How did newton guess the inverse …
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Gaurav Seth 3 years, 6 months ago
Newton used Kepler's third law of planetary motion to guess how the force of gravitation of the earth is weakened by distance. Suppose a planet revolves around the sun in a circular orbit of radius r with speed v, then the force acting on the planet is given by
If T is the period of revolution of the planet around the sun, then its orbital velocity will be
This is inverse-square rule for the force of gravitation. According to this rule, the force of gravitation on a planet should decrease as the square of the distance of the planet from the sun.
Newton further showed that the gravitational force is proportional to the product of the masses of the two objects. Thus, Newton formulated the universal law of gravitation.
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