Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e., T^2 = Kr^3 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/r^2 here G is gravitational constant. The relation between G and K is described as - VgyanHub

Question:

Kepler’s third law states that square of period of revolution (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/r² here G is gravitational constant. The relation between G and K is described as

Options :

(a) GML=4π^2
(b) K=G
(c) K=1/G
(d) GK=4π^2

Answer :

(a) GML=4π²

Answer Steps :

step 1

step 2

step 3

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