Statistics – Computation
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pggp.rept..436k&link_type=abstract
In NASA, Washington, Reports of Planetary Geology and Geophysics Program, 1990 p 436-437 (SEE N92-10728 01-91)
Statistics
Computation
Astronomical Models, Collisions, Cross Sections, Numerical Integration, Orbit Perturbation, Planetary Evolution, Planetary Orbits, Protoplanets, Computational Astrophysics, Gravitational Effects, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Particle Interactions, Statistical Analysis, Three Body Problem, Velocity Distribution
Scientific paper
Many models of planet formation involve scenarios in which one or a few large protoplanets interact with a swarm of much smaller planetesimals. In such scenarios, three-body perturbations by the protoplanet as well as mutual collisions and gravitational interactions between the swarm bodies are important in determining the velocity distribution of the swarm. We are developing a model to examine the effects of these processes on the evolution of a planetesimal swarm. The model consists of a combination of numerical integrations of the gravitational influence of one (or a few) massive protoplanets on swarm bodies together with a statistical treatment of the interactions between the planetesimals. Integrating the planetesimal orbits allows us to take into account effects that are difficult to model analytically or statistically, such as three-body collision cross-sections and resonant perturbations by the protoplanet, while using a statistical treatment for the particle-particle interactions allows us to use a large enough sample to obtain meaningful results.
Kary David M.
Lissauer Jack . J.
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