I should have mentioned before -
Extract your alternator rotor, place it in a vice with a thick washer on either side of the hub, and tighten it in place FIRMLY.
Take a strap wrench, or large-jawed (water pump) pliers and grasp the outer circumference of the rotor; attempt to turn it in both directions, on the hub.
My guess is, you might find it to be loose.
DO NOT RE-INSTALL! It is a time bomb waiting to ruin your day, week, month, or even YEAR if it takes out the crank and./or cases when it fails. It COULD (possibly) take YOU down with it, which could be beyond catastrophic, depending on your speed when it fails.
This malady is NOT readily apparent on a cursory inspection of the bare parts!