Mathematics – Logic
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003basbr..23..211p&link_type=abstract
Boletim da Sociedade Astronômica Brasileira (ISSN 0101-3440), vol.23, no.1, p. 211-211
Mathematics
Logic
Scientific paper
The well-known tides induced on Earth by the Sun and the Moon have had several long-term effects over the age of Earth. Most notably, the transfer of angular momentum from Earth to the Moon has resulted in an appreciable secular increase in the length of the day and a retreat of the Moon from Earth. The implications of employing the present rate of tidal energy dissipation on a geological timescale are catastrophic: around 1500 Ma the Moon would have been close to Earth, with the consequence that the much larger tidal forces would have disrupted the Moon. Based on the data about the Earth's rotation, since 1623, provided by IERS, we investigated the secular perturbations in the past of the Earth-Moon system. Using IERS data and the equation for the transfer of rotational angular momentum from Earth to the lunar orbital angular momentum due to tidal friction of the Moon and the Sun we found equations for the Earths angular velocity and semi-major axis of Moons orbit. Our model furnishes a point of maximum approximation of the Moon at 4500 Ma, in a good agreement with the modern theories about the Earth-Moon system formation and with the results obtained through the analysis of sedimentary cyclic rhythmites. Thus, our model gives a good description of the Earth-Moon system past for any time. It can be further improved by including recent, high-accurate measurements and more reliable data concerning the ancient Earth's rotation values for comparison.
Afonso G. B.
Pimenta A. F.
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