Damage to a Circular Target by a Gaussian Distributed Warhead with Uniformly Distributed Bomblets

A derivation is given for an analytic expression representing the expected damage to a circular target of uniform value by a cluster of N bomblets. These bomblets are scattered by the detonation of a larger bomb. Each is considered to have a circular lethal area of specified radius, the same radius for all bomblets. The impact point of the large bomb is governed by a circular normal distribution with its mean at the target center. The bomblets are assumed to be independently dispersed under a uniform distribution over a prespecified circular area, known as the warhead-effects field, having its center at the impact point of the large bomb. Typical graphical results are included.