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Shape and Orientation of Mercury from Radar Ranging Data

1996, Icarus

If Mercury's radius is expanded in Legendre functions to the second degree and order, the systematic error in radar ranging is no estimate in the literature of Mercury's center of figure can be reduced significantly. We interpret the expansion coeffidisplacement from its center of mass, though elevation cients in terms of a best-fit ellipsoid displaced with respect to data inferred from ground-based radar ranging have been the center of mass in the equatorial plane. The ellipsoid's princidiscussed (Harmon et al. 1986, Harmon and Campbell pal axes are rotated in the equatorial plane such that the long 1988, Pitjeva 1993). There has been no determination of axis is aligned with cartographic longitude 15.3؇ ؎ 2.9؇ (west). the equatorial ellipticity from heretofore published radii The pole location is consistent with the IAU pole, normal to or any discussion of the geophysical implications of the Mercury's orbital plane. There is a significant equatorial ellipequatorial elliptical shape. The shape and orientation of ticity (a ؊ b)/a ‫؍‬ (540 ؎ 54) ؋ 10 ؊6. The center of figure is Mercury's equatorial figure and the displacement of this offset from the center of mass (C.F.-C.M.) by 640 ؎ 78 m in figure from the planet's center of mass place important the equatorial plane in the direction of cartographic longitude 319.5؇ ؎ 6.9؇. The magnitude of the equatorial center of figure constraints on the structure of Mercury's interior. Howoffset implies an excess crustal thickness of 12 km or less, ever, because Mercury is not an equilibrium figure, its comparable to the Moon's excess. By comparing the equatorial shape and gravity field do not permit the detection of a ellipticity with the Mariner 10 gravity coefficient C 22 , and asmetallic core, as revealed by recent Galileo measurements suming Airy isostatic compensation, we conclude that Mercuat Io (Anderson et al. 1966). Nevertheless, Mercury's high ry's crustal thickness is in the range from 100 to 300 km.