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Q. 30

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 354

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Short Answer

An earth satellite moves in a circular orbit at a speed of . What is its orbital period?

The orbital period is

See the step by step solution

Step by Step Solution

Step 1 : Given information

Speed of orbiting =

Step 2 : Calculation

The centripetal acceleration required for circular motion of satellite is provided by the gravitational force between the satellite and the earth, therefore :

Here, is the mass of earth, is the mass of satellite, G is the gravitational constant, r is the radius of the orbit.

Now solving we get,

Orbital period T is given by according to Kepler's Law :

Therefore, time period =

Step 3 : Final answer

The orbital period is

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