The case was most thoroughly investigated by Dr. James McDonald. Here's a portion of a talk by McDonald in which he discusses the case in detail.
Most libraries carry it as well.
Kirtland AFB, November 4, 1957. On radar, it was then followed south some miles, where it orbited a number of minutes before returning to the airfield to follow an Air Force aircraft outbound from Kirtland. This case, discussed in the Condon Report on p. 141, is an example of a UFO report which had lain in Bluebook files for years, not known to anyone outside of Air Force circles. For, as you will note on reading it for yourself, it purports to explain an incident in terms of an hypothesis with some glaringly improbable assumptions, and makes a key assertion that is hard to regard as factual. This unidentified object appeared to reverse direction at low altitude, while out of sight of the observers behind some buildings, and climbed suddenly to about 200-300 ft., heading away from the field on a 120 deg. course.