A satellite is put in a circular orbit about Earth with a radius equal to two-thirds the radius of the Moon's orbit. What is its period of revolution in lunar months? (A lunar month is the period of revolution of the Moon)

Explanation

To solve the problem of finding the period of revolution of a satellite in lunar months, we can follow these steps:

### Step 1: Understand the relationship between the periods and radii of orbits
According to Kepler's Third Law of Planetary Motion, the square of the period of revolution (T) of a satellite is directly proportional to the cube of the radius (R) of its orbit. This can be mathematically expressed as:

\[ T^2 \propto R^3 \]
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