This is a core memory unit from an IBM 9020 computer. It stored data in a three-dimensional array of donut-shaped "cores" of magnetic material. Each core stored a binary number one or zero, depending on the direction of its magnetization.
The IBM 9020 was a large, mainframe computer configured for real-time operation and programmed to handle en-route air traffic control functions at about two dozen centers across the continental United States. The 9020 consisted of three standard commercial mainframes, the IBM System/360 Model 50. All three ran in tandem to ensure high reliability. Unlike standard IBM mainframes of the day, the 9020 was programmed to operate in "real time": that is, to compute and generate results as fast as or faster than data were fed into it.
A full system consisted of this computer coupled to air traffic controllers' consoles, with data fed into the system from long-range radar and other ground stations. IBM 9020s were in use at en-route centers from about 1967 through 1997. This system was used at the FAA en-route center in Leesburg, VA.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.