Rotation Rate of the Proto-Earth by Planetesimal Accertion and Its Implication for Lunar Origin

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Angular Momentum, Earth-Moon System, Planetary Nebulae, Protoplanets, Planetary Evolution, Earth (Planet), Numerical Integration, Orbital Mechanics

Scientific paper

Angular momentum of the Earth-Moon system is one of the most important dynamical constraints on the lunar origin. Earth and the Moon have tidally interacted with each other since the formation of the Moon. Therefore, models of lunar formation need to account for the present total angular momentum of the Earth-Moon system. For example, in order to account for the present total angular momentum by a single large impact onto the proto-Earth of the present Earth's radius, the size of the impactor would have to be as large as Mars. On the other hand, in order for fission to occur, the spin angular momentum of the proto-Earth would have to be more than 3x as large as the present total angular momentum of the Earth-Moon system. In the present work, we have carried out numerical integration of a large number of orbits of planetesimals and evaluated the spin angular momentum of the proto-Earth acquired by accretion of a number of planetesimals. The case with migration of the proto-Earth due to tidal interaction with the solar nebula has been also investigated.

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