eng Science and Education Publishing International Journal of Physics 2333-4576 2015-05-21 3 4 139 149 10.12691/ijp-3-4-1 IJP2015341 article Sandro Antonelli antonelli41@live.it 1 51A, S.P. 57, Accesso a M., 03017 Morolo Italy The need of extending the theory of relativity has led M.Tailherer to the hypothesis of a new fundamental equation and constant, embodying in a unique wave equation for the graviton the link between gradient of curvature and deformation of metric. As direct continuation of a preceding work, here a new assessment of the constant S in the Vortex Theory of gravitation is given in a more direct approach than 1st approximation yielding S =(2.5±1.2)E-19 m-1. Issues are concerned fitting by Maple four binary systems data, also allowing to assign a meaningful inertial mass to the graviton (5.5±2.6)E-61 Kg confirming known heuristic bounding. In Appendix an easy way of getting the vortex's gradient formula is shown along with the whole action of the model and the description of the tide effect on a test mass with respect to a x polarized gravitational wave in the case of an asymmetric source. http://pubs.sciepub.com/ijp/3/4/1/ijp-3-4-1.pdf Alternative theories to General Relativity (TGR) Gravitational waves Vorticity Tensor Binary Star Systems massive gravity PACS 0430