Table D.3.
Values of constant parameters used in the numerical implementation of the theory.
| Parameter | Value |
|---|---|
| Surface gravitational acceleration (g) | 9.81 m s−2 |
| Earth radius (R) | 6378.1366 km |
| Solar gravitational constant (GMS) | 2.959122082853813556248×10−4 AU3 day−2 |
| Earth-Moon gravitational constant (G[ME + MM]) | 8.997011395221144381906×10−10 AU3 day−2 |
| Earth to Moon mass ratio (ME/MM) | 81.30056789872074318737 |
| Uniform oceanic density (ρoc) | 1022 kg m3 |
| Andrade characteristic time (τA) | 2.19 × 104 yr |
| Andrade rheological exponent (αA) | 0.25 |
| Average rigidity of the deformable mantle (μE) | 17.3 × 1010 Pa |
| Average viscosity of the deformable mantle (ηE) | 3.73 × 1021 Pa s |
| Present day mean lunar semi-major axis (a0) | 60.142611 RE |
| Present day mean sidereal length of the day (LODs) | 23.934468 hr |
| Present day mean obliquity (ϵ0) | 23.2545° |
| Present day mean precession frequency (p0) | 50.467718 arcsec yr−1 |
| Earth’s semi-major axis (aE) | 1.495978707 × 108 km |
| Earth’s inertia parameter (C0/(MER2)) | 0.3306947357075918999972 |
Earth’s fluid Love number ( ) |
0.93 |
Notes. Astronomical values are adopted from INPOP21 (Fienga et al. 2021). Oceanic and rheological parameters are adopted from Auclair-Desrotour et al. (2019) and Gerkema & Zimmerman (2008). The average rigidity is computed from the PREM model (Dziewonski & Anderson 1981), while the average viscosity is computed from mantle viscosity inversions in Lau et al. (2016b). The initial conditions of the orbital integration are the mean elements from the La2004 astronomical solution (Laskar et al. 2004).
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