Answer
(a) See graph, the satellite moves on a inward elliptical spiral towards the Earth.
(b) $8.37rad$
Work Step by Step
(a) See graph, as $\theta$ increasing from $0$ to $3\pi$, the satellite moves on a elliptical spiral towards the Earth can crashes on the Earth before making a $3\pi$ angle.
(b) It can be estimated that at about $2.66407\pi\approx8.37rad$, the satellite crashes on to the Earth.