The influence of encounters of swarm bodies with a growing planet on the eccentricity of its orbit

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Eccentric Orbits, Gravitational Effects, Planetary Evolution, Solar System, Encounters, Impact Damage, Mass Distribution, Perturbation Theory, Planetary Nebulae

Scientific paper

The problem in question is the orbital eccentricity of an accumulating planet which varies due to impacts and close encounters of preplanetary bodies. An inverse power law is taken for the mass distribution of the bodies. The orbital eccentricities of the bodies are assumed to be determined by their interaction with each other and with the planet and to increase during the planet's growth. It is shown that in both plane and spatial cases, the contribution to the planetary orbital eccentricity due to the encounters is of the same order as that due to the impacts with bodies. For most of the planets, the calculated initial eccentricities are within the bounds given by the Lagrange theory of secular perturbations. It is concluded that the present-day eccentricities of planetary orbits resulted essentially not from the accumulation process but rather from their mutual gravitational perturbations.

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