Basic Linear Cartesian Dynamic Models in Local Coordinates
NAVAL RESEARCH LAB WASHINGTON DC WASHINGTON United States
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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.
- Numerical Mathematics