The reason is because that's how gravity behaves.
Furthermore and in addition, if you take a big yellow legal pad and a bunch of
#2 pencils, and play with the hypothesis that closed orbits are the result of the
mutual attractive force of a gravitational field, you discover that if the effect of
the distance on the gravitational force is anything different from 1/D2, then
closed orbits are impossible.
Since we see closed orbits all around us, in the solar system and elsewhere,
we either have to accept the inverse-square law of gravity, or else we have to
toss the whole theory of gravity and find something else.
Chat with our AI personalities
-- take the difference between the 'x' values of the two points; square it -- take the difference between the 'y' vales of the two points; square it -- add the two squares together -- take the square root of the sum The result is the distance between the two points.
Zero. Square feet are a measure of area. A yard is a measure of length/distance.
-- Square the difference between their 'x'-values. -- Square the difference between their 'y'-values. -- Add the two squares. -- Take the square-root of the sum. The result is the distance between the points.
The idea is to use the Pythagorean theorem: take the square root of (square of the difference in x-coordinates + square of the difference in y-coordiantes).
You take the two endpoints of a line segment, and use the distance formula on it. The distance formula is the square root of (x1-x1)2 + (y1-y2)2