Late stages of planetary accretion

Statistics – Computation

Scientific paper

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Celestial Mechanics, Planetary Evolution, Planetary Mass, Protoplanets, Asteroids, Computational Astrophysics, Deposition, Differential Equations, Energy Transfer, Inelastic Collisions, Mass Ratios, Orbital Mechanics

Scientific paper

The author derives first-order differential equations for the late stages of planetary accretion (planetesimal mass >1013g). The effect of gravitational encounters, energy exchange, collisions, and gas drag has been included. Two simple models are discussed, namely (1) when all planetesimals have the same mass and (2) when there is one large planetesimal and numerous small planetesimals. Gravitational two-body encounters are modeled according to Chandrasekhar's classical theory from stellar dynamics. Characteristic time scales for the formation of the terrestrial planets are found for the most favorable models to be of order 108year.

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