A model of the accumulation process in the formation of planetary systems. I - Numerical experiments

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Computerized Simulation, Planetary Evolution, Planetary Systems, Protoplanets, Mass Distribution, Planetary Mass

Scientific paper

The paper considers the evolution of a plane protoplanetary nebula consisting of a large number of protoplanets, which interact gravitationally, combine or contact, and move in the field of a massive central body. It is assumed that the gravitational interaction between bodies occurs only during their binary close approach, and that the bodies move in Keplerian orbits between close approaches. The limit model of the accumulation process is considered, and it is shown that in the course of the evolution of such a model, annular zones of material condensation appear whose subsequent development leads to the formation of planets with predominantly direct rotation. The law of planetary distances is reviewed to establish the existence of a critical width of an annular protoplanetary disk, and results help explain the correspondence observed in planetary and satellite systems between the law of planetary distances and the law of geometric progression reflected in the Titius-Bode law. The Titius-Bode law is further discussed, and because it corresponds to a very rough model of the protoplanetary nebula, it is considered to be an approximate rule and not a law in the strict sense of the word.

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