Orange Ball UFO chased by F-4 military fighter jet with abrupt maneuvering by UFO and impossible speeds.

With my best friend from school, while in the side yard at his house, we heard loud sound of jet plane coming over trees in park across the street. In less than one second there was an F-4 fighter plane chasing a glowing orange ball about 20 feet in diameter, 75 to 80 feet in front of the F-4. They flew almost directly over our head at less than 200 feet.
The F-4 and the glowing orange object continued out over the adjacent interstate highway for a mile or so, toward the River de Peres. Before they got to the river, still at just above treetop height, the orange ball abruptly changed direction by approximately 90-degrees, and increased speed to the point that it was able to cross half the sky (60 degrees of angle) from left to right and achieve an altitude of 10 miles or more, in less a quarter second. The object then, just as abruptly, stopped dead in the sky, and it appeared to be taking a position so as to better observe the F-4 as it banked around looking for it. Or so it seemed to a 13-year-old’s imagination.
After the glowing orange object abruptly changed course, the F-4’s engines--previously very loud--suddenly became almost silent, and he banked right and left a couple of times as if he were looking for the object. He then continued for a couple of seconds, and made a wide sweeping turn over the River de Peres, and doubled-back over his previous path.
After a few seconds, the glowing orange spherical object sitting still in the sky shot away at incredible speed and was completely out of sight within an eighth of a second.
It has been many years since this occurred, and I just want to make sure that it gets reported. Back then it never occurred to me to report it; much less did I know whom I would report it to. I have discussed this with the other witness as recently as 14 years ago, and our recollections were very similar, but not in the level of detail as I have included, herein.
For the record, I believe there may be good explanations behind such phenomena, which go beyond ascribing them to alien intelligence.
Witness indicates that the date of the event is approximate.  PD