Basic Linear Cartesian Dynamic Models in Local Coordinates

Abstract

Dynamic models that are linear in Cartesian coordinates are nonlinear when transformed into other coordinate systems. This note goes through derivations of such models for constant-velocity problems in a variety of 2D polar and r-u coordinates systems and in 3D spherical and r-u-v coordinate systems, sparing tedious derivations for simple tracking problems. The conversions for r-u and r-u-v coordinate systems do not appear to have been previously published.

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Document Details

Document Type
Technical Report
Publication Date
Aug 24, 2019
Accession Number
AD1082901

Entities

People

  • David F. Crouse

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coefficients
  • Control Systems
  • Conversion
  • Coordinate Systems
  • Defense Systems
  • Department Of Defense
  • Differential Equations
  • Dynamics
  • Electronic Mail
  • Elevation
  • Equations
  • Equations Of Motion
  • Flight Control Systems
  • Guidance
  • Information Operations
  • Measurement
  • Military Research
  • Passive Tracking
  • Radar Targets
  • Target Tracking
  • Targets

Readers

  • Control Systems Engineering.
  • Geodesy
  • Inertial Navigation Systems.