In English there's no single word for the different types of topological surroundation.
There are also difficulties with 2D versus 3D situations.
- Saturn-like situation: The XYZ encircles the planet, or just, the XYZ circles the planet.
(Note that one meaning of "circles" is identical to "encircles".)
A farm, with something like a "clos" (as in French) around it. The XYZ encloses the farm.
A handheld object such as, say, loaf of bread. The xyz wraps around it.
A more "general" surroundation. The xyz encompasses the baseball field. THe XYZ encompasses the city center.
"Circle" (or "encircle") is probably closest to being able to be used in all cases; but it leans towards the 3D.
Realize that with many SWR, the correct answer is, there is no such SWR in English.
If you're literally asking about Saturn or similar topological/metric domains you're probably looking for "encircles".
Regarding more 3D issues, there is no really good word for it. (You could make up "enspherization" for technical use, based on encirclization, if you work in 3D graphics engineering. You can sometimes use "clothes" or "skins" in such a technical setting.) You normally have to use a phrase like "wraps completely around" or "covers all sides". Example, "the shrink-wrap completely covers the bowling ball all around", etc.