FIRST- AND SECOND-ORDER PARTIAL DERIVATIVES OF FREE-FLIGHT RANGE AND TIME EQUATIONS FOR IMPACT ACCURACY OF BALLISTIC MISSILES,

Abstract

Calculation of the impact error of a ballistic missile as a result of perturbation in the cutoff conditions can be accomplished by use of a Taylor Series. This requires the determination of the partial derivatives of the free-flight range and time-of-flight equations. First- and second-order partial range and time derivatives were obtained for several coordinate systems. These derivatives are plotted against cutoff conditions for a wide range of minimum energy (maximum range) trajectories. Several special conditions are noted. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 10, 1958
Accession Number
AD0659424

Entities

People

  • Everett L. Gilman
  • Stephen L. Johnston

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Ballistic Missiles
  • Coordinate Systems
  • Equations
  • Errors
  • Flight
  • Free Flight
  • Free Flight Trajectories
  • Mathematics
  • Perturbations
  • Trajectories

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Missile Defense Systems.