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High Obliquity, High Angular Momentum Earth as Moon’s Origin Revisited by Advanced Kinematic Model of Earth-Moon System

Bijay Kumar Sharma*

Muteja Cuk and his colleagues in 2016 proposed a tidal evolutionary model for the birth of our Moon born from lunar accretion of impact generated terrestrial debris in the equatorial plane of high obliquity, high angular momentum Earth. This paper examines their findings critically in the light of Advanced Kinematic Model (AKM) which includes Earth’s obliquity ( φ), Moon’s orbital plane inclination ( α), Moon’s obliquity (β ) and lunar’s orbit eccentricity (e). For the real Earth-Moon (E-M) system, the history of evolution of φ, α, β, e and (Length Of Month)/ (Length Of Day) or LOM/LOD is traced from 45 R_E to 60.33R_E where R_E is Earth Radius. It is shown that AKM’s valid range of application is from 45R_E to 60.33R_E. The evolution of α,β, e is in correspondence with the simulation results of Matija Cuk and his colleagues presented in 2016 but evolution of Earth’s obliquity has a break at 45 R_E. According to AKM, earlier than 45 R_E Earth should achieve 0° obliquity in order to achieve the modern value of 23.44° obliquity. Matija Cuk and his colleagues donot explain how this can be achieved. AKM stands vindicated because using protocol exchange algorithm. AKM has successfully given precise theoretical formalism of Observed LOD curve for the last 1.2 Gy time span opening the way for early warning and forecasting methods for Earth-quake and sudden volcanic eruptions.