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What is propportional to the orbital period of a planet revoling around the sun?

Asked by reenabhartintpc001 13th March 2018, 3:26 PM
Answered by Expert
Answer:
One of the kepler laws is known as the law of periods. This law states that the square of the period of any planet is proportional to the cube of semi major axis of its orbit.
Mathematically it is written as given below
begin mathsize 12px style T squared equals fraction numerator 4 pi squared over denominator G M end fraction a cubed end style
Where T is the orbital period, G is gravitational constant, M is mass of planet and a is semi-major axis.
 
Hence we can say that the orbital period of the planet revolving around the sun is proportional to (3/2)th power of semi-major axis of the orbit of the planet
 
begin mathsize 14px style T space proportional to space a to the power of bevelled 3 over 2 end exponent end style
Answered by Expert 13th March 2018, 10:24 PM
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Tags: keplers-laws
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