Estimation of Earth Interior Parameters Based on the Nutation Obsservations in Time Series

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1212 Earth'S Interior: Composition And State (7207, 7208, 8105, 8124), 1229 Reference Systems, 1239 Earth Rotation Variations

Scientific paper

The nutation response of the non-rigid Earth to the gravitational forcing by the Moon, the Sun, and the planets has been modeled by Mathews et al. 2002 (MHB2000 model). This model is semi-analytic and depends on some unknown Earth interior parameters, of which the numerical values are adjusted on the nutation data, in order to have a model which fits the observations as well as possible. As the external forcing is mainly periodic, nutation observations are first transformed into a series of amplitudes and phases, at the main relevant frequencies, to which the internal parameters are adjusted. We have developed a nutation model similar to MHB2000, but we choose to work with time series rather than frequency series to adjust the Earth interior parameters. The adjustment is done using a Bayesian (or stochastic) inversion method. This direct estimation allows to avoid the extraction of amplitudes and phases of the main frequencies from the nutation data, to account for the time variable quality of the nutation data, and to estimate the precession and obliquity rate consistently with the other geophysical parameters. In the future, it will allow us to include the response of the Earth to non-periodic forcing in the nutation model (such as, for instance, atmospheric effects).

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