%0 Journal Article %T Nonlinear Oscillations of a Pair of Charged Rings %A Haiduke Sarafian %J American Journal of Computational Mathematics %P 571-577 %@ 2161-1211 %D 2020 %I Scientific Research Publishing %R 10.4236/ajcm.2020.104032 %X Two electrically charged rings of different sizes are assembled along their common vertical symmetry axis through their centers. The bottom ring is secured on a horizontal support while the top one is loose. For a set of practical values characterizing the charged rings we envision a scenario where the mutual electric repulsion between the rings and the weight of the top ring results in stable nonlinear oscillations. To quantify the characteristics of the oscillations, we utilize a Computer Algebra System specifically Mathematica [1]. We accompany the analysis with a simulation for a comprehensive visual understanding. %K Nonlinear Oscillations %K Charged Ring-Ring Electrostatic Interaction %K Computer Algebra System %K < %K i> %K Mathematica< %K /i> %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=105732