This paper presents an analytical solution to the geometry of large rotating systems which reconciles the peculiar rotation profiles of distant galaxies with Einstein's principle of General Relativity. The resulting mathematical solution shows that large rotating systems are distorted in the space of a non-rotating observer into a spiral pattern with tangential velocities that behave in agreement with those observed in distant galaxies. This paper also demonstrates how the scale of the spiral structure of rotating systems can be used to determine its distance from the observer. The authors' proposed equations for the rotation profile and the distance measure are compared with the observed rotation profiles and Cepheid distance measurements of several galaxies with strong agreement. A formal error analysis is not included however the authors suggest a method for better qualifying the accuracy of the theorums.
Comments: 28 pages. This submission is a revised version of the paper appearing in the Proceedings of the 2011 Western Conference of the Society of Amateur Radio Astronomers.
[v1] 8 Apr 2011
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