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gravity acceleration at the height h from the ground surface

ÀÛ¼ºÀÚ Uploader : a.c.e. ÀÛ¼ºÀÏ Upload Date: 2018-09-27º¯°æÀÏ Update Date: 2018-09-28Á¶È¸¼ö View : 396

Letting the gravity acceleration at the ground surface (earth surface) (height = 0) as g, the gravity acceleration at the height h is calaulated as below.

From F = mg = GMm/R^2

g = GM/R^2  (g is proportional to 1/R^2.)

Letting the gravity acceleration at the height h as gh,

g : GM/R^2 = gh : GM/(R+h)^2

Then,

gh = (gGM/(R+h)^2)  / (GM/R^2) = g*(R/(R+h))^2 ÀÌ´Ù.


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gh = g*(R/(R+h))^2
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