http://arxiv.org/abs/1904.00522
We have calculated the figure of equilibrium of a rapidly rotating, differentiated body to determine the shape, structure, and composition of the dwarf planet Haumea. Previous studies of Haumea’s light curve have suggested Haumea is a uniform triaxial ellipsoid consistent with a Jacobi ellipsoid with axes $\approx 960 \times 774 \times 513$ km, and bulk density $\approx 2600 \, {\rm kg} \, {\rm m}^{-3}$. In contrast, observations of a recent stellar occultation by Haumea indicate its axes are $\approx 1161 \times 852 \times 523$ km and its bulk density $\approx 1885 \, {\rm kg} \, {\rm m}^{-3}$; these results suggest that Haumea cannot be a fluid in hydrostatic equilibrium and must be partially supported by interparticle forces. We have written a code to reconcile these contradictory results and to determine if Haumea is in fact a fluid in hydrostatic equilibrium. The code calculates the equilibrium shape, density, and ice crust thickness of a differentiated Haumea after imposing (semi-) axes lengths $a$ and $b$. We find Haumea is consistent with a differentiated triaxial ellipsoid fluid in hydrostatic equilibrium with axes of best fit $a$ = 1050 km, $b$ = 840 km, and $c$ = 537 km. This solution for Haumea has $\rho_{\rm avg} = 2018 \, {\rm kg} \, {\rm m}^{-3}$, $\rho_{\rm core} = 2680 \, {\rm kg} \, {\rm m}^{-3}$, and core axes $a_{\rm c} = 883$ km, $b_{\rm c} = 723$ km, and $c_{\rm c}=470$ km, which equates to an ice mantle comprising $\sim 17\%$ of Haumea’s volume and ranging from 67 to 167 km in thickness. The thick ice crust we infer allows for Haumea’s collisional family to represent only a small fraction of Haumea’s pre-collisional ice crust. For a wide range of parameters, the core density we calculate for Haumea suggests that today the core is composed of hydrated silicates and likely underwent serpentinization in the past.
E. Dunham, S. Desch and L. Probst
Tue, 2 Apr 19
62/90
Comments: 15 pages, 3 figures, accepted for publication in ApJ