Chapter 14, Problem 14.19P

(a)

To determine

Prove that any projectile that comes in from infinity must reach a minimum value $r_{\min }$ and then move out to infinity again.

(b)

To determine

Prove that the values of $\dot{r}$ at these point are equal and opposite and the values of $\dot{\psi }$.

(c)

To determine

Prove that orbit is symmetric under reflection.