UAP no contrail or visible propulsion playing with commercial aircraft

I am a government employee currently and prior service Army service member. I love and work on Fort Leavenworth. I was walking out my front door on fort Leavenworth to start my vehicle at 7:04-7:05 and was enjoying the beautiful clear sky. I was watching a commercial airline with a perfect contrail fly across the sky when I noticed that a fast approaching pure white tic tac shaped object with NO contrail, wings, or visible means of propulsion move very swiftly underneath the plane and parallel it /move with it for about 15 seconds then it zoomed ahead and above the commercial airline (still moving parallel with it once above….then move back to the underneath side of the aircraft and after about a minute it zoomed off and away from the commercial aircrafts flight path. UAP was very clear and then as it zoomed off it faded/disappeared rapidly. Like a lightbulb going out. Definitely wasn’t a drone or satellite. I am familiar with both. The object had no lights, no contrails left, no wings, best way to describe it was a pure white tic tac made no sound, no color, nothing emitting from it. Just a white tic tac. This experience only lasted 1-2 minutes and I went back inside for my daughter to take her to daycare and the clock on my kitchen read 7:14….before I started my car the time was 7:04 on my oven. There is no way that 10 minutes elapsed in this time. It takes less than a minute to walk to and start my vehicle and I definitely wasn’t standing in the road for 10 minutes watching it. I was so baffled by what I was seeing that I didn’t even think to get my phone to take a picture or video it…which is disappointing since I am very certain of what I saw.