 On the one hand, Corollary V, like “Law 3” in De Motu, precisely restricts what Newton’s procedure can determine about the structure of the system of the world. It cannot determine anything about the velocity of the system as a whole; it can only determine the position of the center of gravity of the bodies that comprise it, and the configuration of those bodies with respect to that center. In this sense it can, in principle, decide between a Keplerian and a Tychonic interpretation of the motions of these bodies. The system is indeed approximately Keplerian: the sun has by far the greatest mass and is therefore little disturbed from the center of gravity by its interactions with the planets. The sun therefore remains very close to the common focus of the nearly Keplerian ellipses in which the planets orbit the sun. But by Corollary V, the actions of the bodies among themselves would not reveal whether their center was moving uniformly or at rest. On the other hand, Newton recognized that motion with respect to absolute space is unknowable. This restriction, therefore, meant that the solution to the system of the world is secure in spite of our ignorance. The nearly-Keplerian structure of the system is known completely independently of the system’s state of motion in absolute space.