Averaging of orbital eccentricities of bodies accumulating into a planet

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Eccentric Orbits, Gravitational Effects, Planetary Evolution, Solar System, Mass Distribution, Orbit Calculation, Perturbation Theory

Scientific paper

The averaging of orbital eccentricities of protoplanetary bodies gathering into a planet is investigated. The mathematical expectation of eccentricity of a growing planetary embryo is estimated, the process of its accumulation being treated as a random one. The orbital eccentricities of protoplanetary bodies are assumed to be determined by gravitational perturbations by the growing planet and to increase with time. The perturbations of the planet during its encounters with the bodies are not considered. An inverse power law is taken for the mass distribution of the protoplanetary bodies. The main contribution to the orbital eccentricity of the planet was made by the largest bodies. The eccentricities calculated for three outer planets are comparable with the observed values, while the calculated values for all other planets are considerably less than the observed ones. It seems that the eccentricities of most of the planets resulted essentially not from the accumulation process but rather from mutual gravitational perturbations of the planets throughout their lifetimes.

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