Newton and Kepler laws.pdf - Newton's law of universal gravitation and Kepler's third law In our earlier article\\Conic sections and Newton's law of

Newton and Kepler laws.pdf - Newton's law of universal...

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Newton's law of universal gravitation and Kepler's third law In our earlier article \Conic sections and Newton's law of gravity," we brie y mentioned that Newton's law of gravity properly explains Kepler's rst law. In this article, we will see how it can explain Kepler's third law. Newton's law of gravity asserts that there are universal attractive force between any two massive bodies. If the mass of each body is m 1 and m 2 , and the distance between them r , the force is given as follows: F = Gm 1 m 2 r 2 (1) Here G is a proportionality constant called \Newton's constant." Notice also that this is the force that the rst object attracts the second object as much as the force that the second object attracts the rst object in light of Newton's third law. This force is responsible for
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objects on Earth such as apples falling downward. On the other hand, the apples attract the Earth by the same amount of force, but this attraction is practically negligible since Earth is
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