Yeah, nice article with a lot of great points and references. And I really like how you've used time, distance and angle to define some things about these observations to do with not only AE but also G1. I really like that.
I gave some of that a go a while back here
Anyway, I'm on page 20 and having a break because you mess up with time and angle/circle. You see, one rotation of Earth for one Earth day of 24 hrs isn't 360 deg but about 361 deg. Folk overlook that. That just messes with their equations afterwards. That's why the ancients used the stars and decans, yes? 360 deg there...
I'll finish the rest later, but mate, you sure have put some great effort into the article. Great stuff!