A planet moves around the sun (mass 
) in an elliptical orbit such that its minimum and maximum distance from the sun are r and R respectively. The period of revolution of this planet around the sun is
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The length of the semi-major axis of the elliptical orbit of the planet is 
If we assume that there is a hypothetical planet which moves around the sun in a circular orbit of radius 
, then the time period of this hypothetical planet and our given planet will be same. The time period of a planet around the sun in circular orbit is
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