Notes. In boldface, we display the observables. In general, the observable is the number of synodic lunar months per year or in an equivalent way, as quoted here, the number of sidereal lunar months per year (col. 3). The values are issued from the referenced publications (col. 1). For the Moodies Group, we could not infer this quantity from the original publication, and the corresponding estimate of the lunar semi-major axis was taken from de Azarevich & Azarevich (2017). The semi-major axis, a_M, is obtained through Kepler’s law (). As for the cyclostratigraphic data (Table.D.1), all other quantities (p, LOD) are derived from the observed quantities using the model that is presented in the text. These values may thus differ from the corresponding values published in the referenced publications. The uncertainty of the observables are propagated to the derived variables through the nominal solution of the present study. The values at the origin (T = 0) are from Laskar et al. (2004). It should be noted that the present value of sidereal lunar months per year and lunar semi-major axis provided here for T = 0 differs from some published value because here we consider averaged values, which should be the case for such long-term studies (see Figure 18 from Laskar et al. (2004)).