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We have developed a model for the evolution of the Earth-Moon angular momenta, energy dissipation and tidal torque valid for the entire history of the Earth-Moon system. The model is supported by present observational data.

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We have obtained empirical laws for the variation of the Earth parameters with geologic time that are in agreement with coral fossil data obtained by Wells and Runcorn. Our model predicts that the day is lengthening at a rate of 2 ms/century at the present time. The length of the day when the Earth was formed is found to be 6 hours and the synodic month 56 days. The angular momentum of the Earth-Moon system is found to be increasing with time. The origin of the presently observed acceleration of the Moon is explained. The model predicts that the Moon is accelerating at 20.6 arc sec/cy2 at the present time.

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As an example of a historical case study, some aspects of the post-Newtonian corrections in the Earth-Moon dynamics are described and discussed.

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