Determination of the cosmological rate of change of G and the tidal accelerations of earth and moon from ancient and modern astronomical data

Computer Science – Numerical Analysis

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Data Reduction, Earth Tides, Gravitational Constant, Lunar Tides, Astronomical Coordinates, Astronomical Maps, Gravitational Effects, Hubble Diagram

Scientific paper

The theory and numerical analysis of ancient astronomical observations (1374 to 1715) are combined with modern data in a simultaneous solution for: the tidal acceleration of the lunar longitude; the observed apparent acceleration of the earth's rotation; the true nontidal geophysical part of this acceleration; and the rate of change in the gravitational constant. Provided are three independent determinations of a rate of change of G consistent with the Hubble Constant and a near zero nontidal rotational acceleration of the earth. The tidal accelerations are shown to have remained constant during the historical period within uncertainties. Ancient and modern solar system data, and extragalactic observations provided a completely consistent astronomical and cosmological scheme.

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