A satellite is placed into a circular low Earth orbit at a distance of 6700 km from the centre of the Earth
a) Calculate the semi-major axis of a geosynchronous orbit with a period of 23 hours, 56 minutes, and 4 seconds (86,164 seconds).
b) Construct a Hohman transfer ellipse to raise the satellite to geosynchronous orbit. What is the semi-major axis of the transfer orbit?
c) Calculate the change in orbital velocity Îvâ, needed to enter the elliptical transfer orbit, and the change in orbital velocity, Îvâ, needed to circularize the orbit once the satellite reaches apogee.
d) How long will it take for the satellite to travel from low Earth orbit to geosynchronous orbit using a Hohman transfer?