A satellite orbits the earth near its surface. By what amount does the satellite's clock fall behind the earth's clock in one revolution ? Assume that nonrelativistic analysis can be made to compute the speed of the satellite and only the time dialtion is to be taken into account for calculation of clock speeds.

Explanation

To solve the problem of how much the satellite's clock falls behind the Earth's clock in one revolution, we will follow these steps:

### Step 1: Calculate the speed of the satellite
The gravitational force acting on the satellite provides the centripetal force required for circular motion. Therefore, we can equate the gravitational force to the centripetal force:

\[ \frac{GMm}{r^2} = \frac{mv^2}{r} \]
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