Advertisements
Advertisements
Question
Explain in detail the geostationary and polar satellites.
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.
APPEARS IN
RELATED QUESTIONS
The time period of a satellite orbiting Earth in a circular orbit is independent of
The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then
If a person moves from Chennai to Trichy, his weight _________.
The kinetic energy of the satellite orbiting around the Earth is __________.
Define weight
How will you prove that Earth itself is spinning?
Derive the time period of the satellite orbiting the Earth.
Derive an expression for the energy of satellite.
In the following, what are the quantities which that are conserved?
If the Earth has no tilt, what happens to the seasons of the Earth?