A few years after his release from a North Vietnamese prisoner-of-war camp in 1973, Colonel Joseph Kittinger retired from the Air Force. Restless and unchallenged, he turned to ballooning, a lifelong passion as well as a constant diversion for his imagination during his imprisonment. His primary goal was a solitary circumnavigation of the globe, and in its pursuit he set several ballooning distance records, including the first solo crossing of the Atlantic in 1984. But the aeronautical feats that first made him an American hero had occurred a quarter of a century earlier.

By the time...