I saw something in the sky over Tehran in 1976.

As a teenager, I was just 16 when this happened, in Tehran I had exceptional freedom.  I roamed the streets after hours many, many times.  My parents put me to bed around 10:00 PM and around 11:00 PM I took out of my room, down the wall and out on to the kuche to meet up with some friends.
After a couple of hours of, eh, recreation I headed home.
I hopped onto the wall that surrounded my home, from there up to my balcony and just before I opened the door to my room I heard the roar of afterburners overhead.  I looked up and saw an F-4 full throttle screaming across the sky above me.  
Thinking war was about to happen, I hunkered down, but continued to watch as this jet fruitlessly tried to follow a darting light in the sky.  For the next 5 minutes or so I watched a light bounce and dart, like a pinball, around the sky while the Phantom doggedly tried to pursue.  From east to west, north to south they played a game of tag.  On afterburner, off afterburner, the plane was way more interesting to me than than its target.  
The last view I had of the object it was chasing was when something split off from the light and dropped down, in the direction of the airport.  The F-4 hit  the gas, full afterburner, in that direction.  
After a couple of minutes of silence, I gently opened the balcony door and crept back into my room hoping my parents were still asleep.  That's the story....