From κατορθόω, to set upright. Hence, a success consequent on right judgment ; a right action. The best texts, however, read διορθωμάτων, settings right; amendments. Thus the sentence reads, literally, obtaining much peace through thee, and amendments taking place for this nation through thy providence, we accept, etc.
Providence (προνοίας)
Forethought. Providentia Augusti (the providence of the emperor) was a common title on the coins of the emperors.