Computer Science – Numerical Analysis
Scientific paper
Jun 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983icar...54..361n&link_type=abstract
Icarus (ISSN 0019-1035), vol. 54, June 1983, p. 361-376.
Computer Science
Numerical Analysis
92
Mass Distribution, Planetary Evolution, Protoplanets, Solar Corona, Coalescing, Distribution Functions, Gravitational Effects, Numerical Analysis, Planets, Formation, Planetesimals, Solar Nebula, Time Scales, Mass, Distribution, Procedure, Eccentricity, Inclination, Scattering, Drag, Gravity Effects, Motion, Diffusion, Flow, Collisions, Tidal Effects, Earth, Jupiter, Saturn, Neptune, Procedure, Calculations
Scientific paper
Assuming the eccentricity and inclination of planetessimals to be determined by a balance between excitation due to mutual gravitational scattering and dissipation due to gas drag, an examination is conducted of the characteristic time scales relevant to the accumulation of planetesimals in a gaseous nebula. Accumulation toward the planets is simulated through the numerical solution of a mass distribution function growth equation. Diffusion is shown to be effective in later stages, resulting in an acceleration of the accumulation process. Numerical results indicate that the gravitational enhancement factor contained in the cross section formula always takes a value of the order of unity, but the accumulation proceeds rapidly due to the effects of both radial diffusion and tidal disruption. Proto-earth, -Jupiter, and -Saturn formation period estimates are given.
Hayashi Chuichiro
Nakagawa Yasuhiro
Nakazawa Kazuhiro
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