Explanation of non-shrinking orbits

This is a really excellent piece of numerical work by Horst Eckardt and shows that the rotating frame can give orbital precession and retrograde precession and many interesting results from models of frame rotation. It looks as if the relativistic m theory is needed for shrinking. In UFT192, Eq. (41), the shrinking orbit function is given. This suggests that the classical method of frame rotation gives a lot of interesting and wholly original properties but that a relativistic method is needed for orbital shrinking. The shrinking of the HT pulsar was also described in UFT106 in an early paper using a different method. The m function method was developed in papers leading up to UFT192 and could be worked in to UFT414 on which we are working now. The m function method is based on the relativistic metric for the most general spherically symmetric spacetime. So a very large number of strikingly original results have emerged from UFT413, and the shrinkage can be described relativistically in UFT414. Simple rotation of the plane polar coordinates give an amazing array of new results using the important numerical advances made by Horst over the past decade.

Explanation of non-shrinking orbits

I summarized the numerical results in a preliminary version of section 3
of UFT 413. Unfortunately there is no shrinking of orbits. The reason is
that the direction of angular motion can be reversed, leading to a
negative omega. Thus teh constant of motion is conserverd without need
for changes in radius. Obviously we have overlooked this possibility. We
will have to discuss how to proceed with this result. I think that the
numerical solution is reliable.

Horst

paper413-3.pdf


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