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Table 2

Quantities returned by computeHomogeneous.

Key Units Description
kE dimensionless Elastic Love number kE
kf dimensionless Fluid Love number kf
k2Re dimensionless Real part of k2()
k2Im dimensionless Imaginary part of k2()
gamma Pa Gravitational rigidity γ
alpha Pa Elastic rigidity α
eta Pa s Viscosity of the isolated dashpot
prefactor s−2 Mapping prefactor Θ = 3I°G/R5
Fconv Pa s2 Conversion factor to physical units
nPoles integer Number of secular poles (equal to n + 1 in the notation of Section 2.3)
poles s−1 Secular pole locations {sj}
residues dimensionless Residues {rj} in the mode decomposition of k2(s)
nVoigt integer Number of Kelvin–Voigt elements (equal to n in the notation of Section 2.3)
tauV s Relaxation times {τi} of the Voigt elements
alphaV Pa Spring rigidities {αi} of the Voigt elements
etaV Pa s Dashpot viscosities {ηi} of the Voigt elements

Notes. The routine returns both the intermediate mode information of the layered model and the parameters of the equivalent homogeneous generalized Voigt rheology.

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