Constraints on the lunar core viscosity from tidal deformation

We use the tidal deformations of Moon induced by Earth and Sun as a tool for studying inner structure our satellite. Based on measurements degree-two Love numbers k2 h2 dissipation coefficients from GRAIL mission, Lunar Laser Ranging Altimetry board LRO spacecraft, we perform Monte Carlo samplings 120,000 possible combinations thicknesses viscosities two classes lunar models. The first one includes uniform core, low viscosity zone (LVZ) at core-mantle boundary, mantle crust. second has an additional core. All models are consistent with total mass well its moment inertia. By comparing predicted observed parameters find that existence core cannot be ruled out. Furthermore, deducing temperature profiles LVZ Earth-like mantle, obtain stringent constraints radius (500 +- 1) km, viscosity,21 (4.5 0.8) x 10^16 Pa.s density (3400 10) kg/m^3 LVZ. also infer estimation outer viscosity, (2.07 1.03) 10^17 Pa.s, different structures: 70 km thick large (290 6000 kg/m3), thicker (169 thick) but denser smaller (219 8000 kg/m^3).