Kill Probability of a Gaussian Distributed Cookie-Cutter Weapon Against a Random Uniformly Distributed Point Target within an Ellipse

Abstract

A solution by deterministic methods is described of the problem of computing the single-shot kill probability of a point target at a random point from a uniform distribution over the interior of an arbitrary ellipse in the plane, given that the distribution of shots is uncorrelated bivariate normal with respect to a rectangular coordinate system in the plane, and that the weapon has a cookie-cutter damage function with prescribed lethal radius R. This solution has been programmed at NSWC, Dahlgren Laboratory. The numerical evaluation of a double integral, whose integrand contains the so-called elliptic coverage function, is required. Computer results clearly show the superiority of this solution over a non-deterministic, Monte Carlo method of Weidman and Brunner.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA022936

Entities

People

  • A. R. Didonato
  • M. P. Jarnagin Jr.
  • R. K. Hageman

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • C4I
  • Counter IED
  • Weapons Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Computations
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Data Science
  • Error Analysis
  • Information Science
  • Integrals
  • Kill Probabilities
  • Monte Carlo Method
  • Normal Distribution
  • Probability
  • Random Variables
  • Test And Evaluation
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Explosive Engineering.
  • Statistical inference.