QUESTION:   
How does the KAO see things when the plane is going 540 miles per hour?

ANSWER from Kaiser Adeni, KAO Engineer, on November 2nd, 1995:
We have a computer system called the tracker that keeps the telescope pointed
in the direction of the star. There are other computers on the KAO that
calculate the "turns" the KAO should make to keep the desired heading for
maximum viewing time of the star. All these computers together keep the
telescope pointed at the star. That is how we "see" the stars moving at
such high speed.