Newtonian mechanics
According to classical mechanics, between two or more masses (or other forms of energy–momentum) a gravitational potential energy exists. Conservation of energy requires that this gravitational field energy is always negative.[2]
Particularly, between any two point masses and
(this works for the spherical bodies also), there always exists a gravitational force of
where r is the distance between their centers. Increasing the distance from
to
reduces the force, but, since forces in Newton mechanics indicate how much potential energy is lost over space,
, this separation requires
of energy. Performing positive work equal to E units of energy, we can recede objects from r0 to r1 special units apart. By performing positive work equal to
, the second term vanishes and objects are infinitely separated (
). Because gravitational force stops pulling objects together at that distance,
is known as gravitational binding energy, which is infinite at
since the gravitational force is infinite there[citation needed].
![m2pack.biz](https://xn--mgbaaebccr4cxezfcdfg0g.com/storage/2023/10/m2pack.com_2.jpg)