Circular Probable Error for Circular and Noncircular Gaussian Impacts

Abstract

Circular probable error (CEP), defined as the radius of a circle centered at the aimpoint, which has a 50 probability of hit, is one of many measures of precision used to characterize ballistic precision. When determining CEP for two-dimensional impact data in which both dimensions are assumed to be independent, the case where both dispersion components are equal is a straightforward application of the Rayleigh distribution. However, when the dispersion components differ, an approximate CEP formula is necessary. This document evaluates the accuracy of the approximate CEP formula using Monte-Carlo simulation and shows that its associated probability of hit is no more than 2.17 higher than the nominal value of 0.50.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2012
Accession Number
AD1043284

Entities

People

  • David W. Webb

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Data Science
  • Dispersions
  • Errors
  • Hit Probabilities
  • Information Science
  • Military Research
  • Monte Carlo Method
  • Precision
  • Probability
  • Random Variables
  • Simulations
  • Statistical Analysis
  • Statistics
  • Two Dimensional
  • Weapon Systems
  • Weapons

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation