The Vibration of a Particle about a Position of Equilibrium—Part IV: The Convergence of the Trigonometric Series of Dynamics

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 equat...

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 1922-02, Vol.41, p.141-145
Main Author: Baker, Bevan B.
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091500077932