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this is the picture:

a)Consider a 1000 kg communication satellite that needs to be boosted from an orbit 300 km above the earth to a geosynchronous orbit 35,900 km above the earth. Find the velocity v_1 on the lower circular orbit.

answer: 7730m/s

b) Find the velocity v_1' at the low point on the elliptical orbit that spans the two circular orbits.

Answer: 1.02 x 10^4 m/s

**c) How much work must the rocket motor do to transfer the satellite from the circular orbit to the elliptical orbit?**

Answer: ?

d) Now find the velocity v_2' at the top of the elliptical orbit

Answer: ?

Answer: 1600 m/s

e) Now find the velocity v_2 of the upper circular orbit.

Answer: 3070 m/s

f) How much work must the rocket motor do to transfer the satellite from the elliptical orbit to the upper circular orbit?

Answer: ?

f) How much work must the rocket motor do to transfer the satellite from the elliptical orbit to the upper circular orbit?

Answer: ?

g) Compute the total work done.

Answer: 2.51 x 10^10 J

i know that c and f equal 2.51 x 10^10 J when added up. However, i dont understand how to get the work done to get this ship to the elliptical orbit and then to the outer orbit

please help. thanks,

nick