The optimal way of transferring a space vehicle from an

Chapter 13, Problem 13.105

(choose chapter or problem)

The optimal way of transferring a space vehicle from an inner circular orbit to an outer coplanar circular orbit is to fire its engines as it passes through A to increase its speed and place it in an elliptic transfer orbit. Another increase in speed as it passes through B will place it in the desired circular orbit. For a vehicle in a circular orbit about the earth at an altitude \(h_{1} = 200 mi\), which is to be transferred to a circular orbit at an altitude \(h_{2} = 500 mi\), determine (a) the required increases in speed at A and at B, (b) the total energy per unit mass required to execute the transfer.