The seasonal variation of the Newtonian constant of gravitation and its relationship with the 'classical tests' of general relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Annual Variations, Constants, Examination, Gravitation, Newton, Relativity, Aphelions, Differences, Estimates, Perihelions, Red Shift

Scientific paper

The ratio between the Earth's perihelion advance (DELTA theta) E and the solar gravitational red shift (GRS) (DELTA phi sE A (sub o) / c2 has been rewritten using the assumption that the Newtonian constant of gravitation G varies seasonally and is given by the relationship, first found by Gasanalizade (1992b) for an aphelion-perihelion difference of (DELTA G) a-p. It is concluded that (DELTA theta) E = (3 pi/e) ((DELTA phi sE) A (sub o) / c2) x ((DELTA G) a-p / G o) = 0.038388 seconds of arc revolution, ((DELTA G) a-p / G o) = (e/3 pi) DELTA theta)E/ ((DELTA phi sE) A (sub o) / c 2)) = 1.56116 x 10 -4. The results obtained here can be readily understood by using the Parameterized Post-Newtonian (PPN) formalism, which predicts an anisotropy in the 'locally measured' value of G, and without conflicting with the general relativity.

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