%0 Journal Article
%T Impact of Eccentricity on Nonlinear Oscillations of a Point-Like Charge in the Electric Field of a Curvature-Dependent Elliptic Charged Ellipse
%A Haiduke Sarafian
%J American Journal of Computational Mathematics
%P 603-611
%@ 2161-1211
%D 2020
%I Scientific Research Publishing
%R 10.4236/ajcm.2020.104035
%X Calculation of the interactive force between two horizontally stacked circular uniformly charged rings placed along the common vertical axis conducive to nonlinear oscillations under gravity has been addressed [1]. Although challenging, nonetheless the scope of the study limited to uniform charge distributions of the rings. Here we extend the analysis considering a charged ellipse with a nonuniform, curvature-dependent elliptic charge distribution exerting a force on a point-like charge placed on the vertical symmetry axis. Nonuniform charge distribution and its impact on various practical scenarios are not a common theme addressed in literature. Applying Computer Algebra System (CAS) particularly <em>Mathematica</em> [2], we analyze the issue on hand augmenting the traditional scope of interest. We overcome the CPU expensive symbolic computation following our newly developed numeric/symbolic method [1]. For comprehensive understanding, we simulate the nonlinear oscillations.
%K Nonlinear Oscillations
%K Elliptic Curvature-Dependent Charge Distribution
%K Computer Algebra System
%K &lt
%K i&gt
%K Mathematica&lt
%K /i&gt
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=105957