Mathematics – Probability
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975icar...25...18k&link_type=abstract
Icarus, vol. 25, May 1975, p. 18-33.
Mathematics
Probability
12
Astronomical Models, Energy Transfer, Jupiter (Planet), Particle Diffusion, Planetary Evolution, Earth Planetary Structure, Earth-Moon System, Energy Dissipation, Kinetic Energy, Lunar Evolution, Monte Carlo Method, Orbital Elements, Particle Collisions
Scientific paper
When Jupiter was on the order of three to ten earth masses in size, there undoubtedly was a considerably larger mass of condensed matter in its zone, since Jupiter would have perturbed most of it to other parts of the solar system. Monte Carlo studies indicate a significant portion would have crossed the earth's orbit. If the earth and moon had not yet fully formed, the probability of earth-zone planetesimals being hit by this Jupiter-scattered material was high. Further Monte Carlo models of these collisions and their products indicate a significant portion of matter was heated to melting, even if less than 5% of the relative kinetic energy went into heat. The models include capture probabilities by an embryo earth and a protolunar swarm. Because heat energy is correlated with comminution energy, and because the capture probability of the swarm is mass-dependent while embryo's is not, the protolunar material suffered much higher heating on the average than did the proto-earth material.
Bigeleisen P. E.
Kaula William M.
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