This paper is the third of a series reporting the results of an investigation of the motion around semisubmerged prolate ellipsoids of revolution. The first paper [1]4 dealt with the general motion around a vibrating spheroid and with its applications to vertical ship vibrations; correction factors for the evaluation of the added mass were there calculated. The second paper [2] contained an analysis of the motion generated by a prolate spheroid under translatory horizontal oscillations and the resulting expressions and values for the added-mass coefficients. In the present work the expressions for the kinetic energy and the correction factors are derived for horizontal vibrations of the spheroid with any number of nodes. The values corresponding to certain horizontal vibrations with two and three nodes are given.

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