Sensitivity of the tides of Mercury to its interior structure

Physics

Scientific paper

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Scientific paper

An accurate tidal potential series for Mercury has been calculated based on VSOP ephemerides. Due to the 3:2 resonance of Mercury's rotation with its revolution around the Sun, the tides on Mercury can not be divided into the three classically known tidal frequency bands for the Earth, the diurnal, semi-diurnal and long period tides. Instead, the tides all have periods of the order of one Mercury day, or equivalently one Mercury year. The amplitudes of the tidal waves are calculated with an accuracy of 10-5 m^2s-2. We further constructed a set of simple Mercury models with varying inner and outer core radius and sulfur concentration in order to test the sensitivity of the tides to these parameters. To determine the reaction of Mercury to the tidal forcing, the Love numbers h, l, and k and the gravimetric factor δ were calculated for the interior models. We calculated tidal displacements, gravity variations, and external gravitional potential variations. It is shown that especially the measurement of the external potential variations will be extremely useful for the determination of the dimension of the core.

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