Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by
Explanation:
$g_{in} = g_o\dfrac{r}{R}$ g0 is g at surface
$g_{in} = g_o\left(\dfrac{R^2}{r^2}\right)$
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A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earths surface, is