Mathematics – Probability
Scientific paper
Dec 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979m%26p....21..409r&link_type=abstract
Moon and the Planets, vol. 21, Dec. 1979, p. 409-417.
Mathematics
Probability
2
Asteroids, Planetology, Sizing (Shaping), Astronomical Models, Meteorite Collisions, Planetary Evolution, Planetary Mass, Regolith, Zenith
Scientific paper
The changes in the shape of an asteroid (such as 624 Hector) due to collisions with relatively small meteoroids are described by a model which takes center of gravity into account and is applied to spherical, elliptical, cubical, and irregularly shaped asteroids. Assuming that the cumulative probability of the collision (CPC) of a meteoroid on a point on the surface of an asteroid is proportional to the zenith angle of the horizon as seen by that point, that the rate of erosion of each point on the surface of an asteroid is proportional to the CPC, and that the asteroids have random obliquities and periods of rotation so that the flux of meteoroids as seen by the asteroid is isotropic, computer running of the model indicates that both cigars and dumbbells are possible outcomes. Sharp corners are smoothed away, the radius of curvature of rounded surfaces increases to the point of going from convexity to concavity, and flat surfaces develop into gentle concavities.
Furlong R. B.
Ronca Luciano B.
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