- #1

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This should be based on average density and it can be also some approximation, without calculating minor effects like rotation, planet bulge, relativity and so on.

So it should look like this:

g= G*M*d*X

where

g – gravitational acceleration on the surface of planet

G – gravitational constant

M – mass of planet (in kg)

d - average density of planet (in kg/m3)

X – missing link which I wasnt able to derive

Important thing is, that Im trying to get rid of radius of planet and use only density, not sure if it is possible.

Similar topics, which I looked in, but wasnt able to find there what I need:

https://www.physicsforums.com/threads/gravity-as-function-of-density.521163/

https://en.wikipedia.org/wiki/Gauss's_law_for_gravity#Differential_form