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Main Author: Liu, Wenshuai
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.12122
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author Liu, Wenshuai
author_facet Liu, Wenshuai
contents According to the giant impact theory, the Moon formed by accreting the circum-terrestrial debris disk produced by Theia colliding with the proto-Earth. The giant impact theory can explain most of the properties of the Earth-Moon system, however, simulations of giant impact between a planetary embryo and the growing proto-Earth indicate that the materials in the circum-terrestrial debris disk produced by the impact originate mainly from the impactor. Thus, the giant impact theory has difficulty explaining the Moon's Earth-like isotopic compositions. More materials from the proto-Earth could be delivered to the circum-terrestrial debris disk when a slightly sub-Mars-sized body collides with a fast rotating planet of rigid rotation but the resulting angular momentum is too large compared with that of the current Earth-Moon system. Since planetesimals accreted by the proto-Earth hit the surface of the proto-Earth, enhancing the rotation rate of the surface of the proto-Earth. The surface's fast rotation rate relative to the slow rotation rate of the inner region of the proto-Earth leads to transfer of angular momentum from surface to inner, resulting in the differential rotation. Here, we show that the giant impact of a sub-Mars-sized body on a differential rotating proto-Earth with a fast rotating outer region and a relative slow rotating inner region could result in a circum-terrestrial debris disk with materials predominately from the proto-Earth without violating the angular momentum constraint. The theory proposed here may provide a viable way of explaining the similarity in the isotopic compositions of the Earth and Moon.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12122
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Origin of the Moon's Earth-like isotopic composition from giant impact on a differential rotating proto-Earth
Liu, Wenshuai
Earth and Planetary Astrophysics
High Energy Astrophysical Phenomena
According to the giant impact theory, the Moon formed by accreting the circum-terrestrial debris disk produced by Theia colliding with the proto-Earth. The giant impact theory can explain most of the properties of the Earth-Moon system, however, simulations of giant impact between a planetary embryo and the growing proto-Earth indicate that the materials in the circum-terrestrial debris disk produced by the impact originate mainly from the impactor. Thus, the giant impact theory has difficulty explaining the Moon's Earth-like isotopic compositions. More materials from the proto-Earth could be delivered to the circum-terrestrial debris disk when a slightly sub-Mars-sized body collides with a fast rotating planet of rigid rotation but the resulting angular momentum is too large compared with that of the current Earth-Moon system. Since planetesimals accreted by the proto-Earth hit the surface of the proto-Earth, enhancing the rotation rate of the surface of the proto-Earth. The surface's fast rotation rate relative to the slow rotation rate of the inner region of the proto-Earth leads to transfer of angular momentum from surface to inner, resulting in the differential rotation. Here, we show that the giant impact of a sub-Mars-sized body on a differential rotating proto-Earth with a fast rotating outer region and a relative slow rotating inner region could result in a circum-terrestrial debris disk with materials predominately from the proto-Earth without violating the angular momentum constraint. The theory proposed here may provide a viable way of explaining the similarity in the isotopic compositions of the Earth and Moon.
title Origin of the Moon's Earth-like isotopic composition from giant impact on a differential rotating proto-Earth
topic Earth and Planetary Astrophysics
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2504.12122