Deduce the law of gravitation from Kepler’s laws of planetary motion

Explanation

To deduce the law of gravitation from Kepler’s laws of planetary motion, we can follow these steps:

### Step 1: Understanding the Motion of a Planet
Assume a planet of mass \( m \) is revolving around the Sun (mass \( M \)) in a circular orbit of radius \( r \) with a velocity \( v \). The time period of revolution is \( T \).

### Step 2: Centripetal Force
The centripetal force required to keep the planet in circular motion is given by:
\[
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