If a planet was suddenly stopped in its orbit supposed to be circular, show that it would fall onto the sun in a time `sqrt(2)/(8)` times the period of the plant's revolution.

Explanation

To solve the problem of how long it would take for a planet to fall into the Sun if it were suddenly stopped in its circular orbit, we can follow these steps:

### Step 1: Understand the Initial Conditions
The planet is initially in a circular orbit around the Sun with a radius \( r \) and a period \( T \). When the planet is stopped, it no longer has the centripetal force required to maintain its circular motion and will begin to fall directly towards the Sun.

**Hint:** Remember that the gravitational force provides the necessary centripetal force for circular motion.

### Step 2: Use Kepler's Third Law
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