Optimum Interception of a Ballistic Missile at Moderate Range

Abstract

The problem of intercepting a ballistic missile optimally at moderate range is discussed. The problems of minimum time and minimum fuel consumption are specifically reported. A procedure is given for determining the trajectory on a digital computer, and some necessary and sufficient conditions are given for the corresponding optima. The computational procedure is a method of successive approximations. The simpler cases were checked out on the digital computer and further programming is under way. In the examples run, each iteration takes somewhat less than one second computing time on the CDC 1604. From three to six iterations are usually required to determine a trajectory, so that the trajectory is determined in five seconds or so. The variational equations, used to determine the trajectory, can also be used to determine the corrective thrust should the actual trajectory deviate slightly from the planned trajectory.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1961
Accession Number
AD0266582

Entities

People

  • Edward N. Ward
  • Frank D. Faulkner

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Ballistic Missiles
  • Calculus
  • Calculus Of Variations
  • Computer Programming
  • Differential Equations
  • Digital Computers
  • Equations
  • Equations Of Motion
  • Fuel Consumption
  • Government Procurement
  • Gravitational Fields
  • Gravity
  • Integrals
  • Interception
  • Linear Differential Equations
  • Relative Motion
  • United States

Readers

  • Computational Modeling and Simulation
  • Operations Research
  • Space Exploration and Orbital Mechanics.