Corona Discharge at the Tip of a Tall Object in the Electric Field of a Thundercloud

Characteristics of a positive transient corona discharge near the tip of a tall solitary grounded object in the electric field of a thundercloud are studied analytically and numerically. The time evolution of the discharge current and the space distribution of the total electric field are simulated for different growth rates of the external field and the dimensions and geometry of the stressed electrode. The effect of aerosol ions is shown to be negligible at a short duration of the corona. The developed simplified analytical approach agrees with numerical simulations.