High obliquity, high Angular Momentum Earth as Moon origin revisited by Advanced Kinematic Model of Earth-Moon System

TL;DR

This paper revisits the high obliquity, high angular momentum Earth-Moon formation model using an advanced kinematic model to analyze the evolution of Earth's obliquity and lunar orbit, providing new insights and validation.

Contribution

It introduces an advanced kinematic model that accurately traces Earth's obliquity and lunar orbital parameters, validating and extending previous Moon formation theories.

Findings

AKM's valid application range is from 45R_E to 60.33R_E.

Evolution of lunar orbit parameters aligns with previous simulations.

AKM successfully models Earth's obliquity evolution and LOD curve.

Abstract

Matija Cuk et.al (2016) have proposed a new model for the birth and tidal evolution of our natural satellite Moon, born from 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 (\phi), Moon's orbital plane inclination (\alpha) , Moon's obliquity (\beta) and lunar's orbit eccentricity (e). For the real Earth-Moon (E-M) system, the history of evolution of \phi, \alpha, \beta, e and (length of month)/(length of day) or LOM/LOD is traced from 45R_{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 {\alpha}, \beta, e is in correspondence with the simulation results of Matija Cuk et.al (2016) but evolution of Earth's obliquity has a break at 45R_{E} . According to AKM , earlier than 45RE Earth should achieve zero degree obliquity in order to achieve the modern value of 23.44{\deg} obliquity. Cuk et al (2016) do not explain how this can be achieved.AKM stands vindicated because using protocol exchange algorithm (described in S6 SOM), AKM has successfully given precise theoretical formalism of Observed LOD curve for the last 1.2Gy time span opening the way for early warning and forecasting methods for Earth-quake and sudden volcanic eruptions(See S7 of SOM).