That is correct if you want to FALSELY assume that the total angular momentum of the moon is only its orbit about the baracenter (common center of mass) but not a very reasonable POV because it ignores the fact that the moon is actually orbiting the sun, not the Earth or their common center of mass.
If the Earth were to explode and scatter into a zillion different widely separated pieces, the orbit of the moon about the sun would only very slightly change (not have the tiny "wobble" it current does)*. The moon would continue to spin about its own axis ~13 full rotation in the ~365 day trip around the sun.
This is the same point cluelusshusbund has been making with his "released tennis ball" continuing to spin around its axis. Your POV is a very provincial Earth based one. If you lived on Mars you would see the Earth as spinning on its own axis ~365 times and the moon spinning on its own axis ~13 times each Earth (or moon) year.
As I tried to get you to understand in prior post all you need to do to see how strange and provincial your POV is, is to imagine the earth spin slowing. Take it in "baby steps" if you need to: down to a 100 spin rotations/per year, Then only 50 rotations / year, then only ~13 rotations /years (now with the same face always turned to the moon and a bridge built between them)
I again ask why is O spinning but o is not? (Referring to my prior post with the "typed drawings.")
You are totally inconsistent to claim one is spinning about its own axis and the other is not just because their spin rates different in magnitude.
Consider an even slower spinning Earth, say 10 rotations / year. Then the moon is spinning faster than the Earth is about its own axis.
The Earth could continuously lower its spin rate - Do you say that at 14 rotations/ per year it is spinning about it own axis but at ~13 / year it is not?
What principle are you using to make this arbitrary cut off? Do you not realize that at 10 rotations / year the moon is spinning about its own axis faster than the Earth is?
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* Express the Earth moon separation in Astronomical units (AU). You will see that adding that tiny fraction of an AU to 1.0 (when moon is most distance from the sun) and subtracting it from 1.0 (when the moon is closest to the sun) makes a "peak to peak" wobble in the moon's elliptical orbit about the sun much less than 1%!
Only due to their provincial Earth based POV do people think that the moon orbit the Earth. The more reasonable POV is that the Moon spins 360 degrees on its own axis ~13 times during its nearly perfect ellipse about the sun. The moon would have essentially the same orbit about the sun, if there were no Earth, - still a slightly less disturbed ellipse, with Jupiter being the main perturbations to the ellipse.)
You are still in the mindset that the Earth is the center of the universe and unable to take a more cosmic POV. Too provincial your POV! (and also falsely ignoring fact the moon orbits the sun!)
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