Use a hohmann transfer to move a vehicle in a circular orbit of radius 3600 km around mars into a circular orbit of radius 4400 km. you may work in an orbit-plane perifocal) coordinate system. what are the two burns, each in terms of a,? how much total a, is required? with gl 3 km/sec, and the linear fuel mass model, estimate the percentage of total (pre-burn) vehicle mass that would be consumed. what would the estimate be using the more accurate exponential model? (recall that for mars, u 42828. km/sec2.) (10) perform the same radius change as in the previous problem, but do it in two stages: one hohmann transfer from 3600 up to a 4000 km circular orbit, followed by a second hohmann transfer taking the vehicle up to the full 4400 km circular orbit. how does the corresponding total a, compare with that of the previous approach? (you do not need to re-estimate fuel masses.)