A spacecraft parked in circular low-earth orbit \(200 \mathrm{~km}\) above the ground is to travel out to a circular geosynchronous orbit, of period 24 hours, where it will remain.

(a) What initial \(\Delta v\) is required to insert the spacecraft into the transfer orbit?

(b) What final \(\Delta v\) is required to enter the synchronous orbit from the transfer orbit?