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On the instability of the pear-shaped figure of equilibrium of a rotating mass of liquid." In: Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, Vol. 217, 1918.

JEANS, James Hopwood (1877-1946).

Published by Harrison and Sons, 1918., London:, 1918
From Jeff Weber Rare Books, ABAA (Carlsbad, CA, U.S.A.)

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4to. Pages (1)-34. [Entire volume: viii, 432 pp.] 1 fig. Contemporary blind-stamped maroon cloth, gilt spine; rubbed, corners bumped, outer hinges frayed. Ex library white ms. spine number, bookplates on front paste down. Very good. FIRST EDITION of this essay which culminated Jeans's contribution on rotating liquid masses. "As early as 1902-1903 Jeans had occupied himself with the forms and stability of rotating liquid masses, inspired in this by the work of George Darwin. Poincare had traced the evolution of a rotating incompressible fluid mass slowly contracting gravitationally through ellipsoidal figures to a pear-shaped figure but was unable to decide the stability of the latter. By an incomplete argument Darwin concluded that the pear-shaped figure was stable, but in 1905 Lyapunov demonstrated the opposite. Jeans's earliest work in this field had been to compute the equilibrium figures of rotating liquid cylinders; this simplified problem allowed him to refine the calculations to a much higher degree of accuracy while still showing characteristics of the more complex three-dimensional case. He returned to the general problem in papers published in1914-1916, demonstrating that Darwin had not gone to a sufficiently high approximation in his calculations to be able to decide the stability of the pear-shaped figure and that, if this were done, the figure was indeed shown to be unstable." DSB. DSB, VII, pp. 84-86. Bookseller Inventory # S6231

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Bibliographic Details

Title: On the instability of the pear-shaped figure...

Publisher: Harrison and Sons, 1918., London:

Publication Date: 1918

Binding: Hardcover

Edition: 1st Edition

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