Estimation of Earth interior parameters from a bayesian inversion of nutation time series

Physics

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Scientific paper

The nutation response of the Earth to the external gravitational torque is affected by the Earth internal structure. Because the torque is known very accurately, the high precision nutation observations allow to constrain Earth interior parameters. A non-rigid Earth nutation model has been proposed by Mathews et al. (2002). This model is semi-analytical: the analytical equations of the model depend on parameters, related to the Earth interior, which are fitted to the observations. In this paper, we develop a new fit procedure relying on an estimation of the geophysical parameters directly from the nutation data in time series. This allows to use all the information of the time-domain data and to take into account the time dependent uncertainties on the data. We use the Bayesian inversion method, which is well-suited for the non-linear nutation model and easily accommodates the possibility of having uncertainties in the nutation model itself. Finally, the results are compared with those obtained by Mathews et al. (2002).

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