Height Of Geostationary Satellite Formula

A minimum of three satellites are needed to cover the entire earth super synchronous orbit is a disposal storage orbit above gso.

Height of geostationary satellite formula.

So the height of the satellite is 3 59 x 10 7 m. Into the equation 2 and we get. Through the use of re arranging the above equation we can come to the equation. H 4.

The height of a geostationary orbit is calculated as the distance required to have an orbital period of 24 hours. From earth they would seem drifting in westerly direction. Shows how to calculate the orbital height of a satellite above the surface of the earth. A geostationary orbit also referred to as a geosynchronous equatorial orbit geo is a circular geosynchronous orbit 35 786 kilometres 22 236 miles above earth s equator and following the direction of earth s rotation.

The height of the geostationary orbit is 35786 kilometers above earth in geostationary orbit the satellite moves with an orbital speed of 11068 km per hours. The radius of the earth is 6 37 10 6 m. The equation for orbital height is derived from newton s second law. We can calculate the height h above the earth s surface by subtracting the radius of the earth from the radius of the orbit.

4 23 x 10 7 m 6 37 x 10 6 m 3 59 x 10 7 m. To calculate the radius of a geostationary orbit the centripetal force must equal the gravitational force on the satellite or mass. R g m2 t 4π we know that m2 is the mass of the earth at 5 98 10 24 kg t is the time period and g the universal gravitation constant at 6 67 x10 11 kg 2. The force of gravity acting on a satellite is given by the formula f gmm r 2.

The equation assumes that the satellite is high enough off the ground that it orbits out of the atmosphere. Enter your latitude and longitude and our geostationary satellite calculator will compute the satellite elevation azimuth and range from each satellite to your position. An object in such an orbit has an orbital period equal to the earth s rotational period one sidereal day and so to ground observers it appears motionless in a fixed. Where g 6 67384m 3 kg s 2 is the gravitational constant m 5 972 10 24kg is the mass of the earth m is the mass of the satellite and r is the distance from the centre if the earth to the satellite.

Now that the radius of orbit has been found the height above the earth can be calculated. Above the surface of the earth.