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Ellipsoidal Figures of Equilibrium
Ellipsoidal Figures of Equilibrium
Date: 23 May 2011, 02:11

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When I was asked early in 1962 to give the Silliman Memorial Lectures for 1963, I was, together with Norman R. Lebovitz, in the midst of a re-evaluation of the classical work on rotating liquid masses in the framework of a new method and a new approach. And in the four lectures on the " Rotation of Astronomical Bodies " I gave in April 1963, I attempted a broad survey of the subject in the spirit of the following quotation from a magnificent lecture by E. T. Whittaker on "Spin in the Universe.''
Rotation is a universal phenomenon; the earth and all the other members of the solar system rotate on their axes, the satellites revolve round the planets, the planets revolve round the Sun, and the Sun himself is a member of the galaxy or Milky Way system which revolves in a very remarkable way. How did all these rotatory motions come into being ? What secures their permanence or brings about their modification ? And what part do they play in the system of the world? Only the last of the four lectures was devoted to what has now been expanded into this book. But in 1963 I did not know how incomplete the classical work was and how much remained to be done; and I was not aware even of the existence of the fundamental papers of Dirichlet, Dedekind, and Riemann. And so I have preferred to devote the entire book to an expansion of the last lecture; in this way the book may have a permanence that I cannot claim for my discussion of the larger topics that were the subjects of the other lectures.

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