Mid 1960's in Jefferson City Mo silver sphere descended and rapidly ascended upon approach of a military jet

I think I was about 10 years old at the time, playing in the backyard of our home.  I was throwing a football straight up in the air and catching it as it came back down when I noticed the object in the sky.  It was small at first, about the size of a star but I remember thinking it couldn't be since it was nearly noon and directly overhead.  It got bigger and bigger and I realised it was coming down.  It made no sound at all.  At one point it just seamed to hover above me, and apeared to be a small silver ball about the size of a dime held at arms length.  It was hard to tell how high it was, my best guess is that it was somewhere between 2,000 - 5,000 feet high.  I continued to stare at it, wondering what it could be.  Then I remember feeling a strange sensation as if my whole body shifted an inch to the right in a matter of an instant as I continued to stare at the object.  A few seconds after that point I noticed a jet heading towards the object.  Thinking back now on the situation, I realise that it may have been a military jet coming from the direction of the Whiteman Air Force base, just west of Jefferson City.  As the jet got closer to it, the object appeared to rapidly ascend straight up until it was no longer visible.  The jet that had been coming towards the object turned around and flew back in the direction it came from.  I remember going into the house and being scolded by my mom for not answering her calls for me, and I thinking she was crazy since I was just outside in the backyard and did not hear her calling my name.
Date of sighting is approximate.  PD