Communications satellites are placed in circular orbits where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is 3.58 × 107 m (≈ 22,000 miles).
a. What is the period of a satellite in a geosynchronous orbit?
b. Find the value of g at this altitude.
c. What is the weight of a 2000 kg satellite in a geosynchronous orbit?
Step 1 of 3</p>
A geosynchronous satellite takes 24 hours to orbit once around the Earth. This is the same as the Earth takes to complete one rotation about its axis.
Step 2 of 3</p>
The height of a geosynchronous satellite from the surface of the Earth is approximately m.
The radius of Earth is 6370 km or m.
Therefore, the height of a geosynchronous satellite from the center of the Earth is,
The value of at this altitude is nothing but the centripetal acceleration.