awblain
No such things as a "natural frame"
Discussion of moon tides is obfuscation. These are due to an eliptic orbit, ie the moon does not face the exact same side to the earth at all times and the tides due to the sun.
Neither of these take away from the explanation.
I'll give you that about the L1 point. I was being simplistic.
In an inertial frame the zero g point is a little further out than L1.