That's a great find. A noteworthy (to me) feature was the height of the orbit -- they're at ~1000 miles above the Earth's surface. This indicates that they were unaware of the Van Allen belts, which makes sense, in 1955, no artificial satellites had yet been launched.

Edit: Also noticed the dramatized mission has a "free-return" trajectory, no maneuver required at the moon to get back to Earth.