The Proximities of Asteroids and Critical Points of the Distance Function

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Minor Planets, Asteroids

Scientific paper

The proximities are important for different purposes, for example to evaluate the risk of collisions of asteroids or comets with the Solar-System planets. We describe a simple and efficient method for finding the asteroid proximities in the case of elliptical orbits with a common focus. In several examples we have compared our method with the recent excellent algebraic and polynomial solutions of Gronchi (2002, 2005).

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