An approximate analytical solution describing oscillations of a conductor in a magnetic field
An approximate analytical solution to a system exhibiting oscillations of a conductor in a magnetic field is sought by means of multiple scales. A comparison between the analytical solution and the numerical integration is made. The results show a nearness of frequency but discrepancy in amplitude. The foundation to implement an effective control strategy is established. This solutions gives an indication of a starting point so that the trajectory may be steered towards a desired basin of attraction.