Simulation model for shapiro time delay and light deflection experiments

Abhijit Biswas 1  and Krishnan Mani 1
  • 1 Department of Physics, Godoy Center for Scientific Research, 700 008, Calcutta, India

Abstract

The time delay experiment proposed by I.I. Shapiro in 1964 and conducted in the seventies was the most precise experiment of general relativity until that time. Further experimentation has improved the accuracy level of both the time delay and the light deflection experiments. A simulation model is proposed that involves only a simple mass and time transformation factor involving velocity of light. The light deflection and the time delay experiments are numerically simulated using this model that does not use the general relativistic equations. The computed values presented in this paper compare well with recent levels of accuracy of their respective experimental results.

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  • [1] C.M. Will:Was Einstein Right? Putting General Relativity to the Test, Oxford University Press, Oxford, 1988.

  • [2] C.M. Will: “The Confrontation between General Relativity and Experiment”, In: A 1998 update:Gravity from the Hubble length to the Planck length. Proceedings of the XXVI SLAC Summer Institute on Particle Physics, SLAC, Stanford, California, 1998, pp. 15–54.

  • [3] C.M. Will:Theory and Experiment in Gravitational Physics, 2nd Ed., Cambridge University Press, Cambridge, 1993.

  • [4] C.W. Gear: “The Automatic Integration of Ordinary Differential Equations”, Comm. of the ACM, Vol. 14, (1971), pp. 176–179 http://dx.doi.org/10.1145/362566.362571

  • [5] T.D. Moyer: “Mathematical Formulation of the Double-Precision Orbit Determination Program”, In:Jet Propulsion Laboratory Tech. Rept., No. 32-1527, Pasadena, 1971.

  • [6] X.X. Newhall, E.M. Standish and J.G. Williams: “DE102: a numerically integrated ephemeris of the Moon and planets spanning fortyfour centuries”, Astron. Astrophys., Vol. 125, (1983), pp. 150–167.

  • [7] E.M. Standish: “Time scales in the JPL and CfA Ephemerides”, In:Jet Propulsion Laboratory Report, JPL 301-150, Pasadena, CA 91109.

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