Optimal Intercept Trajectories of a Ground-Launched Rocket.

Abstract

Optimal intercept trajectories in one and two-dimensional situations are investigated. Target evasive maneuvers are not considered. Aerodynamic drag on the rocket is a function of rocket velocity and an exponential atmosphere. Trajectories, often including singular thrusting, are calculated for the one-dimensional case by digital computer using the final rocket velocity as a parameter. Newton-Raphson techniques are used, and prove sensitive to estimates of initial values. The boundary-value problem for the the two-dimensional situation is formulated, but the numerical solution diverged. The difficulty is apparently due to the of Newton-Raphson methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0868273

Entities

People

  • Jerome N. Hyde

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Drag
  • Atmospheres
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Digital Computers
  • Drag
  • Intercept Trajectories
  • Maneuvers
  • Mathematics
  • Physical Properties
  • Trajectories
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Missile Defense Systems.
  • Space Exploration and Orbital Mechanics.