Calculate The Orbital Height Of A Geostationary Satellite

P is the orbital period.

Calculate the orbital height of a geostationary satellite.

Through the use of re arranging the above equation we can come to the equation. An object s orbital altitude can be computed from its orbital period and the mass of the body it orbits using the following formula. H 4 22 10 7 6 37 10 6 3 583 10 7 m. The organic chemistry tutor 143 911 views 17 18.

To calculate the radius of a geostationary orbit the centripetal force must equal the gravitational force on the satellite or mass. A a geostationary orbit is when the satellite remains vertically above the same point on the equator at all all times and consequently has an orbital period of 24 hours. Because the radius and period are related you can use physics to calculate one if you know the other. G is the gravitational constant.

The satellite must have a period. 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. H is the altitude height of the object. 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.

We can calculate the height h above the earth s surface by subtracting the radius of the earth from the radius of the orbit. 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. 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. B calculate the height at which the satellite orbits above the surface of the earth.

Speed of a satellite in circular orbit orbital velocity period centripetal force physics problem duration. Image satellites in geostationary orbit by lookang many thanks to author of original simulation francisco esquembre author of easy java simulation francisco esquembre. The period of a satellite is the time it takes. From earth they would seem drifting in westerly direction.

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. 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. Mission control wishes to place a satellite in circular orbit above the earth.