Increasing Salvo Kill Probability through Aim Point Patterning
Abstract
An expression is developed for the probability of at least one hit on a target in a salvo of N rounds under the following assumptions: (1) the target is circular of radius a; (2) the rounds are aimed at a pattern of points about the target center; (3) the aiming error, common to all rounds in the salvo, is governed by a circular normal distribution with variance Sigma sub 1 squared; (4) the round-to-round or random errors, separate and independent for each round in the salvo, are governed by a circular normal distribution with variance Sigma sub 2 squared; and (5) there is independence between the aiming error and the random errors. Restricting the pattern of aim points to equidistant points on a circle centered at the target center, the expression is used to obtain pattern radii which yield maximum probability for a variety of values of the parameters average radius = a over sigma sub 2, average sigma sub 1 = sigma sub 1 over sigma sub 2, and N. A comparison of these maximum probabilities with those obtained by aiming all rounds at the target center shows that a substantial increase in probability can be achieved through aim point patterning.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0901556
Entities
People
- Gary W. Gemmill
- Marlin A. Thomas
Organizations
- Naval Surface Warfare Center Dahlgren Division