APPROXIMATE CIRCULAR AND NON-CIRCULAR OFFSET PROBABILITIES OF HITTING

Abstract

For equal or unequal delivery errors and an offset point of aim, the chance that the burst point of a warhead occurs within a given distance of a selected point of the target is approximated by reference to the Non-central Chi-square distribution. Offset circular and non-circular probabilities of hitting for the two and three dimensional cases may thus be approximated wiw detaated with a single, straight-forward and rather simple technique by the use of a central Chi-square distribution with fractional number of degrees of freedom or a transformation to approximate Normality. Computations of probabilities of hitting are illustrated by examples. The approximations recommended appear to be of sufficient accuracy for many weapon systems evaluation pp problems. This report supersedes BRL Memorandum Report No. 1472.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0425572

Entities

People

  • Frank E. Grubbs

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Air Force
  • Computations
  • Computer Programming
  • Computer Programs
  • Computers
  • Corporations
  • Military Research
  • Munitions
  • New Jersey
  • Normal Distribution
  • Probability
  • Three Dimensional
  • Universities
  • Virginia
  • Warfare
  • Weapon Systems
  • Weapons

Fields of Study

  • Mathematics

Readers

  • Marksmanship and Weaponry.
  • Statistical inference.