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 Δv₁, needed to enter the elliptical transfer orbit, and the change in orbital velocity, Δv₂, 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?