"A comparison of the diameters of the Earth and the Moon show the former has as diameter of 12,742 km (7,918 mi) and the latter has a diameter of only 3,476 km (2,160 mi).
Which equates into even less gravity pull and more reason to avoid a LEM imbalance of any kind.
If two spheres have the same density and radii in the ratio of 1/2, what is the ratio of their masses?
Our only way to find out the weight difference is to weigh one earth pound on the moon - actually observe the difference, not calculate or equate it..
No, we have one other way - apply physics which has been known for more than three centuries and is used routinely all around the world. The calculation you are referring to is routinely done in high school physics classes.
The formula is W = G m1 m2 /r^2
where G is the Cavendish gravitational constant, m1 and m2 are the mass of the object being weighed and of the planet, and r is the distance between the center of mass of the object being weighed and the center of the planet.
Are you now claiming that physics doesn't work? By the way, you never answered my question.