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Relativistic Equations' Contrast

2010 
This paper postulates a metric that solves differential equations contained in the Einstein’s contracted tensor or Riemann-Christoffel’s tensor, its solution provides differential equations represented for geodesics, whose solution in turn, is reduced to a relativistic equation able to describe planetary motion in the continuum spacetime. Given the results, it is concluded that the postulated metric as well as the proposed equation describing an arbitrary starting anomaly in elliptical orbit of a gigantic mass, such as a planet, provide evidence of a close link between Classical Newtonian Mechanics and Einstein’s Relativity General. Even more, the relativistic equation obtained here, provides a mean to measure the movement of the semi-parameter of a conic section with respect to the true anomaly associated with an elliptical orbit of a gigantic mass. The slow rate of rotation of the semimajor axis is calculated, it is noted to be approximately the predicted value in Einstein’s theory of relativity, this corroborates that a gigantic mass drags space and time around itself when it rotates.
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