Question

State Keepler’s third law and derive mathematically to obtain constant

Answer 1

Kepler's third law can be derived from Newton's laws of motion and the universal law of gravitation. Set the force of gravity equal to the centripetal force. After substituting an expression for the velocity of the planet, one can obtain: GMr=4πr2P2 which can also be written P2=4π2a3GM.

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