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Perihelion Precession of Planets Orbits and the Schwinger-Binet Equation

Prerequisite Chaps. 49, 50, 53, 55

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Abstract

It is interesting that prior to Einstein’s theoretical description of the perihelion precession of planets, the existence of a planet, referred to as the Vulcan between Mercury and the Sun, was postulated by the French mathematician and astronomer, and a member of the French Academy of Sciences, Urbain Jean Joseph Le Verrier in the late 1850s.

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Notes

  1. 1.

    Le Verrier [3].

  2. 2.

    For a survey of solar system tests, see Will [5].

  3. 3.

    Schwinger [4].

  4. 4.

    See, e.g., Clemence [2]; and for Venus and the Earth, in particular, see: Biswas and Mani [1].

References

  1. Biswas, A., & Mani, K. R. S. (2008). Relativistic perihelion precession of orbits of Venus and the Earth. Central European Journal of Physics, 6, 754–758.

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  2. Clemence, G. M. (1947). The relativity effect in planetary motions. Reviews of Modern Physics, 19, 361–364.

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  3. Le Verrier, U. (1859). Sur la théorie de Mercure et sur le mouvement du périhélie de cette planète. Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris), 49, 379–383.

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  4. Schwinger, J. (1970). Particles, sources, and fields. Reading: Addison-Wesley.

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  5. Will, C. M. (2014). The confrontation between general relativity and experiment. Living Reviews in Relativity, 17, 4–117.

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Correspondence to E. B. Manoukian .

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Manoukian, E.B. (2020). Perihelion Precession of Planets Orbits and the Schwinger-Binet Equation. In: 100 Years of Fundamental Theoretical Physics in the Palm of Your Hand. Springer, Cham. https://doi.org/10.1007/978-3-030-51081-7_56

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