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Posted on February 17, 2023 (Updated on July 10, 2025)

Formula for maximum coverage of a geostationary satellite based on earth station elevation

Hiking & Activities

What is the formula of geostationary satellite?

FA=R2GMm where G, equals, 6, point, 67, times, 10, to the power minus 11 , m, cubed, k, g, to the power minus 1 , s, to the power minus 2 ,G=6.67×10−11m3kg−1s−2 is the gravitational constant; M, equals, 5, point, 97, times, 10, to the power 24 , k, g,M=5.97×1024kg and m are the masses of the Earth and the satellite

How much area can a geostationary satellite cover?

A single geostationary satellite is on a line of sight with about 40 percent of the earth’s surface. Three such satellites, each separated by 120 degrees of longitude, can provide coverage of the entire planet, with the exception of small circular regions centered at the north and south geographic poles.

What is the distance of geostationary satellite above the earth surface?

about 36000 km

The geostationary orbit of the earth is at a distance of about 36000 km from the earth’s surface. Find the weight of a 120-kg equipment placed in a geostationary satellite.

How much part of the earth can a geostationary satellite cover almost in general?

A geostationary satellite has a radius of orbit 42,400 km and at a height above the earth’s surface 36,000 km. One satellite could cover 42% of the area of the whole globe and we would need at least 3 of them to cover completely.

What is the formula for height of geostationary satellite?

What is the height of geostationary satellite from the surface of the earth? h = 3.6 x 107 m = 36000 km. The height of geostationary satellite from the surface of the earth is 36000 km. = 1.5 × 1011 m).

Why a geostationary satellite is placed at a height 36000 km?

GEO satellites orbit the earth at a fixed distance of 35,786 km. The speed of the satellite at this distance matches the earth’s rotation, thereby keeping the satellite stationary over a particular point on the earth.

What is the formula for satellite coverage?

To calculate the satellite coverage area, divide 50 percent by the result of 1 plus the radius of the earth over the distance from the surface to the satellite.
 

What is the coverage area of a satellite?

The satellite coverage area is defined as a region of the Earth where the satellite is seen at a minimum predefined elevation angle. The satellite’s coverage area on the Earth depends on orbital parameters. The communication under low elevation angles can be hindered by natural barriers.

What is the maximum distance covered by satellite communication?

MEO satellites operate from 10,000 to 20,000 km (6,300 to 12,500 miles) from Earth. (Satellites do not operate between LEO and MEO because of the inhospitable environment for electronic components in that area, which is caused by the Van Allen radiation belt.)

What is the formula of satellite?

As seen in the equation v = SQRT(G * Mcentral / R), the mass of the central body (earth) and the radius of the orbit affect orbital speed. The orbital radius is in turn dependent upon the height of the satellite above the earth. 2.

What is the formula of period of satellite?

T=2π√REg=2π√64×1059.8s≅85 minutes.

What is the time period of a geostationary satellite formula?

The period of a geostationary satellite is the same as the period of rotation of earth which is approximately equal to 24 hours or 1 day.

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