Near-resonance tidal evolution of the Earth-Moon system influenced by orbital-scale climate change *

Research paper by Nan Wang, Zhi-Guo He

Indexed on: 10 Dec '20Published on: 09 Sep '19Published in: Research in Astronomy and Astrophysics


We build a conceptual coupled model of the climate and tidal evolution of the Earth-Moon system to find the influence of the former on the latter. An energy balance model is applied to calculate steady-state temperature field from the mean annual insolation as a function of varying astronomical parameters. A harmonic oscillator model is applied to integrate the lunar orbit and Earth’s rotation with the tidal torque dependent on the dominant natural frequency of ocean. An ocean geometry acts as a bridge between temperature and oceanic frequency. On assumptions of a fixed hemispherical continent and an equatorial circular lunar orbit, considering only the 41 kyr periodicity of Earth’s obliquity ε and the M 2 tide, simulations are performed near tidal resonance for 10 6 yr. It is verified that the climate can influence the tidal evolution via ocean. Compared with the tidal evolution with constant ε , that with varying ε is slowed down...