The Discovery of First-Degree Relativity and the Refutation of Gamma

In pursuit of the solution to the Pioneer Anomaly, I have returned to Einstein's paper "On the Thermodynamics of Moving Bodies" (Annalen der Physik,1905)and to the book RELATIVITY (1916). I do not question the underlying theory of Special Relativity, meaning that I accept time dilation and length contraction. I assume that there must be transformation equations and that the equations of Einstein are very close to correct, due to experimental confirmation. However, in this paper I put the basic algebra under a microscope, and do a thorough analysis of Einstein's mathematical equations in both places. I show that several errors were made that subtly change the form and content of the necessary transformation equations. I show all my math, and present the corrected equations. These equations yield a tiny fractional correction to Special Relativity, and explain the greater slowing in the Pioneer Anomaly. I show, furthermore, that Einstein's equation for velocity yields two degrees of relativity. I present a velocity transform for one degree of relativity. This has never been accomplished mathematically before. This new velocity equation corrupts the famous term gamma, which I then re-calculate.