TRAJECTORY EQUATIONS OF MOTION IN RADAR POLAR COORDINATES

Abstract

The equations of motion of a body under the influence of the earth's gravity and atmospheric drag are obtained in radar polar coordinates. The choice of this coordinate system may have important advantages in various tracking and filtering algorithms. A rotating ellipsoidal earth with gravitational terms up through the second (easily extendable) harmonic is assumed. The effects of a non-spherical earth along with the corresponding effects of the higher gravitational harmonics can be important in the estimation of ballistic coefficients at very low deceleration levels.

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Document Details

Document Type
Technical Report
Publication Date
May 24, 1967
Accession Number
AD0652841

Entities

People

  • Sebastian F. Catalano

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Celestial Mechanics
  • Coefficients
  • Coordinate Systems
  • Differential Equations
  • Earth Models
  • Equations
  • Equations Of Motion
  • Grids
  • Harmonics
  • Kalman Filtering
  • Kalman Filters
  • Latitude
  • Models
  • Reference Ellipsoids
  • Rotation
  • Trajectories

Readers

  • Approximation Theory.
  • Atmospheric Science/Meteorology
  • Fluid Dynamics.