Can you find the mass of sun without weighing?

Explanation

To find the mass of the Sun without weighing it, we can use Kepler's Third Law of planetary motion, which relates the orbital radius of a planet to its orbital period. Here is a step-by-step solution:

### Step 1: Understand Kepler's Third Law
Kepler's Third Law states that the square of the orbital period (T) of a planet is directly proportional to the cube of the semi-major axis (r) of its orbit around the Sun. The formula can be expressed as:
\[ M = \frac{4 \pi^2 r^3}{G T^2} \]
where:
- \( M \) is the mass of the Sun,
- \( r \) is the orbital radius of the Earth,
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