You are given two locations - X and Y - in the space surrounding a planet. The g value for Location X is given. You must determine the g value for Location Y. Doing so demands that you use the inverse square relationship between gravitational field strength and distance. The inverse part of inverse square means that as the distance from the planet's center gets larger the g value gets smaller. So further distances have smaller g values. The square part of inverse square means that the g value varies with the square of the distance. And so for a twice-as-far-away location, the g value is one-fourth as much. And for a three-times-as-far-away location, the g value is one-ninth as much. And for a four-times-as-far-away location, the g value is 1/16-th as much.
Applying the Inverse Square Law
Now you must apply the inverse square law discussed in the previous paragraph. In the example given above (see About This Question), Location X is two times further from the planet's center than Location Y. You can determine this distance ratio by observing the concentric circles drawn about the planet's center. Location X is on the third circle; we'd call this a distance of 3•R. Location Y is on the first circle or planet's surface; we'd call this a distance of 1•R. Being one-third as far away, the g value of Location Y is nine times the g value of Location X. So multiply the g value of Location X by 9.0 to determine the g value of Location Y.