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If you have a known rate of acceleration and radius (such as at the earths surface), you can use the following equation to calculate the acceleration at another radius.

a = k / ((d / r)^2)

key:

a = new acceleration rate ((m/s)/s)

d = new radius (metres)

k = known acceleration rate ((m/s)/s)

r = known radius (metres)

so if:

d = 9 000 000 metres

k = 9.82 (m/s)/s (acceleration at earths surface)

r = 6 371 000 metres (radius at earths surface)

then:

a = 4.92 (m/s)/s

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