A spacecraft is sent from the earth to Jupiter by a Hohmann transfer orbit.

(a) What is the semi-major axis of the transfer ellipse?

(b) How long does it take the spacecraft to reach Jupiter?

(c) If the spacecraft actually leaves from a circular parking orbit around the earth of radius \(7000 \mathrm{~km}\), find the rocket \(\Delta v\) required to insert the spacecraft into the transfer orbit.