If RE has no models of the solar system or of the sun-earth-moon system, how is it that RE can predict exactly when and where an eclipse is viewable for any point on earth? If if you say it's just patterns, then why can't FE pattern predict exactly when and where an eclipse is viewable for any point on earth?

RE cannot predict "exactly when and where an eclipse is viewable for any point on earth". The Saros Cycle is used, not any n-body problems.

NASA Eclipse Website

https://eclipse.gsfc.nasa.gov From Resources -> Eclipses and the Saros we read a description of the Saros Cycle:

“ The periodicity and recurrence of eclipses is governed by the Saros cycle, a period of approximately 6,585.3 days (18 years 11 days 8 hours). It was known to the Chaldeans as a period when lunar eclipses seem to repeat themselves, but the cycle is applicable to solar eclipses as well. ”

Feel free to count how many times the Three Body Problem is mentioned on NASA's eclipse website.

Google Search Term: "saros" site:https://eclipse.gsfc.nasa.gov

No. of Results: 13,700

Google Search Term: "three body" site:https://eclipse.gsfc.nasa.gov

No. of Results: 2 (duplicate text)

“ The distance of apogee does not vary by much month to month although the value of perigee can change quite a bit. Minimum vs. maximum apogee is a 0.6% spread and minimum vs. maximum perigee is a 3.9% spread. If Newton couldn't solve the three-body problem I certainly can't ”

Three Body and n-Body Solutions, the mathematical simulation of the Solar System using Newton's Laws, are

**not used**.