Letter to the Editor - Expected Coverage of a Circular Target by Bombs all Aimed at the Center

Abstract : The exact mathematical formulation is derived for the expected proportional coverage of a circular target from n weapons all aimed at the center of the target. It is assumed that the weapons fall in a circular normal distribution and that the lethal area of each weapon is a circle of specified radius (cookie-cutter lethality function). Tables are presented which are based on this formulation and which were computed on an IBM 7030 (STRETCH) computer. The computing time per case for overages correct to two decimal digits is 0.25 to 0.50 seconds.