Need help with reversal of a calculation involving gravitational constant.

Edwin576

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Dec 9, 2017
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Hi.

I would like to know if it is possible to "reverse engineer" the formula below to find (G) if Ve, M and r are all known values.

Ve = sqrt(2GM/r)

Ve would be escape velocity, G would be gravitational constant, M would be mass of planet and r would be radius of planet.

I hope I am explaining myself correctly here. :confused:

In other words how would I go about reversing the formula Ve = sqrt(2GM/r) so that is begins with G =

Kind Regards
Edwin.
 
Hi.

I would like to know if it is possible to "reverse engineer" the formula below to find (G) if Ve, M and r are all known values.

Ve = sqrt(2GM/r)

Ve would be escape velocity, G would be gravitational constant, M would be mass of planet and r would be radius of planet.

I hope I am explaining myself correctly here. :confused:

In other words how would I go about reversing the formula Ve = sqrt(2GM/r) so that is begins with G =

Kind Regards
Edwin.

Start with - squaring both sides:

\(\displaystyle [V_e]^2 \ = \ \dfrac{2GM}{r}\)

and continue...
 
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