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Saturday, April 26, 2014

Gravity around a Black Hole

The actual gravity of such a black hole is,

g=Go(x+reo)2

geo=Gor2eo = -3.980484e14/(0.00886)^2 = -5.07071e18 ms-2

And the corresponding gravity equation is,

g=geoegeoreoGo(x)=geoe1reo(x)

g = -(5.07071e18)*e^(-112.86690*x)


This graph of g = -(5.07071*10^18)*e^(-112.86690*x) has been scaled in the x-axis by 11000 and in the y-axis by 1014.  But it is still possible to calculate from the formula xe when g=go around a black hole.

9.80665 = (5.07071*10^18)*e^(-112.86690*xe)

xe =  ln((5.07071*10^18)/9.80665)/112.86690 = 0.3613 m.