I have just spent 10 days in south eastern Mallorca, in Cala Egos, which is between Cala D'or and Portopetro. On the 27th July at about 3am, I was sitting on our 6th floor hotel balcony,which faces approx south west, eating chocolate and looking at the stars. I became aware that directly opposite our hotel, maybe half a mile away there was a dull orange-illuminated ball shaped object which seemed to be slowly rotating. It's light, and the effect it created reminded me of those bio-luminescent squid things you see on the nature programs at the bottom of the sea. I would estimate that this object was hovering about 200 feet from the ground. I watched this object for approx 5 or 6 seconds, when it suddenly accelerated away in a north westerly direction. There was no gradual picking up of speed as a normal rotary or fixed wing aircraft would have to achieve, it just went.There was no sound from it, just complete silence. It flew towards a small range of low mountains which I estimated at the time to be about four or five miles away. It flew in a dead straight line and reached those mountains in approx FOUR SECONDS then disappeared into the distance. I did a quick bit of mental maths and realised it would have to have been travelling at about 3600 mph to cover four miles in four seconds !! I have since checked on Google earth, and the mountains are indeed about 4.2 miles from Cala Egos. I would be very interested to know if anyone else saw this, other holidaymakers etc,as I would love to know what I saw.