According to Kepler, the period of revolution | vedclass

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Question

(B) Kepler's third law of planetary motion, also known as the law of periods, states that the square of the time period of revolution $(T)$ of a p

Vedclass · Accepted Answer

$T^2 r^{-3} = 	ext{constant}$

Vedclass · Answer

(B) Kepler's third law of planetary motion, also known as the law of periods, states that the square of the time period of revolution $(T)$ of a planet is directly proportional to the cube of its semi-major axis $(r)$ of its orbit around the sun.
Mathematically, this is expressed as $T^2 \propto r^3$.
This can be rewritten as $\frac{T^2}{r^3} = 	ext{constant}$.
By using the laws of exponents, this is equivalent to $T^2 r^{-3} = 	ext{constant}$.
Therefore, the correct option is $B$.

According to Kepler, the period of revolution of a planet $(T)$ and its mean distance from the sun $(r)$ are related by the equation:

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