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Abstract
We presenta detailed description of the analytical solution dueto Damour & Deruelle in oruer to resolve the differential equation of the post-Newtonian two body problem. It 's shown the re lationship between the constants of motion and the so called post-Newtonian orbital elements, which are reduced to the classical orbital elements when e ➔ oo. The Sun-Mercury system is used to study the accuracy of the solution. The results are compared with those obtained through a direct numerical integration of the equations of motion. It's found that the D&D solution describes, with a high degree of accuracy, the motion of Mercury compared with that obtained with the direct numerical integration.
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