Vogsphere is the homeworld of the Vogons.
Vogsphere in the books
Vogsphere was fruitful and abundant, to "make up" for their lack of "evolution." This includes jeweled crabs which the Vogons crushed with mallets, slender trees to cook them, and gazelle like creatures which the Vogons could sit on, breaking its back. Once hyperspace was discovered, the Vogons left Vogsphere for Megabrantis Cluster.
Vogsphere in the movie
Vogsphere is ashy and derelict, with annoying spatula-shaped bugs that slap beings in their face if they ever say anything having to do with ideas, thinking, or anything of the sort. The Vogons still live there, and have buildings which double as their starships, as well as a rather lousy tram system. It orbits round a single sun.