%0 Journal Article %T The Proximities of Asteroids and Critical Points of the Distance Function %A Milisavljevic %A S. %J Serbian Astronomical Journal %D 2010 %I Astronomical Observatory, Department of Astronomy, Belgrade %X 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). %K Celestial mechanics %K Minor planets %K Asteroids %U http://saj.matf.bg.ac.rs/180/pdf/091-102.pdf