It does. Not for the observer on the moon, but on the earth. Hafele-Keating experiment: https://en.m.wikipedia.org/wiki/Hafele–Keating_experiment https://en.m

It does. Not for the observer on the moon, but on the earth. Hafele-Keating experiment: https://en.m.wikipedia.org/wiki/Hafele–Keating_experiment https://en.m.wikipedia.org/wiki/Hafele–Keating_experiment