Saw a light in the sky move toward, follow and leave an Airplane that was crossing over head.

Right at the above stated time, I noticed a plane flying over head heading South, south east. See flight tracker info for owner and flight information. This whit light which was about half as dim as the planes lights, and it flashed at a much slower rate. Would guess it took 1 sec to flash each time. It approached the plane from the NW closing in on the plane about at a 45 degree angle. I was thinking it was just going to cross. Then it abruptly turned to parallel the plane on the west side for 1 flash (1 second). The next time it lit up it was heading away from the plane also at a 45 degree angle towards the SW. Also 1 flash which took about 1 second. And as the plane flew away,. this light shot across half the sky heading east flashing twice with the same interval as before. It had to have covered 50 to 60 miles across the sky in 2 seconds. Every turn it took, I saw no arc in the light at all. No trail, No noise. I don't remember hearing the plane either.
Quickly brought up the Flight Tracker app that I use. Found out the plane was a Cessna Citation flying at 15,000 feet descending into Orlando Executive Airport. I have attached the screen shot showing the info of the plane and flight path.