In a double star system, two stars of masses `m_1` and `m_2` separated by a distance `x` rotate about their centre of mass. Find the common angular velocity and Time period of revolution.

Explanation

To solve the problem of finding the common angular velocity and time period of revolution for two stars in a double star system, we can follow these steps:

### Step-by-Step Solution

1. **Understanding the System**:
We have two stars with masses \( m_1 \) and \( m_2 \) separated by a distance \( x \). They rotate around their center of mass.

2. **Finding the Center of Mass**:
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