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On the series of forms of Jacobi's rotating liquid ellipsoid

Published online by Cambridge University Press:  24 October 2008

W. F. Sedgwick
W. F. Sedgwick
Affiliation:
Trinity College
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Extract

The object of these notes is twofold. First, to connect the theory of the possible shapes of Jacobi's ellipsoidal equilibrium figure, for a given mass of homogeneous rotating liquid, with the theory of its stability and other properties given by Prof. H. F. Baker in his paper “On the stability of rotating liquid ellipsoids” in Proc. Camb. Phil. Soc. vol. 20, pp. 190–97. And secondly, to indicate two inconclusive reasonings on the subject in Thomson and Tait's Natural Philosophy (2nd edition), arts. 778 and 778′, and to complete the proofs of the results in question.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 1 , February 1926 , pp. 33 - 43
Copyright
Copyright © Cambridge Philosophical Society 1926

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References

* In this paper, on p. 191, line 12 from foot, for “(ξ12 − ξ1η1 + η12)” read “u (ξ12 − ξ1η1 + η12)”; on p. 192, line 13 from foot, for “φ1=c” read “φ1=σ”; and on p. 194, line 6 from foot, for ”b+x” read “b+y.”Google Scholar

* Or Lagrange, Œuvres, Tome XI (1888), pp. 219, 464, where the above-mentioned errata are repeated.Google Scholar