Expected Target Damage for a Salvo of Rounds with Elliptical Normal Delivery and Damage Functions

In this paper we obtain a series expansion for the expected fraction of damage to a circular target when it is assumed that a salvo of n rounds is delivered onto the target area with a noncircular normal or gaussian distribution and the damage function for each round can be represented by a noncircular exponential square fall-off law. The results are easily extended to an elliptical-shaped target. The aim of the paper is to obtain explicit approximations for target damage.