Mathematics – Probability
Scientific paper
Aug 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977mnras.180..243d&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 180, Aug. 1977, p. 243-279.
Mathematics
Probability
16
Astronomical Models, Cosmology, Natural Satellites, Planetary Evolution, Solar Orbits, Solar System, Celestial Mechanics, Collisions, Earth-Moon System, Galactic Evolution, Probability Distribution Functions
Scientific paper
The following 'irregular' features of the solar system are explained in terms of capture events following planetary collisions in a system of noncoplanar eccentric orbits: (1) the terrestrial planets; (2) the origin and capture of the moon; (3) asteroids, meteorites, and comets; (4) the origin and orbit of Pluto and the retrograde motion of Triton; and (5) the outer satellites of Jupiter. The probability of a planetary collision in the postulated orbital system and the products of such a collision are examined in detail. It is shown that a resisting medium resulting from a capture event would serve to round off the planetary orbits in a short time as compared with the age of the solar system and would also give rise to differential rotations of the lines of apses of the early orbits, leading to a high probability of collisions or close interactions between planets. Interactions are analyzed which could result in either substantial orbital modifications or a direct planetary collision. It is suggested that a planetary collision in the asteroid region could lead to the formation of the earth-moon system and that Triton could have been sufficiently perturbed during a Pluto-Neptune encounter to reverse its orbital motion
Dormand J. R.
Woolfson Michael M.
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