Hypothesis of variable G and the secular accelerations of the sun and the moon

Details Hypothesis of variable G and the secular accelerations of the sun and the moon Hypothesis of variable G and the secular accelerations of the sun and the moon

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986em%26p...34..139y&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 34, Feb. 1986, p. 139-148.

Physics

3

Acceleration (Physics), Gravitation, Moon, Secular Variations, Sun, Earth Rotation, Eclipses, Ephemeris Time, Solar Terrestrial Interactions

Scientific paper

The inconsistency of the observed secular accelerations of the sun and moon with respect to the tidal interactions of the earth with the sun and moon are accounted for by adopting the concept of Dicke (1966) of a variable constant of gravity (G). On the assumption that G decreases with time, the expressions for the apparent secular accelerations of the moon and sun were derived. Setting the theoretical acceleration ratio equal to the observed ratio, a unique value for -G(dot)/G was calculated. Using the literature values of accelerations, the value of this G ratio was found to lie in the range of 1.4-3.3 x 10 to the -11th/yr. This estimate is consistent with the one based on the comparison of the lunar accelerations measured with respect to atomic and ephemeris times.

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