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. |