Contributed by Elwood Wyatt
Elwood Wyatt, Electrical engineer grounded in science.
It is slowly moving away from Earth in its orbit due to conservation of angular momentum to the the friction of the tidal bulges is causes on Earth, while the Earth slows down.
Eventually, the Earth will be tidally locked with the moon, and that separation will halt.
Earth and the moon will then remain like then until such time as they are perturbed by other bodies, or the Suns evolution will affect them. Depending on how that progresses, moon and Earth will likely burn up or spiral into the sun when the Sun’s atmosphere extends out that far.