Relation of a contracting earth to the apparent accelerations of the sun and moon

Details Relation of a contracting earth to the apparent accelerations of the sun and moon Relation of a contracting earth to the apparent accelerations of the sun and moon

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976moon...16...41l&link_type=abstract

The Moon, vol. 16, Dec. 1976, p. 41-58.

Physics

13

Earth Rotation, Earth-Moon System, Moments Of Inertia, Secular Variations, Solar Gravitation, Tides, Acceleration (Physics), Dynamic Models, Earth Tides, Equations Of Motion, Gravitational Constant, Lunar Evolution, Phase Shift

Scientific paper

It has been concluded that the theoretical ratio of the apparent secular accelerations of the moon and the sun implied by tidal theory is far higher than the ratio of observed values. This paper shows that the discrepancy can be entirely removed within the range of uncertainty of the various quantities involved if terms making allowance for a secularly decreasing terrestrial moment of inertia are included in the dynamical equations for the apparent secular accelerations. Such a decrease has already been predicted on the basis of the phase-change hypothesis for the nature of earth's core. The development of this hypothesis is reviewed, the modified dynamical equations are derived, and values of tidal couples implied by existing observational data are examined. The numerically determined rate of decrease of earth's moment of inertia is found to be in close agreement with that predicted by the phase-change hypothesis. The results indicate that a diminishing gravitational constant is unlikely, that the moon would have been in close proximity to earth only 1 billion years ago, and that earth's rotation period at that time would have been about 5 hr.

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