Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..408l&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 408
Astronomy and Astrophysics
Astronomy
Elastic Deformation, Geodynamics, Lunar Geology, Lunar Gravitation, Lunar Rotation, Lunar Surface, Moon, Viscoelasticity, Formalism, Relaxation (Mechanics), Viscosity
Scientific paper
The viscoelastic deformations of a graviting rotating multilayered Maxwell planet, submitted to a volumic external potential and to internal loads, are computed using a Love number formalism. First, for such a body, we calculate the relaxation modes associated with the viscoelastic Love numbers: they are due to various discontinuities in density, in rigidity or in viscosity at each interface of the multilayered planet. If an internal load is located at an interface 'i', the relaxation mode due to the density jump at this interface 'i' will be excited. For the Moon, such a mode creates viscoelastic deformations (in the radial displacement and in the mass redistribution potential) at the surface which relaxes with a relaxation time of about some billions years, that is, at time scale of the Moon age, quasi-constant deformations. Finally, we show that the present non-hydrostatic form of the Moon can be explained by an internal load (appeared 2.8 billions years ago), located between the upper and the lower part of the lunar lithosphere, which creates viscoelastic surface deformations, in the selenoid, not completely relaxed.
Lefftz Marianne
Legros Hilaire
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