There’s nothing fancy to it. Moire patterns emerge from the intersection of large numbers of thin lines. You can create an animated Moire pattern yourself by creating any two sets of thin curves or lines, overlapping them, and then animating the position of one of them.
(Of course, the Moire pattern artifacts that we all know and hate come from the intersections of the lines in, say, a tie and the many thin scanlines that make up a television image.)
I think that you’ll find that using the Repeater or otherwise creating overlapping shape layers is an easy and fun way to experiment with this yourself.
I just made two copies of a star with several hundred points each and a thin (one-pixel) stroke, so I basically ended up with two disks made up of radiating lines. Then I animated one to move past the other.
Here’s a screen-grab of the result:

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Todd Kopriva, Adobe Systems Incorporated
putting the ‘T’ back in ‘RTFM’ : After Effects Help on the Web
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