The spacecraft P is in the elliptical orbit shown. Atthe instant represented, its speed

Chapter 3, Problem 3/91

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The spacecraft P is in the elliptical orbit shown. At the instant represented, its speed is \(v=13,244 \mathrm{ft} / \mathrm{sec}\). Determine the corresponding values of \(\dot{r}, \dot{\theta}, \ddot{r}\), and \(\ddot{\theta}\). Use \(g=32.23 \mathrm{ft} / \mathrm{sec}^2\) as the acceleration of gravity on the surface of the earth and \(R=3959 \mathrm{mi}\) as the radius of the earth.

                                                       

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