 5° above the horizon. The arrays are roughly 8' square (2.4m) on a 5' (1.5m) stand, which means when the panels are nearly vertical at the beginning and ending of the day, they should cast a shadow from about 11' (3.3m) high in the air. To keep costs down I'd like to arrange these in a straight line with the intent to add another 6 arrays in the future, but as close together as possible as well. The straight line need not be along a cardinal direction, if there's better advantage to make the line go NE-SW or SE-NW. I have room to support this either way.
It seems there should be a relatively straightforward formula for figuring out how close and which orientation the arrays can be to each other and still get maximum direct sunlight in winter and summer, but frankly I don't even know where to start. Can someone here help me with this?