Newton's law of motion and Universal law of gravitation are different.
In order to complete his study of the motion of the planets, Newton had to combine his general Laws of Motion with a specific description of the force of gravity.
Gravity is relatively weak because of the small value of the gravitation constant G; in metric units,
By combining the Law of Gravitation with his Laws of Motion, Newton was able to mathematically derive all three of Kepler's law.
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