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 square=K*(r)cube
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 square, here G is gravitational constant
The relation between G and K is described as
Asked by keshavanburajan
18th October 2018,
8:26 AM
Answered by Expert
Answer:
When the planet revolving around the sun in an elliptical orbit, centripetal force is provided by gravitational attractive force.
Hence 
where G is gravitational constant, M is mass of sun, m is mass of planet, R is the mean distance between planet and sun
and ω is the angular speed.
Let T be the time period of revolution. If we substitute ω = 2π/T in eqn.(1) and rearrange the terns we get,
Hence we get 
.................................(3)
.................................(3)
Answered by Expert
18th October 2018,
10:15 AM
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