(a) Find the curvature of an elliptical orbit that is described by r(t) a cos t i b sin
Chapter 9, Problem 18(choose chapter or problem)
(a) Find the curvature of an elliptical orbit that is described by \(\mathbf{r}(t)=a \cos t \mathbf{i}+b \sin t \mathbf{j}+c \mathbf{k}, a>0, b>0, c>0\).
(b) Show that when a = b, the curvature of a circular orbit is the constant \(\kappa=1 / a\).
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