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The problem lies in writing the expression for relative velocity correctly.

Velocity of geostationary satellite with respect to earth in m s. There are two main reference frames centered on the earth. The equation assumes that the satellite is high enough off the ground that it orbits out of the atmosphere. About 10 800 km hour if you. Circular orbit above the earth s equator and following the direction of the earth s rotation two geostationary satellites in the same orbit a 5 6 view of a part of the geostationary belt showing several geostationary satellites.

In this case you add the distance from the center of the earth to the surface of the earth 6 38 10 6 meters to the satellite s height above the earth. The geostationary orbit is a circular orbit directly above the earth s equator. How high above the earth s surface must the geostationary satellite be placed into orbit. Add to that the radius of the earth and you get a radius of 42164km for the orbit.

The satellite in mars geostationary orbit must be 17005 kilometers above the surface of the planet and it must be travelling at a speed of 1446 m s. You need to know that the centripetal force exerted on an object in circular motion is f c m 2v 2 r. Earth s escape velocity is much greater than what s required to place an earth satellite in orbit. The distance travelled is exactly the circumference.

If you mean with respect to the center of the earth in an inertial rotational frame eci of epoch reference frame then about 3 km per second. A geostationary satellite is a satellite in geostationary orbit with an orbital period the same as the earth s rotation period. If the geostationary satellite is stationary in the observer s frame on earth which it actually is then it s relative velocity will be zero. To calculate the necessary altitude and velocity needed for a geosynchronous orbit of any planet you must use a few relationships.

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. The observer s frame is a. 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 of the satellite is 3 0754 x 103 m s. A rocket must accelerate to at least 25 039 mph 40 320 kph to completely escape earth s gravity and fly off into space for more on escape velocity visit this article at nasa.

A geostationary satellite sits at an altitude of 35786km above the earth s equator.

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