5 B (20 points) A satellite is in a circular orbit (labeled 1} around the earth [mass M') at. radius R with speed \"initial = \\fGi'u'fR. 'Ne wish it. to climb to a higher circular orbit, at radius R' > R with speed vml = \"Grid/Rf. 'Ne will do this by means of an elliptical Hohmoun transfer orbit. The satel lite applies an impulse (a change of speed as) at. time zero, which puts it into the transfer orbit (labeled 2). 0n arriving at the new distance R, it. is at. the apogee of the transfer orbit. It then applies an additional impulse rf. increasing its speed again. to enter the nal circular orbit {la beled 3}. a) \"That. is the angular momentum l and energy e (per mass) of the transfer orbit? [This is readily found from your knowledge of R and R' and knowing the transfer orbit's formula for Mei}; see above.] b) 'What. are the needed instantaneous changes of velocity A1! and die" ? All answeis should be in terms of 1H , G, R and R]. To answer these questions you may nd it useful to recall the formula for rm) above. Hint: what are or and e in terms of R and RF? Note that e must be negative