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The Proximities of Asteroids and Critical Points of the Distance Function

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Author(s): Milisavljevic, S.

Journal: Serbian Astronomical Journal
ISSN 1450-698X

Volume: 180;
Start page: 91;
Date: 2010;
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Keywords: Celestial mechanics | Minor planets | Asteroids

ABSTRACT
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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