AN EFFICIENCY STUDY OF SEVERAL TECHNIQUES FOR THE NUMERICAL INTEGRATION OF THE EQUATIONS OF MOTION FOR MISSILES AND SHELL

Abstract

The numerical integration of the equations of motion for missiles and shell is a frequently occurring computational problem in government laboratories and in the aerospace industry. Because of the repetitive nature of such computations and the continuing requirement, it is desirable to make these computations as efficiently as possible in order to minimize the computer time spent in their solution. The cost in terms of time required to solve representative problems to a specified accuracy is a measure of the relative efficiency of numerical integration methods and can be determined only experimentation. This report describes the results of such an experimental study and finds that the Kutta-Merson procedure with automatic and continuous interval adjustment is far superior to the predictor-corrector techniques. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0812362

Entities

People

  • Harold J. Breaux

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Characteristics
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Curve Fitting
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Euler Angles
  • Firing Tables
  • Flight
  • Governments
  • Numerical Analysis
  • Numerical Integration
  • Procedures (Computers)
  • Runge Kutta Method

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design

Technology Areas

  • Space