2D Parametric

Elliptical

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// Elliptical motion in rotating frame
x(t) = 5*cos(t)
y(t) = 3*sin(t)
a(t) = 0.5*t
p(t) = ( x(t)*cos(a(t)) + y(t)*sin(a(t)), -x(t)*sin(a(t)) + y(t)*cos(a(t)) )
plot( p, 0, 20, 500 )