How Newton proved the Universal law of Gravitation using Kepler's law of planetary motion..??
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This is precisely the form of the gravitational force, with the universal gravitational constant G as the constant of proportionality.
Thus, Newton's laws of motion, with a gravitational force used in the 2nd Law, imply Kepler's Laws, and the planets obey the same laws of motion as objects on the surface of the Earth!
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