Synchronous Orbit Parameters


A communications satellite is to be placed into an equatorial orbit around the Earth so that it always remains above a fixed point on the Earth's surface. Assume this requires the period to be 24 hours. Determine the radius of the orbit and the satellite's velocity.


As we have seen for a circular orbit r=G*M/v2. If the period is to be 8.64e4 seconds (24 hours) then
2*pi*r/v=8.64e4, or r=(8.64e4/6.28)*v so,
Plugging this back into r=G*M/v2 we get

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