Effect of the initial deformation of a charged drop on nonlinear corrections to critical conditions for instability

A nonlinear (proportional to the vibration amplitude squared) decrease in the critical (in terms of instability) charge of a vibrating drop is found to be limited, as follows from third-order asymptotic calculations. This effect occurs when the spectrum of modes specifying the initial deformation of the drop contains, along with the fundamental mode, higher modes. The influence of the environment density on nonlinear corrections to the critical conditions for instability is analyzed.