The theory of the divisions in Saturn's rings. In: Philosophical Transactions of the Royal Society of London, Series A, Volume 239, Mathematical and Physical Sciences.

London:: Printed and Published for the Royal Society by the Cambridge University Press, 1946., 1946. 298 x 239 mm. 4to. Pages 183-216. [Entire volume: vii, [1 blank], 594 pp.] Blind-stamped maroon cloth, gilt spine; covers dusty, corners bumped, inner hinge cracked. Very good. FIRST EDITION. In this paper, Goldsbrough constructs a family of periodic orbits of the particles forming Saturn's rings when perturbed by a satellite; the stability of these orbits is examined by the method of small displacements. The stability determined by this method was shown to (truncated) have a real meaning when applied to observed measurements of the rings. (Inventory #: S4179)