We analyze data of the Mercury Laser Altimeter (MLA) aboard the MErcury Surface, Space ENvironment, GEochemistry, and Ranging (MESSENGER) spacecraft to infer Mercury’s reaction to tidal forces. The combination of the surface displacement, parametrized by the Love number h2, and the change in the gravity field, parametrized by the Love number k2, due to tides, can be used to reveal the existence and size of Mercury’s solid inner core (Steinbrügge et al., 2018). This in turn provides important constraints on Mercury’s thermal evolution and dynamo.
The MLA has delivered more than 40 million measurements of the shape of Mercury at about 26 million individual footprint locations. These locations are focused around the North Pole, with 78.5% of all measurements located between 50° N and 84° N. The topography at the footprint location is determined from the position of the spacecraft, the orientation of the instrument, and the measured range to the surface.
Previously, two methods have been proposed for the retrieval of tidal surface displacements from laser altimetry data: The crossover method (e.g., Mazarico et al., 2014) and a global approach, which simultaneously solves for global topography and h2 (Thor et al., 2020). In the global approach, the topography is parametrized as an expansion in 2D cubic B-splines on an equirectangular grid with resolutions reaching up to 32 grid cells per degree.
Here, we investigate the possibility to substitute the solution for topography in the global approach by the usage of a prescribed topographic model. This so-called direct altimetry approach has not been applied to the problem of retrieving tides from laser altimetry yet. We use a high-resolution (64 pix / degree) digital terrain model (DTM) obtained by photogrammetric evaluation of images obtained by the Mercury Dual Imaging System (MDIS, Becker et al., 2016) and compare the MLA topographic values to the corresponding values at the MLA measurement locations interpolated from the MDIS DTM.
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)
Figure 1: Mean and standard deviation of the residuals of the MLA measurements of each MESSENGER orbit, with respect to the MDIS data (direct altimetry approach) and to the topographic model obtained from the fit (global approach), respectively.
Fig. 1 shows the statistics of residuals between MLA topographic values and interpolated MDIS DTM values as well as the residuals of the adjustment applied in the global approach with a resolution of 16 grid cells per degree, equivalent to 2.7 km at the equator. The standard deviations over the entire data set are 83.59 m for the global approach and 251.06 m for the direct altimetry, respectively.
First, we note that for several orbits mean and standard deviation significantly exceed the usual levels. For both methods a careful elimination of outliers is indispensable. Outliers can be found in the MLA data per orbit and at individual measurements. The former type is likely related to the orbit determination process. Second, we note that even though the resolution of the DTM is at 64 pix / degree four times larger than the shown resolution of 16 grid cells per degree for the topographic model obtained in the global fit, its effective resolution is lower, leading to higher residuals. This shows that the photogrammetric DTM of Becker et al. (2016) has a worse fit to the MLA data than a coarser model derived from the MLA data itself. Therefore, the retrieval of the tidal signal from the photogrammetric DTM is challenging.
Future application of updated DTMs (Preusker et al. 2017) could remedy the low effective resolution when globally available. Furthermore, the co-registration of the MLA measurements to the DTM might lead to a better fit. However, this procedure comes with the concern that the stereo-photogrammetric generation of DTMs neglects tidal deformations.
References
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Thor, R. N., Kallenbach, R., Christensen, U. R., Stark, A., Steinbrügge, G., Di Ruscio, A., ... & Oberst, J. (2020). Astronomy & Astrophysics, 633, A85.
Becker, K. J., Robinson, M. S., Becker, T. L., Weller, L. A., Edmundson, K. L., Neumann, G. A., ... & Solomon, S. C. (2016). In Lunar and planetary science conference (Vol. 47, p. 2959).
Preusker, F., Stark, A., Oberst, J., Matz, K. D., Gwinner, K., Roatsch, T., & Watters, T. R. (2017). Planetary and Space Science, 142, 26-37.