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A Redetermination of the Newtonian Constant of Gravitation
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Therefore different configurations of the gravitating masses produce different gravitational acceleration and force for the same GR values of the masses with the same GR center to center separations. Any deviations or discrepancies from the correct value can only be due to measurement errors and inaccuracies. Consider two measurement alternatives both having the same masses acting and the same GR separation distance between the centers of those masses, but the configurations of the MN interacting particles making up the masses are different.
For example, alternative 1 is two spheres whereas alternative 2 is two cylinders. But regardless of the GR thinking, the actual measurements will be different because it is the MN gravitational action that operates, always. The particle-to-particle separation distance in their 3-dimensional space is determined from the 3-dimensional Law of Pythagoras.
The components of this gravitational action that are perpendicular to the center-to-center line have no net effect because over all of the particle-to-particle interactions and the symmetry of the configuration they cancel out. Only the component of the gravitational action between two particles that is parallel to the center-to-center line is effective gravitation. That component is evaluated by projecting the 3-dimensional line of each particle-to-particle interaction onto the center-to- center line.
The average of the accumulation of all of these [MN] particle-to-particle results is then compared to the corresponding [GR] center-to-center results.
The objects are deemed monolithic solids of purely one kind of particle. The particles are expressed in terms of a set of 3-dimensioning axes: x, y, and z.