Modeling of Mercury tides for recovery of gravity field and interior properties

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[5770] Planetary Sciences: Fluid Planets / Tidal Forces, [6235] Planetary Sciences: Solar System Objects / Mercury

Scientific paper

The radio science experiment on the MESSENGER mission allows the determination of the gravitational field of Mercury. In order to secure the best possible gravity-field recovery, it is important to model all the forces acting on the spacecraft. Here we study the perturbations induced on the spacecraft by the tides raised on Mercury by the Sun. The manner by which the tides affect the orbit of MESSENGER depends on the response of the planet to the tide-raising potential. This response is directly connected to the interior properties of Mercury, and its study can help improve our understanding of the physical and chemical properties of the planet. The standard approach of modeling the strongest tidal effect on the gravitational field is by introducing a time-varying component in the degree-two harmonic coefficients of the gravity field. The amplitude of these variations depends on known quantities (mass of the Sun and Mercury, radius of Mercury and its position and relative orientation with respect to the Sun) and on the Love number k2. The value of this parameter is sensitive (among other things) to the state of the core and to the rigidity of the mantle (which in turn depends on its chemical composition). An accurate value of k2 determined from orbit perturbations can be compared to values obtained with forward modeling of the interior of Mercury. The orbital geometry and physical environment of MESSENGER make the identification of the tidal perturbation difficult. Nevertheless, recent work has shown that in the case of Mars, careful study of the effect of tides on the spacecraft trajectory can help identify which orbital and observational geometries exhibit stronger tidal signatures and are apt to provide the best possible determination of k2. Our long-term goal is to evaluate k2 for a suite of interior models and to evaluate the sensitivity of k2 to key interior properties. We will describe the orbital geometry and the tidal perturbations acting on the spacecraft trajectory with both numerical and analytical approaches, and we will report on the status of the interior modeling efforts.

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