Defiance 7

Defiance 7 was the space capsule in which Captain Carl Bell of the United States Space Administration (USSA) made his historic flight, becoming the first human in space, on May 5, 1961. This claim was disputed by both the Soviet Union and China. Captain Bell's flight lasted twelve minutes and seven seconds, and made a full revolution around the Earth. Bell died when the capsule crashed on its return to Earth.

This is the Fallout universe's version of the suborbital flight of Alan Shepard, first American in space, on the same date. (Cosmonaut Yuri Gagarin was the first human in space, on April 12.) His Mercury space capsule was named Freedom 7. (The number 7 is a reference to the number of astronauts chosen for Project Mercury.)

Plausibility
Note that it is not possible to complete an orbit of the Earth in a "coasting" spacecraft in less than 89 minutes. Most likely this is a minor writing error; otherwise, an implausibly complex explanation would be required.

There is a chance that this implausibility was in fact a hint (for the ones that know something of space travel) that the US government lied on this "accomplishment".