Abstract
We presented a phenomenological mode that attributes the precession of perihelion of planets to the relativistic correction. This modifies Newton’s equation by adding an inversely cube term with distance. The total energy of the new system is found to be the same as the Newtonian one. Moreover, we have deduced the deflection of light formula from Rutherford scattering. The relativistic term can be accounted for quantum correction of the gravitational potential and/or self energy of objects.
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References
Will, C.M.: Theory and Experiment in Gravitational Physics. Cambridge University Press, Cambridge (1993)
Hartle, J.B.: An introduction to Einstein’s General Relativity. Pearson Education, Singapore (2003)
Bradbury, T.C.: Theoretical Mechanics. Wiley, New York (1968)
Sivardiere, J.: Eur. Phys. 7, 283 (1986)
Hulse, R.A., Taylor, J.H.: Astrophys J. 195, L51 (1975)
Eddington, A.S.: Space, Time and Gravitation. Cambridge University Press, Cambridge (1987)
Arbab, A.I.: On the analogy between the electrodynamics and hydrodynamics using quaternions. In: The 14th International Conference on Modelling Fluid Flow (CMFF’09), Budapest, Hungary, 9–12 September 2009 (2009, to appear)
Arbab, A.I.: Gen. Relativ. Gravit. 36(11), 2465 (2004)
Arbab, A.I.: Afr. J. Math. Phys. 2(1), 1 (2005)
Anderson, J.D., et al.: Study of the anomalous acceleration of Pioneer 10 and 11. Phys. Rev. D 65, 082004 (2002)
Berman, M.S.: Astrophys. Space Sci. 312, 275 (2007)
Casimir, H.B.G.: On the attraction between two perfectly conducting plates. Proc. K. Ned. Akad. Wet. B 51(7), 793 (1948)
Lamoreaux, S.K.: Demonstration of the Casimir force in the 0.6 to 6 μm range. Phys. Rev. Lett. 78, 5 (1997)
Nesvizhevsky, V., et al.: Quantum states of neutrons in the Earth’s gravitational field. Nature 415, 297 (2002)
Bowles, T.J.: Quantum effects of gravity. Nature 415, 267 (2002)
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Arbab, A.I. A phenomenological model for the precession of planets and bending of light. Astrophys Space Sci 325, 41–45 (2010). https://doi.org/10.1007/s10509-009-0146-z
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DOI: https://doi.org/10.1007/s10509-009-0146-z