\({g}_{o}\) = 9.80663 ms-2, \({r}_{e}\) = 6371000 m
\({G}_{o}\) = 3.980484e14, \(\cfrac{{g}_{o}{r}_{e}}{{G}_{o}}\) = 1.56961e−7
\(g=-{g}_{o}{e}^{-\cfrac{{g}_{o}{r}_{e}}{{G}_{o}}(x)}\)
\(g=-{g}_{o}{e}^{-\cfrac{1}{{r}_{e}}(x)}\)
\(g\) = -9.80665*e^((-1.56961e−7)*x)
The graph below compare the above equations with \(g = -\cfrac{{G}_{o}}{{(x+6371000)}^{2}}\)
Nice, very nice. Here's a scale by 1000 on the x-axis version.
Very nice indeed.
