Is it possible to find how gravity changes with time? That is, height is not part of the equation.
For example, $g$ can be expressed as a function of height that does not involve time with this relation:
$g_i=g_0 (r /(r+h))^2$
where $g_i$ is $g$ at any height and $g_0$ is on the Earth's surface.
I also found through the above relation that $g_i = g_{i-1} ((r+h_{i-1})/(r+h_i))^2$
By the same token, there should be a relation between $g_0, g_i, t$ that does not involve distances. An object in free fall will be going through changes in $g$ as time progresses. Is it possible to create such an expression?
