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The Convergence of the Trigonometric Series of Dynamics
Published online by Cambridge University Press: 20 January 2009
It has been shown in the previous three parts of this work, that the whole question of the convergence of the series solution, for the particular dynamical system under consideration, has turned upon the cubic equation
Before proceeding to generalize the results it will be shown how this cubic equation may be derived in a slightly different fashion.
* Part I., § 2, p. 36, eqns. 5 and 6.
* Proc. Lond. Math Soc., 34 (1902), p. 206 Google Scholar; or “Analytical Dynamics,” §§ 182–186.
† See Delauney, , Théorie de la Lune Google Scholar, and Tisserand, , Annales de l'Obs. de Paris, Mémoires, 18 (1885).Google Scholar