Kazbek is named after Mount Kazbek, a dormant stratovolcano and one of the major mountains of the Caucasus located in the Kazbegi District of Georgia and North Ossetia (Russia).
The movie the dogs watch on the projector is "The White Sun of the Desert", a Soviet classic. USSR astronauts used to watch this movie before launching to space. This tradition is still kept by Russian astronauts till now .
The CCCP airplane the Russian agent flies on to the U.S. appears to be an Ilyushin Il-14.
This film is based on the historic event of 1960, where two dogs were sent into space in Russia.