Question

How does kepler law help newton to arrive at the inverse square law of gravity?

Answer 1

For a uniform circular orbit of radius r, the acceleration is

a = ω2r, ω = 2π/T________(A)

where T is the orbital period. Comparing eq. (A) with Kepler's third law

T2 ∝ r3______________(B)

we conclude that the gravitational acceleration

a ∝ r−2________________(C)

is proportional to the inverse square distance r

Answer 2

Kepler law help Newton to arrive at the inverse square law of gravity

Explanation:

Johannes Kepler studied about the planets motion and their positions and. ... Kepler's Third law: The Square of its period of revolution around the Sun is directly proportional to the cube of the mean distance of a planet from the Sun. Have a look on attachment