Suppose that you decided to send a spacecraft to Neptune using aHohmann transfer. The craft starts in a circular orbit close to theEarth (1 AU) and is to end up in a circular orbit near  Neptune (about 30 AU).  (a) How long would the transfertake?  (b) How could you shorten this time, withoutincreasing the amount of fuel required?  (c) What changein velocity is needed to enter the transfer orbit?  (d)  What is the change in velocity needed to enter thecircular orbit near Neptune?