Using a Hohmann transfer orbit to go from low Earth orbit to geosynchronous orbit
One way of lifting a satellite into geosynchronous orbit is to use the space shuttle to lift it into a circular, low Earth orbit (w/ h = 300 km above the Earth's surface), and then use a booster rocket to place the satellite on a Hohmann transfer orbit up to a circular geosynchronous orbit.
a) What is the orbital velocity of the satellite while it is still in low Earth orbit?
b) What is the orbital velocity at pericenter of the appropriate Hohmann transfer orbit?
c) What is the orbital velocity at apocenter of the Hohmann transfer orbit?
d) How long does it take the satellite to travel from the low-Earth orbit to the geosynchronous orbit?
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