Markjo has been involved with discussions about this before. My comment about the page was directed at him (after all, he was the one who posted it). I'm fairly sure he's aware that I have brought this up a few times.
That approximations are required is, in my opinion, a flaw in RET. It exposes the fact that current explanations do not reflect reality, because we have to cut corners and do some very dodgy stuff which has no relation to reality in order to predict the movements of the Sun, Moon and Earth, such as pretending the Earth and Moon are one body.