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Hi Bert,
Forget the background stars, in this instance they are irrelevant, just consider the two bodies in isolation, don't try to over complicate the simple dynamics of what is happening.
If we look at the Moon in total isolation and watched it rotate ounce on it's axis we would see all faces of the Moon. Consider from my example, what happened to the Moon during one orbit of the Earth. In that example the Moon rotated ounce on it's axis in the same period that it it takes to complete the orbit. But because it's orbital period is the same as it's rotational period, the Moon always presents, more or less, the same face to the Earth.
This is a simple concept that has nothing to do with background stars at all, just the two bodies involved.
Regards
Trevor
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