sure, you could use a lat, roting both influence and base simultaneously (or a grping of, can grp 'em on creatn if want), or do like joojaa sais, freezing to recast recasting points around origin, a little cumbersome but scriptable, or i just selct all my points and rot them around in local space (both are best if your in a non-historic modelling phase, when local point data aint sensitive), or just parent roted nulls to your obj for extra frames. depends on your situation.