Conservation of angular momentum:
angular momentum at perigee = angular momentum at apogee
mvprp = mvara
va/vp = 1/3.
Conservation of Energy:
Energy at perigee = Energy at apogee
Hence to transfer to a circular orbit at apogee, we have to boost the velocity by Δ = (3.23 – 2.28) = 0.95 km/s. This can be done by suitably firing rockets from the satellite.