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Table A.1

Notations used in the paper.

Physical parameters

R, Rc Mean radius of Mimas and of its core
m Mass of Mimas
a > b > c Radii of Mimas
A < B < C Moments of inertia of Mimas
Ac < Bc < Cc Moments of inertia of the core of Mimas
ρc > ρs Densities of the core and the shell of Mimas
k f Fluid Love number of Mimas
k 2 Love number of Mimas
J2 =  −C20, C22 Gravity coefficients of Mimas

Proper modes

λ, ω, φ, ζ, Φ Orbital modes
n Orbital and spin frequency of Mimas
u, v, w Rotational modes, respectively in longitude, latitude and wobble
ωu, ωv, ωw Frequencies of the rotational modes

Rotation variables

l, g, h, L, G, H Andoyer variables and the moments associated
p, r, ξq, P, ℛ, ηq Modified Andoyer variables and the moments associated

Rotation outputs

Ψ Tidal longitudinal librations
γ Physical longitudinal librations
η Latitudinal librations
ϵ Obliquity of Mimas
Q1 + iQ2 Polar motion of Mimas

Tidal data

λ Dissipative rate
xi, yi Displacement of the equilibrium

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