A geosynchronous orbit for a satellite has a period of one Earth day. A geostationary orbit is a geosynchronous orbit in which a satellite always stays above the same location on the Earth. Such orbits are used for weather, TV, and communications satellites.
(a) What are the radius and height above the ground of a circular geosynchronous orbit around the Earth (in m and Earth radii)? Is this a high or low orbit? How does its height compare with the height of the orbit of the International Space Station (about 360 km)? [HINT: You'll need to derive an algebraic relation between orbit radius and period, instead of just radius and speed.]
(b) Over what locations on Earth can a satellite be placed in a geostationary orbit? Please give your reasoning, including an illustrative diagram.
(c) From what locations on Earth can geostationary satellites not be "seen"? Please give your reasoning, including an illustrative diagram.