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Question
Kepler's third law states that square of period of revoluation (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e. T2 = Kr3 here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is F = ${{GMm} \over {{r^2}}}$, here G is gravitational constant. The relation between G and K is described as
K = G
K = ${1 \over G}$
GK = 4$\pi $2
GMK = 4$\pi $2

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