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         Title: Chaos in the motion of asteroids 
        Author: Z. Knezevic   Main Session
        Speaker 
        Contact: Dr. Knezevic Yaroslav
         ABSTRACT 
        Chaos in the
        motion of asteroids is considerd from three different points of view. First
        we show how one can recognize the chaotic behaviour in the motion of
        asteroids and measure the degree of chaos. Next we discuss the dynamical
        mechanisms responsible for the onset of chaos. Finally, we give some examples
        on how chaotic diffusion and the resulting macroscopic instabilities
        can be used to study dynamical and physical properties of individual
        bodies, of their groupings, and of the asteroid belt as a whole. The
        method of "chaotic chronology", used to estimate an upper
        limit to the age of
        asteroid families, and an application of this method to Veritas family
        are described. Finally an attempt is made to probe the stability of
        the asteroid belt over exponentially long time-spans, by applying a
        spectral formulation of the Nekhoroshev theorem to real asteroids.    |