We know that
go = 9.80663 ms-2, re = 6371000 m
Go = 3.980484e14, goreGo = 1.56961e−7
g=−goe−goreGo(x)
g=−goe−1re(x)
g = -9.80665*e^((-1.56961e−7)*x)
The graph below compare the above equations with g=−Go(x+6371000)2
Nice, very nice. Here's a scale by 1000 on the x-axis version.
Very nice indeed.