"In Book I, Prop. LXVI of the first edition of Philosophiae naturalis principia mathematica, Newton (1687) discussed the dynamical problem of three bodies in a general way, and then in Book III he asserted that the vagaries of the Moon's motion could be accounted for by the gravitational attraction of the Sun. He recognized that he needed to develop the theory further, and summarized his later results in The theory of the Moon's motion of 1702 (Cohen 1975). He continued to refine his treatment up to the publication of the second edition of Principia (Newton 1712), some sections of which differ greatly from the first edition. He made almost no further changes of his own in the third edition, but added a scholium by Machin (1726) on the motion of the nodes. The published account of the rotation of the apse line, much the same in all versions, was seriously wrong, but even before 1690 Newton had developed a somewhat more satisfactory treatment, with which, however, he remained dissatisfied and never published (Whiteside 1976). (Since this article was prepared, the new English translation of the Principia by Cohen and Whitman (1999) has appeared. It is a translation of the third edition of 1726, which differs significantly in a few places from the first and second editions, as will be indicated.)"