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Question
Explain in detail the geostationary and polar satellites.
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Solution
The satellites orbiting the Earth have different time periods corresponding to different orbital radii. Kepler’s third law is used to find the radius of the orbit.
T2 = `(4π^2)/("GM"_"E") ("R"_"E" + "h")^3`
`("R"_"E" + "h")^3 = ("GM"_"E""T"^2)/(4π^2)`
`"R"_"E" + "h" = (("GM"_"E""T"^2)/(4π^2))^(1/3)`
Substituting for the time period (24 hours = 86400 seconds), mass, and radius of the Earth, h turns out to be 36,000 km. Such satellites are called “geostationary satellites” since they appear to be stationary when seen from Earth.
India uses the INSAT group of satellites that are basically geostationary satellites for the purpose of telecommunication. Another type of satellite that is placed at a distance of 500 to 800 km from the surface of the Earth orbits the Earth from north to south direction. This type of satellite that orbits Earth from the North Pole to the South Pole is called a polar satellite. The time period of a polar satellite is nearly 100 minutes and the satellite completes many revolutions in a day. A polar satellite covers a small strip of the area from pole to pole during one revolution. In the next revolution, it covers a different strip of the area since the Earth would have moved by a small angle. In this way, polar satellites cover the entire surface area of the Earth.
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