Question

Write the three laws given by Kepler How did they help Newton to arrive at the inverse square law of gravity?​

Answer 1

Answer:

Kepler's third law of planetary motion was used by Newton 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 the inverse-square law of gravitaion, 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.Read more on Sarthaks.com - https://www.sarthaks.com/869554/how-did-newton-guess-the-inverse-square-rule

Answer 2

In Newton's Principia it was demonstrated that Kepler's first law- the planets follow elliptical orbits, with the sun at a focus- implies that gravity follows an 'inverse-square law', under the assumption that it is a an attrac- tive central force directed along a line from the planet to the Sun (that is, towards the ...