Two geocentric elliptical orbits have common apse lines and their perigees are on the same side of the earth. The first orbit has a perigee radius of rp ¼ 7000 km and e ¼ 0.3, whereas for the second orbit rp ¼ 32,000 km and e ¼ 0.5.

(a) Find the minimum total delta-v and the time of flight for a transfer from the perigee of the inner orbit to the apogee of the outer orbit.

(b) Do Part (a) for a transfer from the apogee of the inner orbit to the perigee of the outer orbit.