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Table 1

Main parameters used in the numerical examples.

Parameter Description Earth Moon
m (M) Mass 3.0035 × 10−6 3.6942 × 10−8
R (km) Mean radius 6371.0 1737.4
Trot (day) Sidereal rotation period 0.99727 27.322
θ (o) Obliquity 23.44 6.68
a (AU) Semi-major axis 1.0 2.56955 × 10−3
e Orbital eccentricity 0.0167 0.0549
I (o) Orbital inclination 0.0 5.145 (ecliptic)
rg Moment of inertia factor 0.3308 0.394
J2 Stokes coefficient 1082.63 × 10−6 203.224 × 10−6
C22 Stokes coefficient 1.57462 × 10−6 2.23814 × 10−5
S22 Stokes coefficient −0.90387 × 10−6 5.86059 × 10−10
C21 Stokes coefficient −0.26674 × 10−9 1.89313 × 10−11
S21 Stokes coefficient −1.78727 × 10−9 1.51469 × 10−11

Notes. Orbital and bulk parameters taken from Williams (2016). Stokes coefficients taken from Pavlis et al. (2008) and Pavlis et al. (2012) EGM2008 (Earth), and Lemoine et al. (2014) and Goossens et al. (2016) GRGM1200A (Moon). Apart from the orbital inclination, the Moon’s orbital values are in relation to Earth.

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