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The Vibration of a Particle about a Position of Equilibrium—Part IV

The Convergence of the Trigonometric Series of Dynamics

Published online by Cambridge University Press:  20 January 2009

Bevan B. Baker
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Extract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , February 1922 , pp. 141 - 145
Copyright
Copyright © Edinburgh Mathematical Society 1922

References

* 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