Calculate The Orbital Height Of A Geostationary Satellite

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

Calculate the orbital height of a geostationary satellite.

Through the use of re arranging the above equation we can come to the equation. The satellite must have a period. We can calculate the height h above the earth s surface by subtracting the radius of the earth from the radius of the orbit. Because the radius and period are related you can use physics to calculate one if you know the other.

The radius of the earth is 6400km and its mass is 6x10 24 kg. Speed of a satellite in circular orbit orbital velocity period centripetal force physics problem duration. 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. 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.

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. To calculate the radius of a geostationary orbit the centripetal force must equal the gravitational force on the satellite or mass. H is the altitude height of the object. From earth they would seem drifting in westerly direction.

P is the orbital period. From the relationship f centripetal f centrifugal we note that the mass of the satellite m s appears on both sides geostationary orbit is independent of the mass of the satellite. Image satellites in geostationary orbit by lookang many thanks to author of original simulation francisco esquembre author of easy java simulation francisco esquembre. G is the gravitational constant.

R orbital radius earth s equatorial radius height of the satellite above the earth surface r 6 378 km 35 780 km r 42 158 km r 4 2158 x 107 m speed. The period of a satellite is the time it takes. B calculate the height at which the satellite orbits above the surface of the earth. Mission control wishes to place a satellite in circular orbit above the earth.

H 4 22 10 7 6 37 10 6 3 583 10 7 m. When a satellite travels in a geosynchronous orbit around the earth it needs to travel at a certain orbiting radius and period to maintain this orbit. 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.