Optimal Mid-Course Modifications of Ballistic Missile Trajectories

Abstract

The problem of finding optimal mid-course modifications of ballistic missile trajectories is investigated. A single velocity impulse is applied at the point of transfer from the original orbit to the modified trajectory. This limits the modified trajectory to one which intersects the original trajectory. Optimization of a weighted function of transfer velocity impulse and the time to impact after the modification occurs is accomplished. The function can be weighted to accommodate trade-offs between both components. The study is divided into two parts. Elliptical orbits for a non-rotating, atmosphere free earth are investigated, and then trajectories for an oblate, rotating earth with atmospheric reentry are examined.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1975
Accession Number
ADA019333

Entities

People

  • Matthew P. Gillis Iii

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Altitude
  • Apogees
  • Atmosphere Entry
  • Ballistic Missiles
  • Ballistic Trajectories
  • Computational Science
  • Computer Programs
  • Coordinate Systems
  • Crystal Structure
  • Differential Equations
  • Earth Models
  • Equations
  • Equations Of Motion
  • Flight Paths
  • Free Flight
  • Plastic Explosives
  • Three Dimensional

Readers

  • Software Engineering
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris