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Variation of g with distance from the centre
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Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by:
Linear inside, $1/r^2$ outside.
$g = \left(\frac{GM_e}{R_e^3}\right)r$ for $0 < r \le R_e$ (increases linearly)
$g = \frac{GM_e}{r^2}$ for $r \ge R_e$ (decreases as $1/r^2$)