AstroGeo22.dat
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Earth-Moon evolution over 4.25Ga
Ref: Farhat, M., Auclair-Desrotour, P., Bou'e, G., Laskar, J., 2022: 
The resonant tidal evolution of the Earth-Moon distance
Astronomy & Astrophysics, 665, L1
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Keys words : celestial mechanics - Moon - precession - Earth's rotation -Milankovitch cycles

Abstract of Farhat et al, 2022 : 
Due to tidal interactions in the Earth-Moon system, the spin of the Earth slows down and 
the Moon drifts away. This recession of the Moon can now be measured with great precision, 
but it was noticed more than fifty years ago that simple tidal models extrapolated back in 
time lead to an age of the Moon that is largely incompatible with the geochronological and 
geochemical evidence. In order to evade this problem, more elaborate models have been 
proposed, taking into account the oceanic tidal dissipation. However, these models have 
not been able to fit both the estimated lunar age and the present rate of lunar recession 
simultaneously. In the present work, we present a physical model that reconciles these two
constraints and yields a unique solution for the tidal history. This solution fits the 
available geological proxies for the history of the Earth-Moon system well and it 
consolidates the cyclostratigraphic method. Our work extends the lineage of earlier works 
on the analytical treatment of fluid tides on varying bounded surfaces that is further
coupled with solid tidal deformations. This allows us to take into account the 
time-varying continental configuration on Earth by considering hemispherical and global 
ocean models. The resulting evolution of the Earth-Moon system involves multiple crossings
of resonances in the oceanic dissipation that are associated with significant and rapid 
variations in the lunar orbital distance, the length of an Earth day and the Earth's obliquity.
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Description of the data :

Solution for the Earth-Moon orbital and rotational evolution back in time from 
date 0 (J2000) to 4.429 Ga. All solutions are available at 
http://www.astrogeo.eu

File Summary:
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 FileName        Lrecl  Records   Explanations
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AstroGeo22.dat   232    4431      Earth-Moon orbital and rotational evolution
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Byte-by-byte Description of file AstroGeo22.dat
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   Bytes Format  Units   Label   Explanations
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  1-6       F6.2    Ga      T(Ga)      Time back in time from J2000
  7-18      F12.6   RE      a(RE)      Earth-Moon semi-major axis in Earth-Radius (RE) (1)
 19-30      F12.6   RE      amin       lower bound for uncertainty interval of a(RE)
 31-42      F12.6   RE      amax       upper bound for uncertainty interval of a(RE)
 43-54      F12.6   h       lod        length of the solar day (hours)
 55-66      F12.6   h       lodmin     lower bound for uncertainty interval of lod (h)
 67-78      F12.6   h       lodmax     upper bound for uncertainty interval of lod (h)
 79-90      F12.6   deg     obli       obliquity of the mean equator over the mean ecliptic (deg)
 91-102     F12.6   deg     oblimin    lower bound for uncertainty interval of pre (deg)
103-114     F12.6   deg     oblimax    upper bound for uncertainty interval of pre (deg)
115-126     F12.6   "/yr    pre        Luni-solar precession of the Earth (arcsec/year) 
127-138     F12.6   "/yr    premin     lower bound for uncertainty interval of pre ("/yr)
139-150     F12.6   "/yr    premax     upper bound for uncertainty interval of pre ("/yr)
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Note (1) : The Earth radius value is set to RE=6378.1366 km. 
           This value is from INPOP21 (Fienga et al, Notes Scientifiques et techniques de 
           l'Institut de M'ecanique C'eleste, 110)
           https://www.imcce.fr/content/medias/publications/publications-recherche/nst/docs/S110.pdf