Equilibrium figure of Haumea and possible detection via stellar occultation

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Volume 710 (June 2026)

A&A, 710 (2026) L2

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Table 1.

Examples of hydrostatic solutions whose free surface is coherent with the chords obtained during the 2017 occultation (Ortiz et al. 2017).

	L	$\frac{c_{L}}{a_{L}}$ $Mathematical equation: $ \dfrac{c_L}{a_L} $$	$\frac{ρ_{1}}{ρ_{2}}$ $Mathematical equation: $ \dfrac{\rho_1}{\rho_2} $$	$\frac{ρ_{2}}{ρ_{3}}$ $Mathematical equation: $ \dfrac{\rho_2}{\rho_3} $$	$\frac{c_{1}}{c_{L}}$ $Mathematical equation: $ \dfrac{c_1}{c_L} $$	$\frac{c_{2}}{c_{L}}$ $Mathematical equation: $ \dfrac{c_2}{c_L} $$	q	a_L	c_L	$\bar{ρ}$ $Mathematical equation: $ \bar{\rho} $$	ρ₃	ρ₂	ρ₁	τ	J₂
(km)	(km)						(kg/m³)	(kg/m³)	(kg/m³)	(kg/m³)	(h)
A	3	0.513	1.4	2.6	0.45	0.90	0.59	1046	537	2055	936	2435	3408	3.92	0.158
B	3	0.450	1.7	2.3	0.66	0.90	0.97	1227	552	1932	858	1974	3356	3.91	0.157
C	3	0.460	2.6	1.4	0.78	0.90	0.99	1170	538	2078	952	1333	3466	3.67	0.140
D	3	0.487	1.8	2.6	0.38	0.86	0.73	1126	547	1952	972	2528	4551	3.92	0.159
E	3	0.496	2.2	1.4	0.80	0.95	0.68	1095	543	1984	938	1313	2890	3.91	0.158
F	2	0.460	3.8	–	0.82	–	0.98	1163	536	2081	–	880	3346	3.65	0.140

Notes. In all configurations, M = 3.952 × 10²¹ kg and b_L = 840 km. The reference radius for J₂ is 798 km and is taken from Proudfoot et al. (2024).

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