The actual jump point location is influenced by the survey location it is "linked" to, but the location can be really far away (in fact, in can be closer to a different survey location entirely!)
Jump points don't orbit. dropping a buoy on the JP (or at any location relative to it) will work.
The downside of jump points not orbiting is that it's hard to put DSTs on a rock nearby to watch it, since said rocks DO orbit.