Rings around irregular bodies - I. Structure of the resonance mesh, and applications to Chariklo, Haumea, and Quaoar

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Table 2

Adopted physical parameters of Chariklo, Haumea, and Quaoar¹.

	Chariklo²	Haumea³	Quaoar⁴
Mass (kg)	7 × 10¹⁸	4.006 × 10²¹	1.2 × 10²¹
Semi-axes A × B × C (km)	157 × 139 × 86	1161 × 852 × 513	580 × 513 × 471
Reference radius R_ref (km)	115	712	516
Elongation C₂₂	0.0201	0.0614	0.0138
Dynamical oblateness J₂	0.221	0.305	0.0586
Rotation period (h)	7.004	3.915341	17.6788
Rotational parameter q	0.202	0.268	0.0167
Corotation radius (km)	196	1104	2018
Corotation full width W_cor (km)	130	1410	484

Ring and resonance radii (km)

Rings	Q1R: 385.9 ± 0.4	$H1R: 2287_{- 45}^{+ 75}$ ${\rm{H1R:}}\,{\rm{2287}}_{ - 45}^{ + 75}$	Q1R: 4057 ± 6
	Q2R: 399.8 ± 0.6		Q2R: 2520 ± 20
Resonances	1/3: 408 ± 20	1/3: 2285 ± 8	1/3: 4197 ± 58
			5/7: 2525 ± 35

Notes. ⁽¹⁾See definitions in Appendices A, B, and F. ⁽²⁾Leiva et al. (2017); Morgado et al. (2021). ⁽³⁾Ortiz et al. (2017). ⁽⁴⁾Ortiz et al. (2003); Vachier et al. (2012); Morgado et al. (2023); Pereira et al. (2023).

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