Astrophysics and Space Science

, Volume 211, Issue 2, pp 233–240 | Cite as

The seasonal variation of the newtonian constant of gravitation and its relationship with the “classical tests” of general relativity

  • Asger G. Gasanalizade


The ratio between the Earth's perihelion advance (Δθ) E and the solar gravitational red shift (GRS) (Δø s e)a0/c2 has been rewritten using the assumption that the Newtonian constant of gravitationG varies seasonally and is given by the relationship, first found by Gasanalizade (1992b) for an aphelion-perihelion difference of (ΔG)a−p. It is concluded that
$$\begin{gathered} (\Delta \theta )_E = \frac{{3\pi }}{e}\frac{{(\Delta \phi _{sE} )_{A_0 } }}{{c^2 }}\frac{{(\Delta G)_{a - p} }}{{G_0 }} = 0.038388 \sec {\text{onds}} {\text{of}} {\text{arc}} {\text{per}} {\text{revolution,}} \hfill \\ \frac{{(\Delta G)_{a - p} }}{{G_0 }} = \frac{e}{{3\pi }}\frac{{(\Delta \theta )_E }}{{(\Delta \phi _{sE} )_{A_0 } /c^2 }} = 1.56116 \times 10^{ - 4} . \hfill \\ \end{gathered} $$

The results obtained here can be readily understood by using the Parametrized Post-Newtonian (PPN) formalism, which predicts an anisotropy in the “locally measured” value ofG, and without conflicting with the general relativity.


Anisotropy General Relativity Seasonal Variation Classical Test Newtonian Constant 
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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Asger G. Gasanalizade
    • 1
  1. 1.Shemakha Astrophysical ObservatoryAcademy of Sciences of the Azerbaijan RepublicShemhkha, PirkuliAzerbaijan

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