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Table D.1.

Cyclostratigraphic data.

dataset Reference T [ Ga ] p [ arcsec/yr ] aM [ RE ] aM [ km ] LOD [ hr ]
IC Laskar et al. (2004) 0.000 50.467718 60.142611 383598 24.00
Walvis Ridge Meyers & Malinverno (2018) 0.055 51.28± 1.02 59.94 ± 0.26 382284 ± 1650 23.80 ± 0.24
Lucaogou(a) Huang et al. (2020) 0.268 57.01± 1.37 58.57 ± 0.31 373538 ± 2000 22.56 ± 0.27
Lucaogou(b) Huang et al. (2020) 0.270 55.36± 0.51 58.95 ± 0.12 375967 ± 750 22.90 ± 0.11
Yangtze Block Zhong et al. (2020) 0.445 57.19± 0.53 58.52 ± 0.12 373277 ± 750 22.53 ± 0.10
Alum shale Sørensen et al. (2020) 0.493 60.11± 1.59 57.88 ± 0.34 369153 ± 2200 21.99 ± 0.28
Luoyixi Fang et al. (2020) 0.500 61.06± 0.94 57.67 ± 0.20 367854 ± 1300 21.82 ± 0.16
Xiamaling Meyers & Malinverno (2018) 1.400 85.79± 2.72 53.27 ± 0.41 339777 ± 2600 18.70 ± 0.25
Joffre Lantink et al. (2021) 2.460 108.91± 8.28 50.24 ± 0.96 320452 ± 6100 16.98 ± 0.50

Notes. In boldface, we display the direct observables we used: the precession frequency p in arcsec/yr. The time of observation, T, is in the second column. The semi-major axis of the Moon (aM) given in Earth radius (RE) or in km, and the length of the solar day (LOD), in hours, 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; IC denotes the initial conditions (Laskar et al. 2004). The two values (a,b) for the Lucaogou data set correspond to different analyses (a): TimeOptMCMC (Meyers & Malinverno 2018; b) obliquity and precession cycle counting (Huang et al. 2020). Whenever it is specified in the original publication, the uncertainty in p is set to 2σ. The uncertainty of the other variables is propagated through the nominal solution of the present study.

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