363(3) : The Effect of Fluid Spacetime on the Inverse Square Law

The rigorous result is that the fluid spacetime, vacuum or aether produces new fundamental accelerations in classical dynamics, defined by Eq. (15). These augment the centrifugal and Coriolis accelerations in every situation in classical dynamics, so can be looked for experimentally. In orbital theory the Hooke Newton inverse square law is changed. In an excellent approximation it becomes Eq. (22) which can be graphed by computer algebra in terms of r. The usual radial component of the Newtonian result is changed and there appears a component in e sub theta which is not present at all in Newtonian theory. This is the approximate force law responsible for a precessing orbit. The rigorous force law for any planar orbit is given by Eq (15). My ancestral cousin John Aubrey F.R.S. (attached genealogy) was an antiquarian and wrote “Brief Lives” (online) which describes how his friend Robert Hooke was the discoverer of the inverse square law for an elliptical orbit, and not Isaac Newton. However, neither Robert Hooke nor John Aubrey could prove that the inverse square law gives an elliptical orbit. The proof was apparently carried out by Newton from 1665 to 1687, but this seems dubious to me because Newton obviously did not know of the 1835 centrifugal and Coriolis accelerations. In 1689 Leibnitz accidentally stumbled on the centrifugal acceleration, but did not prove it. So as usual, physics history is a bit of a pig’s breakfast – semi mythological. On the other hand the genealogy is very accurate, based on source documents for every generation, cross checked between many genealogists.



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