STOCHASTIC DUELS WITH TIME-OF-FLIGHT INCLUDED

Abstract

The fundamental duel in the Theory of Stochastic Duels is extended to include projectile time-of-flight. As a preliminary, the marksman firing at a passive target is studied. Two firing procedures are assumed. In one, refiring proceeds as rapidly as possible, whereas in the other the duelist delays until he observes the effect of each round. Both fixed (discrete) and continuous (random) firing-times are considered. Also included is the case where time-of- flight varies uniformly with elapsed time. General solutions and examples are given. The analysis indicates in a quantitative way how time-of-flight may radically influence the outcome.

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Document Details

Document Type
Technical Report
Publication Date
May 19, 1966
Accession Number
AD0633912

Entities

People

  • C. J. Ancker Jr.

Organizations

  • System Development Corporation

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Ammunition
  • California
  • Classification
  • Contractors
  • Contracts
  • Convolution Integrals
  • Equations
  • Firing Rate
  • Hit Probabilities
  • Integrals
  • Intervals
  • Kill Probabilities
  • Probability
  • Probability Density Functions
  • Projectiles
  • Random Variables
  • Security

Fields of Study

  • Mathematics

Readers

  • Game Theory.
  • Theoretical Analysis.
  • ballistics.