Collision probability: a new analytical derivation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collision Processes, Planets, Partial Differential Equations, Galaxy Mergers, Collisions, And Tidal Interactions, Surfaces, Partial Differential Equations

Scientific paper

We characterize the region in orbital elements space containing
collisions solutions of a small body with a planet, in the framework of
the analytical theory of close encounters. This allows us to derive an
analytical estimate of the probability of collision somewhat different
from the well-known one given by Öpik.

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