Gravity follows an inverse square law. This means that if you double the distance from the center of mass, the gravitational force will be reduced to one-fourth its original strength.

Here's why:

* Newton's Law of Universal Gravitation: The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically:

F = G * (m1 * m2) / r^2

Where:

* F is the force of gravity

* G is the gravitational constant

* m1 and m2 are the masses of the two objects

* r is the distance between their centers

* Doubling the distance: If you double the distance (r), you are essentially squaring the distance (r^2). Since the force is inversely proportional to the square of the distance, doubling the distance results in a force that is 1/2^2 = 1/4 the original strength.