Quote:
Originally Posted by bojan
Could you please explain this in more detail ?
I don't get it how the distance can vary with density of the large mass only. 
(unless this applies to a total mass)
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Mathematically if the large mass is very much greater than the small mass you can disregard the effects of the smaller mass.
For example the small mass is in the gravitational well of the larger mass, not around the other way.
The density of the large mass determines the depth of the well.
So if you shrunk the Earth down to a certain size, even though the mass remains the same, the gravitational well is deeper for the small mass to reside in. It would require more energy to get out of the well.
Regards
Steven