The time period of a planet of a star is 8 hours . What will be the time period if the separation between the planet and the star is increased to 9 times the previous value ?

Explanation

To solve the problem, we will use Kepler's Third Law of Planetary Motion, which states that the square of the time period (T) of a planet is directly proportional to the cube of the semi-major axis (r) of its orbit around a star.

### Step-by-step Solution:

1. **Understand the relationship**: According to Kepler's Third Law, we have:
\[ T^2 \propto r^3 \]
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