I'm not willing to go over the whole thing. But here is my first guess at what he is doing.
He's doing something like those who produce pyramid numbers do. Messing around with a set ot data points and getting something to fit to them.
He only has to fit to 4 numbers since he uses different equations for the inner and outer soloar system. I suspect that one way to debunk this would be to find some other numbers and make this kind of thing happen with them.
How the heck important is it to spend the time on this. He's left out how he developed the numbers which is annoying. He also is very careless in his use of symbols --- note "pi" here is a variable not the "real" pi. Geez.
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