Where are Moon's Apogee and Perigee? Do they rotate too?
Where are Moon's Apogee and Perigee? Do they rotate too?

Yes they do rotate!
Apsidal precession is the rotation of the line of apses (line connecting apoapsis and periapsis and passing through the Earth). Lunar precession takes this line about nine years to rotate once around the Earth, referenced to the celestial sphere (the stars).

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