lunar orbit precession problem

> All objects which orbit the Earth experience orbital
> precession (aka nodal regression) as a result of the
> non-symmetry of the Earth's gravitational field.
>

Charles, I was surprised by this and looked into it some more, but
you're absolutely right. I had thought all those effects had much longer
periods - 26,000 years or whatever. But the lunar precession (caused by
interaction with sun and Earth as you said) has a period of only 18.6
years - there's a corresponding minor 18.6 year motion in the Earth's
rotation axis (the "nutation" period).

So you could use a High Earth Orbit that had some correspondence to the
Moon's orbit for a year or two, but after that they would start to get
out of sync...

I do suspect there's some way to do this with a resonance, taking all
the gravitational effects into account. But it's definitely not as
simple a problem as I had thought...

Arthur