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For the early stage of the Moon's development, a possible lunar topography and internal density distribution were determined.The distribution of anomalies of the attractive force and gravitational potential in various layers of the upper mantle is found, due to the gravity influence of the anomalous structures of the crust and mantle. An analysis of the results leads to the conclusion about the possibility of convective movements in molten electrically conductive layers of the mantle, enriched in Fe , which could generate an ancient magnetic field. For the current state of the density structure of the Moon (Chuikova et al., 2020), gravitational anomalies in various layers have also been determined, which can lead to solid-state convection in some hardened regions of the Moon. Чуйкова Н.А., Насонова Л.П.., Максимова Т.Г. Определение глобальных плотностных неоднородностей и напряжений внутри Луны // Астрон. вестн. 2020. Т. 54. № 4. С. 1–12. ( Chuikova N.A., Nasonova L.P.,