Asteroidal collision probabilities

Statistics – Computation

Scientific paper

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Asteroids, Collision Rates, Probability Distribution Functions, Computational Astrophysics, Formalism, Asteroids, Collisions, Techniques, Procedure, Model, Comparison, Analysis, Numerical Methods

Scientific paper

Several past calculations of collision probabilities between pairs of bodies on independent orbits have yielded inconsistent results. We review the methodologies and identify their various problems. Greenberg's (1982) collision probability formalism (now with a corrected symmetry assumption) is equivalent to Wetherill's (1967) approach, except that it includes a way to avoid singularities near apsides. That method shows that the procedure by Namiki and Binzel (1991) was accurate for those cases where singularities did not arise.

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