Essay Review: Newton and the Lunar Motion: Newton's Forgotten Lunar Theory: His Contribution to the Quest for Longitude

Newton Isaac , Theory of the Moon's motion (1702) , with a bibliographical and historical introduction by I. Bernard Cohen (London, 1975).

Ptolemy's Almagest , translated and annotated by Toomer G. J. (Princeton, 1998), 173–216.

Roberts V. , “The solar and lunar theory of Ibn ash-Shatir: A pre-Copernican Copernican model”, Isis , xlviii (1957), 428–32; Saliba G. , A history of Arabic astronomy (New York, 1994), 291–305.

Nicholas Copernicus, On the Revolutions. Translation and commentary by Rosen Edward (Baltimore, 1978), 191–5.

Wilson Curtis , “Predictive astronomy in the century after Kepler”, in Planetary astronomy from the Renaissance to the rise of astrophysics , Part A, ed. by Taton R. Wilson C. (Cambridge, 1989), 161–206.

Ibid. , 166–71.

Newton Isaac , The Principia: A new translation and guide , by Cohen Bernard I. Whitman Anne (Los Angeles, 1999).

Westfall R. S. , Never at rest: A biography of Isaac Newton (Cambridge, 1980), 541.

Newton , op. cit. (ref. 1), 41.

Ibid. .

Wilson , op. cit. (ref. 6), 200.

Whiteside D. T. , “Newton's lunar theory: From high hope to disenchantment”, Vistas in astronomy , xix (1976), 317–28.

Westfall , Never at rest (ref. 8), 547.

Wilson Curtis , “Newton on the Moon's variation and apsidal motion: The need for a newer ‘new analysis’”, in Isaac's Newton natural philosophy , ed. by Buchwald Jed Z. Cohen Bernard I. (Cambridge, Mass., 2000), 139–88; Nauenberg M. , “Newton's perturbation methods for the three-body problem and their application to lunar motion”, ibid. , 189–224; idem, “Newton's Portsmouth perturbation theory and its application to lunar motion”, in The foundations of Newtonian scholarship , ed. by Dalitz R. H. Nauenberg M. (London, 2000), 167–94.

Wilson , op. cit. (ref. 5).

The mathematical papers of Isaac Newton , vi: 1684–1691, ed. by Whiteside D. T. (Cambridge, 1974), 508–37.

Nauenberg , opera cit. (ref. 14).

In his conclusion, Kollerstrom quotes D' Alembert who “doubted whether this derivation of the annual equation was really sound”, p. 230: “Il en est quelques-unes que M. Newton dit avoir calculées par la Théorie de la gravitation, mais sans nous apprendre le chemin qu'il a pris pour y parvenir. Telles sont celles de 11′49” qui dépend de l'équation du centre du soleil.”.

Nauenberg , opera cit. (ref. 14).

Westfall , Never at rest (ref. 8), 545.