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 will follow a systematic approach.

### Step-by-Step Solution:

1. **Understanding Kepler's Third Law**:
Kepler's Third Law states that the square of the time period (T) of a planet's orbit is directly proportional to the cube of the semi-major axis (r) of its orbit. Mathematically, it can be expressed as:
\[
T^2 \propto r^3
...