An artificial satellite in a circular orbit around the Sun has a period of 8 years. Determine the ratio of the satellite's orbital radius to that of the earth's orbital radius. Assume that the earth's orbit around the Sun is circular.

The ratio is  

Explanation:

From the question we are told that

   The period of the satellite is  

Generally the period of earth around the sun is

Generally from Kepler's third law , which is mathematically represented as

Here   is the radius of the orbit which the satellite rotate around the sun

          is the radius of the orbit which the earth rotate around the sun

=>  

=>        

=>        

=>  

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