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Ancient eclipses and long-term drifts in the Earth–Moon system
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Journal Article
Ancient eclipses and long-term drifts in the Earth–Moon system
2013
Overview
We study anomalies in the Earth–Moon system using ancient eclipse data. We identify nine groups of anomalous eclipses between AD 400 and 1800 recorded in parts of India that should have completely missed the subcontinent according to NASA simulations (Espenak, F. and Meeus, J., NASA/TP 2006–214141, 2011). We show that the typical correction in lunar location required to reconcile the anomalous eclipses is relatively small and consistent with the fluctuations in the length of day that are observed in recent periods. We then study how the change in the moment of inertia of the Earth due to differential acceleration of land and water can account for this discrepancy. We show that 80% of these discrepancies occur when the Moon is at a declination greater than 10° and closer to its major standstill of 28° while it spends 46% of the time in this region. We simulate the differential interaction of the Moon's gravity with land mass and water using finite element method to account for land mass and watermass. We show that the results of eclipse error are consistent with the estimate of a small differential acceleration when the Moon is over land at high latitudes. However, we encounter some examples where the results from simulation studies cannot explain the phenomenon. Hence we propose that the ΔT corrections have to be coupled with some other mechanism, possibly a small vertical oscillation in the Moon's rotational plane with period of the order of a few hundred years to achieve the required adjustment in eclipse maps.
Publisher
Current Science Association
Subject
