I especially like that the poster specified, The plane made 3 counterclockwise circles total and hasn't been back since. This actually made me less worried because if it were a real emergency or something was wrong, more fighters would have arrived by then and they would not have let the plane circle that low and that close to the city three times. Anyway, I have no idea why they would do that, but it was either AF1 or a 747 painted to look like it. I looked for planes or helicopters that could have been filming and didn't see any, though I see someone else has posted that it was a photo shoot.
RE my post 48 above — I need to correct, the poster was NOT a New Yorker, but I think was in New Jersey. My goof!