Barn door tracker, also known as a Scotch Mount or a Haig Mount or a fog generator. It can be driven by hand, but by adding a small motor you eliminate the problem of trying to turn the threaded drive rod while swatting mosquitoes. Bending or curving the rod solves the alignment problem caused by a straight rod.
The distance of the drive rod, straight or curved, from the center of the hinge at 1 RPM should be 228.56 divided by the number of threads per inch (tpi), or 1436/tpi/3.1415/2.
The first time I saw one of these it's owner refereed to it as “fog generator” and he would joke that the chance of having a clear sky was inversely proportional to the strength of his battery.
Comet Hale Bopp. Winter Park Colorado, Canon AE-1, March 23 1997