Comparison of Meteorological Data With Fitted Values Extracted from Projectile Trajectory

Abstract

In this report, the atmospheric conditions are found by knowing only the projectile's flight trajectory and its flight coefficients together with the initial atmospheric conditions on the ground. The test trajectories were generated as solutions of the modified point mass (MPM) equations of motion. The correct atmospheric conditions for the generated flight trajectory are obtained from data collected during a weather balloon flight. A nonlinear least squares method was then used to fit the MPM equations to the test trajectory by varying the meteorological parameters. Density, sound speed, and wind profiles agreed well. Further tests of the method involved the flight coefficients, which we perturbed to observe the corresponding variation for the fitted values. Also, Gaussian noise was introduced onto the trajectory values to simulate the uncertainty in trajectory measurements. The results of the analysis shows that the whole trajectory should be fitted, and not small trajectory segments, to obtain accurate atmospheric parameters with the location precision provided by current radar and Global Positioning Satellite System (GPS) techniques.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1994
Accession Number
ADA285921

Entities

People

  • Gene R. Cooper
  • Kevin S. Fansler

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Coefficients
  • Engineering
  • Equations
  • Equations Of Motion
  • Gaussian Noise
  • Lapse Rate
  • Least Squares Method
  • Mach Number
  • Measurement
  • Noise
  • Numerical Analysis
  • Precision
  • Radar
  • Temperature Gradients
  • Trajectories
  • Wind Velocity

Fields of Study

  • Environmental science

Readers

  • Aerodynamics/Aeronautics.
  • Atmospheric Science/Meteorology
  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers