A Public Event showed up in the Anchor of Light on the Moon at 9:07 PM EST and it ended at 9:08 PM EST.
The event was to destroy a servitor, and so I started doing that as it was just me. After I got it to about 3/4 health, it just telported a way to the 3rd checkpoint (even thought it didn't even get to the first), and then kept moving to the last checkpoint.
Only received 1 star due to it bugging out, and the event only lasting under a minute.
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There is a known issue with kill target public event mobs teleporting great distances, if they are knocked too far off their patrol path, or held up in one area for too long. Bungie has stated they are working a fix. Until then, be sure to let the target move down his path a little as you fight, and don't push him too far off his path.